Ranked Set Sampling - Science topic

In this study, we propose a novel sampling technique known as Stratified Unified Ranked Set Sampling (SDURSS) and evaluate its efficiency for estimating population means. SDURSS is designed to enhance the estimation accuracy by integrating concepts from ranked set sampling with stratified sampling. Our results demonstrate that the SDURSS estimator...

This research compared the efficiency of several adjusted missing value imputation methods in multiple regression analysis. The four imputation methods were the following: regression-ratio quartile1,3 (R-RQ1,3) imputation of Al-Omari, Jemain and Ibrahim; adjusted regression-chain ratio quartile1,3 (AR-CRQ1,3) imputation of Kadilar and Cinji; adjust...

The hypothesis test for the equality of two population means of independent groups is the most commonly used statistical analysis with applications in medical sciences, agriculture, biology, engineering, social sciences and so on. This paper presents the RSStest package created to perform hypothesis testing for equality of two population means usin...

Ordered set sampling techniques are among the most popular current techniques used in estimation, especially for small sample sizes, and their efficiency has been proven in many articles as the best estimators for unknown parameters for several distributions. Systematic ranked set sampling and centralized ranked set sampling are two recently develo...

Survival data is a type of data that measures the time from a defined starting point until the occurrence of a particular event, such as time to death from small cell lung cancer after diagnosis, Length of time in remission for leukemia patients, Length of stay (i.e., time until discharge) in hospital after surgery. The accelerated failure time (AF...

Government and non-government organizations regularly initiate developmental programs in successive phases. Each phase plays a significant role in the development process. These programs aim to enhance the socio-economic conditions of communities and individuals by addressing issues such as poverty, health, education, women empowerment, and infrast...

Objectives: The study deals with the concept of Ranked Set Sampling (RSS) as an effective measure to find out the mean of the population when a sample of small size can be found without measuring or with other methods like ranking. The primary goal of this study is to investigate how well the proposed estimators perform compared to existing estimat...

Reliability, a crucial aspect in engineering and project management, signifies the likelihood of a system or project enduring without malfunction over a specified duration. Typically, the random variable X embodies the lifespan of the system or project. Stress-strength reliability, on the other hand, gauges the assurance that a product or process r...

Ranked set sampling is a well-known and efficient method compared to simple random sampling for estimating population parameters. In this study, we focus on the challenge of estimating the scale parameter of the primary variable $ Z $ using a multistage ranked set sample obtained by ordering the marginal observations of an auxiliary variable $ W $,...

Our study aimed to compare ordered ranked set sampling with moving extremes ranked set sampling in the context of type Ⅱ censoring. We focused on deriving Bayesian estimations and predictions using the linear exponential model. This analysis included various loss functions, such as squared error, Al-Bayyati, and general entropy. To evaluate the eff...

Extreme-cum-median ranked set sampling has been developed to address the problem of heterogeneity and outliers / extreme values. Double ranked set sampling has been suggested to obtain more reliable samples using the concept of degree of distinguishability. Dealing with heterogeneous and non-normal populations seems to be an area with a dearth of r...

The ranked set sampling (RSS) method is an efficient sampling method that is used when the judgment ranking is easy while measuring the sampling units is expensive. This method has a higher efficiency than the commonly used simple random sampling (SRS) method. If this method is implemented in two stages, it will be called double-ranked set sampling...

It is a common challenge in medical field to obtain the prevalence of a specific disease within a given population. To tackle this problem, researchers usually draw a random sample from the target population to obtain an accurate estimate of the proportion of diseased people. However, some limitations may occur in practice due to constraints, such...

The volume under the receiver operating characteristic (ROC) surface (VUS) is a natural generalization of a classical tool, the area under the ROC curve from a disease with two statuses (e.g., healthy and diseased) to a disease with a three-class status (e.g., healthy, intermediate, and diseased) for evaluating the effectiveness of a continuous bio...

