Elsayed Ahmed ElsherpienyFaculty of Graduate Studies for Statistical Research · Mathematical Statistics
Elsayed Ahmed Elsherpieny
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64
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Skills and Expertise
Publications
Publications (64)
In this paper, we introduce the Burr-X Marshall–Olkin-F (BXMO-F) family, which proves to be highly effective for real-life data analysis. We establish several of its mathematical properties and demonstrate that the BXMO-F family can accommodate a variety of hazard rates and density functions. We derive six risk measures for the BXMO-Lomax distribut...
Recently, improved Type-II adaptive progressive censoring has been introduced to ensure that the experimental duration does not exceed a certain time and that the test concludes once a predetermined number of failures are recorded. This paper addresses the problem of estimating the unknown parameters as well as the reliability and hazard rate funct...
In reliability literature and engineering applications, stress-strength (SS) models are
particularly important. This paper aims to estimate the SS reliability for an inverse
Weibull distribution having the same shape parameters but different scale parameters
when the strength (X) and stress (Y) random variables are independent. In the presence
of o...
Modern businesses depend on efficient management and evaluation of product quality performance to assure that they are on the right track, and process capability analysis is used to gauge business performance in practice. Consequently, the lifetime performance index (LPI) , where is the lower specification limit, is used to gauge a process potentia...
This paper aims at modeling the COVID-19 spread in the United Kingdom and United States of America, by specifying an optimal statistical univarite model. A new lifetime distribution with three-parameters is introduced by a combination of inverse Rayleigh distribution and odd Weibull family of distributions to formulate the odd Weibull inverse Rayle...
Accelerated life testing (ALT), a procedure utilized in reliability analysis, allows testing units to be subject to increasingly elevated grades of stress during an experiment. Step-stress tests are a subclass of accelerated tests in which the stress levels rise consecutively at prearranged cycles, consequently, the researcher might find out result...
The joint censoring technique is essential when the study's objective is to assess the relative benefits of products in relation to their service times. To reduce the cost and duration of the experiment, progressive censoring has gained a lot of attention in recent years. This article examines the statistical inference for the Burr Type III distrib...
This paper provides a novel model that is more relevant than the well-known conventional distributions, which stand for the two-parameter distribution of the lifetime modified Kies Topp–Leone (MKTL) model. Compared to the current distributions, the most recent one gives an unusually varied collection of probability functions. The density and hazard...
A new three-parameter lifetime distribution based on compounding Pareto and Poisson distributions is introduced and discussed. Various statistical and reliability properties of the proposed distribution including: quantiles, ordinary moments, median, mode, quartiles, mean deviations, cumulants, generating functions, entropies, mean residual life, o...
The purpose of this paper is to introduce the adaptive progressive hybrid censored scheme of the bivariate model which expands the limited applicability of failure censored schemes for the bivariate models in several fields of products. Also, the paper discusses a new bivariate model based on an adaptive progressive hybrid censored with more effica...
The purpose of this paper is to create a new bivariate model with more efficiency than the traditional models which discuss the effect of serum creatinine given the duration of diabetes. Based on FGM copula function and Chen distribution, we will introduce the bivariate FGM Chen distribution. Marginal distributions, product moments, and moment gene...
This paper aims to obtain a new flexible bivariate generalized family of distributions based on the FGM copula, which is called the bivariate FGM Weibull-G family. Some of its statistical properties are studied as marginal distributions, product moments, and moment generating functions. Some dependence measures as Kendall’s tau and a median regress...
In this paper, we first introduce the exponentiated generalized alpha power family of distributions to extend several other distributions. We use the new family and develop a new distribution, called the exponentiated generalized alpha power exponential (EGAPEx) distribution. The proposed EGAPEx distribution provides greater flexibility in modeling...
In this paper, we introduce the exponentiated generalized alpha power family of distributions to extend the several other distributions. We used the new family to discuss the exponentiated generalized alpha power exponential (EGAPEx) distribution. Some statistical properties of the EGAPEx distribution are obtained. The model parameters are obtained...
