Liang Wang

Yunnan Normal University · School of Mathematics

The estimation of unknown model parameters and reliability characteristics is considered under a block adaptive progressive hybrid censoring scheme, where data are observed from a Weibull model. This censoring scheme enhances experimental efficiency by conducting experiments across different testing facilities. Point and interval estimates for para...

In this article, estimation for a new capability index \(S^{\prime }_{pmk}\) which is based on asymmetric loss function (linear-exponential) is discussed when the underlying process follows generalized exponential distribution. Various estimates of the model parameters are proposed including maximum likelihood method, bias-corrected maximum likelih...

In this article, estimation for a new capability index S'pmk which is based on asymmetric loss function (linear-exponential) is discussed when the underlying process follows generalized exponential distribution (GED). Various estimates of the model parameters are proposed including maximum likelihood method, bias-corrected maximum likelihood method...

In this paper, estimation is considered for model parameters and reliability assessment is also discussed under a block progressive censoring scheme, which enhances experimental efficiency by conducting tests within multiple testing facilities. Under the assumption that failure times of units follow a unit inverse Weibull distribution, various poin...

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...

In this article, estimation of survival characteristics is discussed when life tests are performed against different test facilities using block progressive Type-II censoring. Under the assumption that the lifetimes of test units follow a family of inverted exponentiated distributions, estimates are derived under classical and hierarchical Bayesian...

In this article, estimation of survival characteristics is discussed when life tests are performed against different test facilities using block progressive Type-II censoring. Under the assumption that the lifetimes of test units follow a family of inverted exponentiated distributions, estimates are derived under classical and hierarchical Bayesian...

We make inference for a competing risks model under the assumption that observations are left-truncated and right-censored and failure causes are partially observed. When the latent failure times follow a generalized family of distributions, inference for unknown parameters is provided using classical and Bayesian approaches. Particularly existence...

The reliability of the multicomponent stress–strength system was investigated under the two-parameter Burr X distribution model. Based on the structure of the system, the type II censored sample of strength and random sample of stress were obtained for the study. The maximum likelihood estimators were established by utilizing the type II censored B...

In distribution theory, Gompertz distribution is highly valuable from a practical standpoint. Its exceptional ability in simulating death rates of human data is well known. Tracking the peaks and extremes of the impacts of such catastrophic occurrences is especially interesting during plagues, stock market meltdowns, famines, and other known human...

This paper considers the problem of making inference for a multicomponent stress–strength (MSS) model under Type-II censoring. It is assumed that stress–strength components of the multicomponent system follow unit generalized Rayleigh (UGR) distributions. Inferences are derived when the strength and stress have a common unknown UGR parameters. We d...

Dependent competing risks model is a practical model in the analysis of lifetime and failure modes. The dependence can be captured using a statistical tool to explore the relationship among failure causes. In this paper, an Archimedean copula is chosen to describe the dependence in a constant-stress accelerated life test. We study the Archimedean c...

In this paper, different estimation is discussed for a general family of inverse exponentiated distributions. Under the classical perspective, maximum likelihood and uniformly minimum variance unbiased are proposed for the model parameters. Based on informative and non-informative priors, various Bayes estimators of the shape parameter and reliabil...

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...

In this paper, studies of competing risks model are considered when the observations are left-truncated and right-censored data. When the failure times of the competing risks are distributed by a generalized inverted exponential model with same scale but different shape parameters with partially observed failure causes, statistical inference for th...

In this paper, reliability estimation for a competing risks model is discussed under a block progressive censoring scheme, which improves experimental efficiency through testing items under different testing facilities. When the lifetime of units follows an inverted exponentiated exponential distribution (IEED) and taking difference in testing faci...

This paper explores estimation of stress-strength reliability based on upper record values. When the strength and stress variables follow unit-Burr Ⅲ distributions, a generalized inferential approach is proposed for estimating stress-strength reliability (SSR). Under the common strength and stress parameter case, two types of pivotal quantities are...

The analysis of the constant-stress partially accelerated life test was considered under progressive Type-II censoring when the lifetime of the products follows a two-parameter bathtub-shaped distribution. The maximum likelihood estimates of the unknown parameters were established, where the expectation–maximization iterative solution is proposed f...

Order statistic plays an important role in statistical theoretical and practical problems. In this paper, we derive algebraic expressions for both single and product moments of order statistics from generalized Topp-Leone (GTL) distribution. These expressions will be useful for computational purposes. Further, based on order statistics, we have obt...