In this paper, we get the empirical Bayes likelihood test rules for Exponential distribution based on ranked set sampling. Its asymptotic optimality is obtained. Due to the advantages of combining empirical Bayesian methods with prior information of samples, the accuracy of statistical inference can be improved. Therefore, the fusion of empirical B...

The Nigerian pensioners have high expectations from the government to ensure an effective implementation of pension regulations existing in the country. These expectations arise from the need to have sustainable standard of living in retirement and their benefits paid as at when due. However, the government does not know how many retirees will be a...

In this article, inference for a competing risk model is discussed when the cause of failures of units is dependent on using the maximum ranked set sampling (MaxRSS) approach. When the latent failure times follow the bivariate generalized Rayleigh distributions, inference for unknown parameters is obtained using frequentist and Bayesian approaches....

A very useful modification to ranked set sampling (RSS) that allows a larger set size without significantly increasing ranking errors is the maximum ranked set sampling with unequal samples (MRSSU) approach. This article covers the parameter estimation of the inverted Kumaraswamy distribution using MRSSU and RSS. The maximum likelihood and Bayesian...

Non-response is a common problem faced by surveyors while conducting surveys; this introduces a potential bias in the estimates of population parameters. One method of dealing with non-response is subsampling of the non-respondents, which increases precision in estimates by increasing the sample size. This study proposes an unbiased mean estimator...

This paper examines the use of ranked set sampling in the second stage of the two-stage sampling design to improve the regression estimator. The mean square errors of the suggested estimators are computed, and both theoretical and simulation results demonstrate improved estimates as compared to the conventional sampling methods, particularly in sit...

This study evaluates the comparative efficiency of Stratified Folded ranked set sampling (SFRSS) in estimating the population mean against three other sampling methods: Simple Random Sampling (SRS), Stratified Simple Random Sampling (SSRS), and Random Sampling (RSS). The analysis spans various probability distributions, Exp(1), Geo(0.5), Gamma, Wei...

In investigations of domains under post-stratified random sampling, it is difficult to get an acceptable precision for domain-specific estimates due to low sample sizes. Small area estimate, a popular technique that has been widely used over the past few decades, involves indirect estimating using the auxiliary data from the entire population. In t...

This paper aims to introduce a new approach to efficient mean estimators under ranked set sampling. In cases where the ranks of the auxiliary variables exhibit a positive correlation with the primary research variable, the proposed estimators are derived from a linear combination of conventional estimators such as product, ratio, and exponential. A...

In this study, we introduce a novel approach for estimating the mean of a finite population using Ranked Set Sampling (RSS), termed the generalized exponential ratio estimator. We derive expressions for the bias and mean squared error (MSE) of the proposed estimator up to the first order of approximation. To assess its performance, we conduct a tho...

In this comprehensive analysis, we unveil enhancements to a refined sample selection technique known as Stratified Double Unified Ranked Set Sampling with Perfect Ranking, specifically designed to accurately determine the population mean. This innovative method's capability to estimate the population means is rigorously evaluated against three esta...

In order to estimate the population mean in the presence of both non-response and measurement errors that are uncorrelated, the paper presents some novel estimators employing ranked set sampling by utilizing auxiliary information. Up to the first order of approximation, the equations for the bias and mean squared error of the suggested estimators a...

In this paper, we discuss estimating the fuzzy parameters of the Exponential-Rayleigh distribution using the Progressive Censored sample for the Rank Set method to become the proposed Rank Set Sampling estimation Method (RSSEM) in Censoring sample using the Newton-Raphson method to determine the parameter estimate values. Then utilizing Al Karkh Ge...

In order to reduce errors and enhance precision while estimating the unknown parameters of the distributions, it is crucial to choose a representative sample. The common estimation methods that estimate the parameters associated with the bathtub-shaped distribution include maximum likelihood (ML), maximum product of spacings estimation (MPSE), and...