The significance of the statistical inference problem in reliability theory for the bivariate models under accelerated life testing (ALT) is enormous. In practice, independent variables are assumed for the sake of convenience, which contradicts the nature of the problem. The constant stress accelerated life testing (CS-ALT) for the bivariate model...
The extropy is considered to be a complementary dual of the well-known Shannon's entropy and has wide applications in many fields. This article discusses estimating the extropy and cumulative residual extropy of the Pareto distribution using the maximum likelihood and Bayesian methods. We obtain the maximum likelihood of extropies measures in prese...
Recently, the Bivariate Weibull distribution based on different copula functions has received considerable attention in the statistical literature. For progressive Type-II censored samples of bivariate distribution, the effective sample size of censored sample m is fixed; the progressive censoring scheme is provided during the experiment for one va...
The measure of entropy has a pivotal role in the information theory area. In this paper, estimation of differential entropy for Pareto distribution in presence of r outliers is considered. In this regard, the classical and Bayesian estimation techniques of differential entropy are employed. In classical setup, we obtain the maximum likelihood estim...
The measure of entropy has an undeniable pivotal role in the field of information theory. This article estimates the Rényi and q-entropies of the power function distribution in the presence of s outliers. The maximum likelihood estimators as well as the Bayesian estimators under uniform and gamma priors are derived. The proposed Bayesian estimators...
Entropy measurement plays an important role in the field of information theory. Furthermore, the estimation of entropy is an important issue in statistics and machine learning. This study estimated the Rényi and q-entropies of a power-function distribution in the presence of s outliers using classical and Bayesian procedures. In the classical metho...
We introduce a new generated family of distributions called odd Kumaraswamy Fréchet generated family of
distributions by using Kumaraswamy Fréchet distribution as a generator. Some fundamental statistical properties of the new family as;
moments, generating function, probability weighted moments, quantile function and order statistics are calculat...
A new method for generating family of distributions was proposed. Some fundamental properties of the new proposed family include the quantile, survival function, hazard rate function, reversed hazard and cumulative hazard rate functions are provided. This family contains several new models as sub models, such as the Weibull exponential model which...
The first part of this paper reviews the properties of bivariate dependence measures as Spearman's rho and Kendall's tau under the different copula. The second part of this paper derives the bivariate inverted Topp-Leone (BITL) distribution based on Farlie-Gumbel-Morgenstern (FGM), Ali-Mikhail-Haq (AMH), Plackett, and Clayton copula. The reliabilit...
In this paper, the bivariate generalized Rayleigh distribution is introduced based on Clayton copula and denoted as (Clayton-BGR). The likelihood function for progressive Type-II censoring scheme with random removal is derived and applied on the Clayton-BGR distribution. Bayesian and non-Bayesian estimation methods based on progressive Type-II cens...
We propose a new generated family of distributions that is known as the generalized alpha-power transformation-G (GAPT-G) family of distributions. The new class of family can be more flexible since the density shapes are left skewed, symmetrical and reversed-J. Some special models derived and discussed. Several of its important properties are deriv...
In the last few years, the Topp-Leone-G family has been regarded with various statistical applications. In this paper, efforts have been made to introduce a new family of distribution as an alternative to Topp-Leone-G distribution through a useful transformation with flexible hazard rate and greater reliability which we call new Topp-Leone-G (NTL-G...
The bivariate Weibull distribution is an important lifetime distribution in survival
analysis. In this paper, Farlie–Gumbel–Morgenstern (FGM) copula and Weibull
marginal distribution are used for creating bivariate distribution which is called FGM
Bivariate Weibull (FGMBW) distribution. FGMBW distribution is used for describing
bivariate data that...
In this paper, progressive Type-II hybrid censoring based on maximum product spacing method is introduced. Parameters estimation for the Power Lomax (PL) distribution are discussed under the progressive Type-II hybrid censoring based on maximum likelihood estimation and maximum product spacing method. A comparison studies with classical method as m...