In industrial, environmental, and ecological investigations, ranked setsampling is a sample method that enables the experimenter to usethe whole range of population values. The ranked set sampling processcan be modified in two extremely helpful ways: maximum ranked setsampling with unequal samples and minimum ranked set samplingwith unequal samples...

The ranked set sampling (RSS) procedure was initially established by McIntyre (1952) for estimating the mean of forage and pasture yield as more precise than simple random sampling (SRS). Recently, Aldrabseh and Ismail (2023) suggested the except extreme RSS (EERSS) approach as a modification to RSS for estimating the population mean. In this paper...

This study proposes a two-parameter survival model based on the Kavya-Manoharan transformation family and the Rayleigh-inverted Weibull distribution, the so-called Kavya-Manoharan-Rayleigh inverted Weibull distribution (KMRIWD). Various reliability measures and statistical properties of this distribution are analyzed. The parameters of the distribu...

In recent years, ranked set sampling, a cheap and effective sampling method, has been used for statistical inferences as an alternative to traditional simple random sampling. Although this trendy topic has been frequently studied in continuous models, it has only been studied in parameter estimation for the discrete Weibull distribution in discrete...

The study addressed the limitations of classical statistical methods when dealing with ambiguous data, emphasizing the importance of adopting neutrosophic statistics as a more effective alternative. Classical methods falter in managing uncertainty inherent in such data, necessitating a shift towards methodologies like neutrosophic statistics. To ad...

Ranked set sampling (RSS) is known to increase the efficiency of the estimators while comparing it with simple random sampling. The problem of missingness creates a gap in the information that needs to be addressed before proceeding for estimation. Negligible amount of work has been carried out to deal with missingness utilizing RSS. This paper pro...

The sample strategy employed in statistical parameter estimation issues has a major impact on the accuracy of the parameter estimates. Ranked set sampling (RSS) is a highly helpful technique for gathering data when it is difficult or impossible to quantify the units in a population. A bounded power logarithmic distribution (PLD) has been proposed r...

To get the estimated values for parameters, this study use the recommended Ranking set sampling estimator method (RSSE), which is based on the Newton Raphson approach. For type one censored data, the parameters of the Exponential-Rayleigh distribution of order statistic are estimated. subsequently utilising real COVID-19 data from Health and Enviro...

Environmental monitoring and assessment aim to gather data economically, without bias, using efficient and cost-effective sampling methods. One such traditional method is Ranked Set Sampling (RSS), often employed to achieve observational economy. This article introduces an innovative two-stage sampling approach for ranked set sampling (RSS) to get...

Ranked set sampling (RSS) is a useful technique for improving the estimator of a population mean when the sampling units in a study can be more easily ranked than the actual measurement. RSS performs better than simple random sampling (SRS) when the mean of units corresponding to each rank is used. The performance of RSS can be increased further by...

Feature selection, reducing number of input variables to develop classification model, is an important process to reduce computational and modeling complexity and affects the performance of image process. In this paper, we have proposed new statistical approaches for feature selection based on sample selection. We have applied our new approaches to...

This research investigates the application of the ordered ranked set sampling (ORSSA) procedure in constant-stress partially accelerated life-testing (CSPALTE). The study adopts the assumption that the lifespan of a specific item under operational stress follows a half-logistic probability distribution. Through Bayesian estimation methods, it conce...

We consider the Bayesian estimation of the parameters of a finite mixture model from independent order statistics arising from imperfect ranked set sampling designs. As a cost‐effective method, ranked set sampling enables us to incorporate easily attainable characteristics, as ranking information, into data collection and Bayesian estimation. To ha...

This paper explores the inference for a constant-stress accelerated life test under a ranked set sampling scenario. When the lifetime of products follows the Fréchet distribution, and the failure times are collected under a maximum ranked set sampling with unequal samples, classical and Bayesian approaches are proposed, respectively. Maximum likeli...

This paper presents improved population mean estimators using auxiliary variable in Stratified Ranked Set Sampling. We have derived the expressions for bias and mean square errors up to the first order of approximation and shown that the proposed estimators under optimum conditions are more efficient than other estimators taken in this paper. In an...

Hynniewta, Efficient rank set sampling estimators of mean using median under double sampling with two auxiliary variables, Advances and Applications in Statistics 91(8) (2024), 943-968. https://doi. Abstract It is collectively understood that ranked set sampling (RSS) can be approved in certain applied circumstances when the measurement of a variab...

Ranked Set Sampling (RSS) is a useful technique for improving the estimator of population mean when the sampling units in a study can be easily ranked than the actual measurement. RSS performs better than simple random sampling (SRS) when the mean of units corresponding to each rank is used. The performance of RSS can be increased further by assign...

Control charts are frequently employed in the field of statistical process monitoring (SPM) to track both the average and variability of a process. In this study, a novel nonparametric control chart is introduced, which utilizes modified Lepage-type test. This proposed chart serves the purpose of concurrently monitoring both location and scale para...

This paper explores the likelihood and Bayesian estimation of the stress–strength reliability parameter (R) based on a lower record ranked set sampling scheme from the generalized Rayleigh distribution. Maximum likelihood and Bayesian estimators as well as confidence intervals of R are derived and their properties are studied. Furthermore, two para...

The primary goal of this study is to address the limitations of classical statistics in handling ambiguous or indeterminate data. The best alternative to classical and fuzzy statistics for handling such data uncertainty is neutrosophic statistics, which is a generalization of both. A generalization of classical statistics, neutrosophic statistics a...

Effective sample design has a major role in the quality of parameter estimation in statisticalparameter estimation issues. The ranking set sampling (RSS) strategy is effective and a less costlyoption than simple random sampling (SRS). A novel mixture continuous lifetime distribution thathas been proposed recently is the power Chris-Jerry distributi...

The terrible operating constraints of many real-world events cause systems to malfunction regularly. The failure of systems to perform their intended duties when they reach their lowest, highest, or both extreme operating conditions is a phenomenon that researchers rarely focus on. The multi-stress strength reliability is deemed in this study for...

Several zero-augmented models exist for estimation involving outcomes with large numbers of zero. Two of such models for handling count endpoints are zero-inflated and hurdle regression models. In this article, we apply the extreme ranked set sampling (ERSS) scheme in estimation using zero-inflated and hurdle regression models. We provide theoretic...

Ranked set sampling distribution

Ranked set sampling is widely acknowledged for its superior efficiency compared with simple random sampling. Only a small amount of work has been conducted using ranked set sampling when measurement errors are present. This study introduces innovative estimators utilizing ranked set sampling to assess the population mean when faced with both correl...

In survival and stochastic lifespan modeling, numerous families of distributions are sometimes considered unnatural, unjustifiable theoretically, and occasionally superfluous. Here, a novel parsimonious survival model is developed using the Bilal distribution (BD) and the Kavya-Manoharan (KM) parsimonious transformation family. In addition to other...

The nonparametric (distribution-free) Shewhart-type control chart based on the Pettitt test has recently been introduced in the literature for joint monitoring of the location and the scale parameters of a continuous process. The chart is based on a simple random sampling (SRS) technique (denoted as SP-SRS chart). In the literature, the ranked set...

Sample selection is one of the most important factors in estimating the unknown parameters of distributions, as it saves time, saves effort, and gives the best results. One of the challenges is deciding on a suitable distribution estimate technique and adequate sample selection to provide the best results in comparison with earlier research. The me...

This study introduces a new qualitative randomized response technique for gathering trustworthy sensitive data using a perfect (imperfect) ranked set sampling design. This model takes into account the sizes (weights) of various balls on the randomizing device to choose one of the two questions (out of which one is sensitive); so the respondent feel...