The bivariate generalized Rayleigh distribution is an important lifetime distribution in survival analysis. In this paper, Clayton copula and generalized Rayleigh marginal distribution are used for creating bivariate distribution which are called bivariate generalized Rayleigh based on Clayton copula (Clayton-BGR) distribution. The reliability func...
We provide in this workshop the main tools for how the data are analyzed of distributions using R program. We show the way to plot graphs for distributions. The parameter estimation coding of distributions under complete samples are showed. And, how to generate progressive censored samples?. Also, how to estimate parameter under censored samples wi...
In this paper, parameters estimation for the generalized Rayleigh (GR) distribution are discussed under the adaptive type-II progressive censoring schemes based on maximum product spacing (MPS). A comparison studies with another methods as maximum likelihood (MLE), and Bayesian estimation by use Markov chain Monte Carlo (MCMC) are discussed. Also,...
In this paper, Farlie–Gumbel–Morgenstern (FGM) copula and Weibull marginal distribution are used for creating bivariate distribution which is called FGM Bivariate Weibull (FGMBW) distribution. Parameter estimation for the FGMBW distribution under progressive Type-II censoring samples have been introduced. Based on normal approximation to the asympt...
A new family of distributions called the Kumaraswamy type I half logistic is introduced and studied. The new family is extending well-known distributions as well as provides great flexibility to model specific real data and it is very easy in mathematical properties. Four new special models are presented. Some mathematical properties of the Kumaras...
A new family of distributions called type II Kumaraswamy half logistic-G class is introduced and studied. Five new special models of the proposed class are presented. Some mathematical properties of the new family are studied. Explicit expressions for the moments, probability weighted moments, quantile function, mean deviation, order statistics and...
The bivariate Weibull distribution is an important lifetime distribution in survival analysis. In this paper, Farlie-Gumbel-Morgenstern (FGM) copula and Weibull marginal distribution are used for creating bivariate distribution which is called FGM Bivariate Weibull (FGMBW) distribution. FGMBW distribution is used for describing bivariate data that...
In this article we introduce and study a new four-parameter distribution, called the odd generalized exponential power function distribution based on the odd generalized exponential generated family. The proposed model is a particular case from the odd generalized exponential family. Expressions for the moments, probability weighted moments, quanti...
Providing extended and generalized distribution is usually precious for many statisticians. A new
distribution, called odds generalized exponential-inverse Weibull distribution (OGE-IW) is suggested for
modeling lifetime data. Some structural properties of the new distribution are obtained. Three different
estimation procedures, namely; maximum lik...
Providing extended and generalized distribution is usually precious for many statisticians. A new distribution, called odds generalized exponential-inverse Weibull distribution (OGE-IW) is suggested for modeling lifetime data. Some structural properties of the new distribution are obtained. Three different estimation procedures, namely; maximum lik...
The aim of this study was to implement Plan‐Do‐Check‐Act (PDCA cycle) as a method for the continuous quality improvement in the dairy laboratories. This method was used to identify and analyze the critical problems that occur in the preanalytical stage of ultra‐high‐temperature (UHT) milk samples, to find the root causes of their occurrence and pro...
Failure modes and effects analysis (FMEA) is a proactive procedure for risk management and quality improvement in laboratories. The FMEA was carried out on pre‐analytical stage of ultra‐high‐temperature milk samples. It was applied at two different stages; in the first phase, the potential failure mode was chosen and the probable risks for failure...
Gamma and log-logistic distributions are two popular distributions for analyzing lifetime data. In this paper, the problem of discriminating between these two distribution functions is considered in case of progressive type II censoring. The ratio of the maximized likelihood test (RML) is used to discriminate between them. Some simulation experimen...
A new model called exponentiated new weighted Weibull distribution has been defined and studied. Some mathematical properties of the proposed model including moments, hazard rate, quantile, Order Statistics and moment generating function are derived. Also, numerical illusteratan to follow the behaviours of estimators are applied. Parameters estimat...
Echocardiography is a well-established method for evaluating the heart and its function. The knowledge of normal echocardiographic anatomy and dimensions represents the basis for the diagnosis of abnormal cardiac affections. The present study was performed on 11 adult buffaloes that were divided into 2 groups according to their body weights. The te...