The frequency and severity of traffic accidents are causing growing concern. This study aims to develop a tool to improve the traffic safety level on roundabouts and identify the influence of traffic operations, geometric parameters, weather, and time of day on improving roundabout traffic safety. It is the first study to evaluate the performance o...

The arctan uniform distribution (AUD) is a brand-new bounded distribution that may be used for modeling a variety of existing bounded real-world datasets. Ranked set sampling (RSS) is a useful technique for parameter estimation when accurate measurement of the observation is challenging and/or expensive. In the current study, the parameter estimato...

Estimation of population mean is a determined subject issue in sampling surveys and many efforts have been paid by various researchers to enhance the precision of the estimates by utilizing the correlated auxiliary information. In connection with this, we suggest an improved exponential ratio-cum-ratio estimator using transformed auxiliary variable...

In sampling surveys, estimating population means is a key challenge. Researchers have made several efforts to improve precision using correlated auxiliary information. This paper introduces enhanced ratio estimators under ranked set sampling and stratified ranked set sampling schemes. Estimators are compared based on Mean Square Errors (MSEs) and P...

Recently, ranked set samples schemes have become quite popular in reliability analysis and life-testing problems. Based on ordered ranked set sample, the Bayesian estimators and credible intervals for the entropy of the Rayleigh model are studied and compared with the corresponding estimators based on simple random sampling. These Bayes estimators...

This research investigates statistical methods for estimating the reliability in a complex system composed of non-identical components with varying strengths in the presence of upper record ranked set samples. To model the behavior of these components, a specialized distribution in the shape of a bathtub is assumed. This distribution offers flexibi...

In the model-based approach, researchers assume that the underlying structure, which generates the population of interest, is correctly specified. However, when the working model differs from the underlying true population model, the estimation process becomes quite unreliable due to misspecification bias. Selecting a sample by applying the balanci...

Working on symmetrical or asymmetrical data is complicated since each requires a different probability density function. Many statistical distributions can be used for these data types, where choosing one should be satisfied with the correct data type. So, we apply the ranked set sampling technique, which is essential in gaining data when dealing w...

Bayesian estimation of the linear regression parameter system is considered by deploying Median Rank Set Sampling (MRSS). The full conditional distributions and the associated posterior distribution are obtained. Therefore, based on Markov Chain Monte Carlo simulation, the Bayesian point estimates and credible intervals for the regression parameter...

In this paper, we discuss estimating the fuzzy parameters of the Exponential-Rayleigh distribution using the Progressive Censored sample for the Rank Set method to become the proposed Rank Set Sampling estimation Method (RSSEM) in Censoring sample using the Newton-Raphson method to determine the parameter estimate values. Then utilizing Al Karkh Ge...

In this paper, we apply the Ranked Set Sampling (RSS) technique to economic data in the form of homescan market research data set for the meat food group. The RSS method is then extended to select sampling units based on the Probability-Proportional-to-Size (PPS) approach. The new proposed ranked set sampling, using the PPS-derived method, RPPS, is...

A new sampling scheme is introduced in this paper which can be considered to be an extension of the stratified sub-sampling. Here, the population is first stratified, and probability proportional to size (PPS) sampling with replacement is used to select clusters within each stratum. From each selected cluster, units are selected with ranked set sam...

In this paper, a new modified ranked set sampling method is suggested, which is called stratified unified ranked set sampling (SURSS), for estimating the population mean. Then, we compare the efficiency of the empirical mean estimator based on the proposed sampling method with simple random sampling (SRS) , stratified simple random sampling ( SSRS)...

The purposes of this study are to propose a modified ranked set sampling, which is called stratified unified ranked set sampling (SURSS), for estimating the population mean and compare the efficiency of the empirical mean estimator based on SURSS with their counterparts in simple random sampling (SRS), stratified simple random sampling (SSRS) , and...

In this research, we studied the concomitants of generalized order statistics from the bivariate generalized Weibull distribution. We derived probability density functions and moments of concomitants of generalized order statistics from the bivariate generalized Weibull distribution. Moreover, utilizing the ranked set sample obtained from this dist...

In the sample survey theory, the crux of survey practitioners is to provide "accurate" estimators of the parameter of choice. The conventional theory depends on the regression/difference estimators as they correspond to the best linear unbiased (BLU) estimators. This paper suggests some optimal classes of estimators by modifying the conventional es...

This paper shows how to estimate one of the two shape parameters of Kumaraswamy distribution (KD) using two estimation methods. The first one is the rank set sampling (RSS) estimation method and the second one is the Bayes estimation method. The rank set sampling was employed as a non-Bayes estimator. In addition, Bayes estimators were used based o...

Quality control often employs memory-type control charts, including the exponentially weighted moving average (EWMA) and Shewhart control charts, to identify shifts in the location parameter of a process. This article pioneers a new Bayesian Adaptive EWMA (AEWMA) control chart, built on diverse loss functions (LFs) such as the square error loss fun...

Örnekleme çalışmalarında ilgilenilen değişken bakımından birimleri ölçmenin maliyetli veya zaman alıcı olması durumunda, sıralı küme örneklemesi kullanılarak basit tesadüfi örnekleme ve tabakalı tesadüfi örneklemeye göre daha etkin tahmin edicilerin elde edilmesi mümkün olmaktadır. Ayrıca, ilgilenilen istatistiğin varyansını minimize etmek için kul...

Robust regression-type estimators of population mean that use auxiliary variable information are proposed by considering robust methods under extreme ranked set sampling (ERSS) and quartile ranked set sampling (QRSS). We have used the data concerning body mass index (BMI) for 800 people in Turkey in 2014. The real data example is applied to see eff...

In this paper, we intend to utilize the multi auxiliary information available under RSS for the imputation of missing data. The mean imputation, regression imputation methods, and power transformation imputation method are identified as special cases of the proposed imputation methods. These methods are dominated by the proposed imputation methods....

In this article, we address the problem of estimating the parameters of Farlie-Gumbel-Morgenstern bivariate Weibull distribution using ranked set sample (RSS) design. The suggested estimators of the FGMBW distribution parameters are compared with their counterparts based on simple random sampling (SRS) via Monte Carlo simulations studies. An exampl...

Ranked set sampling (RSS) has been proved to be an efficient sampling design for parametric and nonparametric inference. This paper explores inference for a maximum RSS procedure with unequal samples (MRSSU) with multiple dependent failure causes. When the lifetimes of units are characterized by a proposed complementary competing risks model, class...

The article introduces a novel Bayesian AEWMA Control Chart that integrates different loss functions (LFs) like the square error loss function and Linex loss function under an informative prior for posterior and posterior predictive distributions, implemented across diverse ranked set sampling (RSS) designs. The main objective is to detect small to...

The general weighted cumulative residual extropy (GWCRJ) and general weighted cumulative past extropy (GWCPJ) are introduced in this article. There are some results in relation to GWCPJ and GWCRJ. We take into account GWCRJ-based uncertainty measures for the minimal ranked set sampling technique with unequal samples (minRSSU). Additionally, we take...

Buchanania lanzan is a deciduous tree belonging to the family Anacardiaceae. Tasty ripen fruit (berry) is nutritive, and the kernel (after decortications of the hard shell of the seed/ stone) is known as Chironji for trade. Chironji not only gives attractive prices to primary collectors but also generates employment for the rural workforce during t...

In this paper, we propose to use Power Rayleigh (PR) distribution for parameter estimation under simple random sampling (SRS), ranked set sampling (RSS) and double ranked set sampling (DRSS) schemes. The sampling technique plays an important role in statistical parameter estimation problems. In the current paper, DRSS, RSS, and SRS are considered f...