The Weibull distribution has been used over the past decades for modeling data in many fields so finding generalization of the Weibull distribution becomes very useful to fit more cases or get better fits than before. In this paper, the Kumaraswamy Kumaraswamy Weibull (Kw Kw W) distribution is presented for the first time and we show that it is gen...
In this paper, parameters estimation under type II censored samples and the corresponding variance covariance matrix for the new Weibull-Pareto distribution are obtained. Nasiru and Luguterah (2015) Results may be considered as a special case from present results. An illustrative example is carried out by using a simulated data. Index Terms-The new...
The purpose of this study was to report the normal ultrasonographic appearance and spinal cord sagittal diameter of canine neonates. Longitudinal and transverse scans were done on 11 clinically normal canine neonates were performed at 3, 10, 20 and 30 days of age, using 8-10 MHz linear transducer. Measurement of the spinal cord sagittal diameter wa...
The purpose of this study was to report the normal ultrasonographic appearance and
spinal cord sagittal diameter of canine neonates. Longitudinal and transverse scans
were done on 11 clinically normal canine neonates were performed at 3, 10, 20 and
30 days of age, using 8-10 MHz linear transducer. Measurement of the spinal cord
sagittal diameter wa...
In this paper, new distribution so called the Kumaraswamy – Kumaraswamy (KW-KW) distribution, as a Special model from the class of Kumaraswamy Generalized (KW-G) distributions, is introduced. the probability density function (pdf), the cumulative distribution function (cdf), moments, quantiles, the median, the mode, the mean deviation, the entropy,...
The generalized probability weighted moments are widely used in hydrology for estimating parameters of flood
distributions from complete sample. The method of partial generalized probability weighted moments was used to
estimate the parameters of distributions from censored sample. This article offers new method called partial generalized
probabili...
In many situations, instead of complete sample, data is available only in grouped form. This paper presents estimation of population parameters for the exponentiated inverted Weibull distribution based on grouped data with equi and unequi-spaced grouping. Several alternative estimation schemes, such as, the method of maximum likelihood, least lines...
This paper deals with the estimation problem of reliability where X, Y and Z are
independently Weibull distribution with common known shape parameter but with different scale parameters, in
presence of k outliers in strength X. The moment, maximum likelihood and mixture estimators of R are derived.
An extensive computer simulation is used to compar...
In this paper, a general form of the cumulative distribution function and a moment generating function of the unbalanced (weighted) non-central chi-square distribution with degrees of freedom are obtained. Grau's result of moments (2009) can be obtained easily from the given moment generating function.
In this paper we consider the probability density function (pdf) of the weighted non-central chi-square distribution with degrees of freedom. This pdf presented in the literature as an infinite sum. Herein, we present an alternative simple expression to this pdf which may be useful in the future studies. The results of Kettani (2006) and Andras a...
In this article, we present Bayes estimators for the parameters and reliability function of the $ \beta $-Birnbaum-Saunders distribution under both the symmetric (squared error, SE) loss function and asymmetric (LINEX and general entropy, GE) loss functions. The Bayes estimators can not be obtained in closed form. Approximate Bayes estimators are c...
Maximum likelihood estimators for the three unknown parameters of weighted Weibull distribution and the corresponding asymptotic variance covariance matrix
are obtained under type II censored sample. Shahbaz et el. (2010) results may be considered as a special case from these results. Numerical illustrations will be carried out.
In this paper, maximum likelihood estimators (MLE's) for t he unkno wn p arameters and the corresponding asymptotic variance covariance matrix of the three-parameter kappa distribution will be obtained under t ype II censored sample. Results obtained by Park et al. in the complete case may be (4)
In this paper, maximum likelihood estimators (MLE's) for the unknown parameters and the corresponding asymptotic variance covariance matrix of the four-parameter kappa distribution are obtained under type II censored sample. Results obtained by Winchester (2000) in the complete case may be considered as a special case from present results. An illus...