The ranked set sampling (RSS) is an efficient and flexible sampling method. Based on a modified RSS named minimum ranked set sampling samples (MinRSSU), inference of a dependent competing risks model is proposed in this paper. Then, Marshall–Olkin bivariate distribution model is used to describe the dependence of competing risks. When the competing...

We consider the estimation of multicomponent stress-strength reliability under classical as well as Bayesian approaches when stress-strength components follow lognormal distributions and data are observed under progressive censoring. Various estimates are obtained by sequentially considering one parameter common and unknown. Different expressions f...

In this paper, a unit inverse Weibull distribution as well as its basic structural properties is proposed. Furthermore, classical inferences for multicomponent reliability are discussed under type-II censoring when stress and strength components have a common parameter. The maximum likelihood estimator of the reliability is obtained and in sequel a...

Reliability analysis for a multicomponent stress-strength (MSS) model is discussed in this paper. When strength and stress variables follow generalized inverted exponential distributions (GIEDs) with common scale parameters, maximum likelihood estimate of MSS reliability is established along with associated existence and uniqueness, and approximate...

In this paper, inference and prediction problems are studied under progressively Type-II censored data. When the latent lifetime follows the Unit-Generalized Rayleigh distribution, maximum likelihood estimators of the unknown parameters are established, and corresponding existence and uniqueness are also provided. Besides, the approximate confidenc...

In this paper, a competing risks model with dependent causes of failure is considered under left-truncated and right-censoring scenario. When the dependent failure causes follow a Marshall–Olkin bivariate exponential distribution, estimation of model parameters and reliability indices are proposed from classic and Bayesian approaches, respectively....

Ranked set sampling (RSS) provides an efficient and flexible approach to collect failure information from perspectives of saving time and cost. In this paper, inference of a competing risks model is proposed based on a popular RSS named minimum ranked set sampling with unequal samples setting. When the lifetimes of competing risks follow exponentia...

In this paper, estimation of a competing risks model is discussed with partially observed modes of failure. When latent lifetimes of competing risks follow the Kies distribution under a generalized progressive hybrid censoring, estimation of the unknown parameters is explored under non-order and order restrictions via classical and Bayesian approac...

We consider estimation of reliability in a multicomponent system when data are observed under Type-II censoring. Various estimates of this parametric function are derived when stress and strength (SS) variables follow inverse exponentiated distributions with a common scale parameter. We first obtain maximum likelihood estimate of the reliability. T...

In this paper, inference and prediction problems are studied under progressively Type-II censored data. When the latent lifetime follows the Unit-Generalized Rayleigh distribution , maximum likelihood estimators of the unknown parameters are established, and corresponding existence and uniqueness are also provided. Besides, the approximate confiden...

Inference for Matusita measure between independent generalized inverted exponential distributions (GIEDs) is investigated under progressive first-failure censoring. When both GIEDs have common scale but different shape parameters, maximum likelihood estimator of the Matusita measure along with the existence and uniqueness of model estimators are es...

In this article, the reliability estimation of the generalized half-normal distribution (GHN) is considered when data are subject to both left truncation and right censoring (LTRC). Since the EM algorithm for the generalized gamma distribution (that includes GHN as a special case) based on LTRC data was developed in Balakrishnan and Mitra [Em-based...

Multicomponent stress–strength reliability (MSR) is explored for the system with Burr XII distributed components under Type-II censoring. When the distributions of strength and stress variables have Burr XII distributions with common or unequal inner shape parameters, the existence and uniqueness of the maximum likelihood estimators are investigate...

We make inference for a multicomponent stress-strength (MS) model under type-II censoring. It is assumed that lifetimes of strength and stress components follow unit Burr III distributions. Maximum likelihood estimator of MS parameter is obtained under a common shape parameter and in sequel approximate confidence intervals are constructed. Pivotal...

The reliability of high-reliable and long-lifespan products in the presence of competing risks are commonly derived based on a known acceleration model and a latent independent competing risks model. For the cases with unknown acceleration models and dependent competing risks, this paper proposes a copula based partially accelerated competing risks...

Based on record values and inter-record times, this paper develops inference procedures for the estimation of the parameters of generalized inverted exponential distribution (GIED). First, based on inverse and random sampling schemes, we derive the maximum likelihood estimators (MLEs) and associated asymptotic confidence intervals of the unknown pa...

This paper explore statistical inferences when the lifetime of product follows the inverse Nakagami distribution using progressive Type-II censored data. First, likelihood based estimation method and maximum product of spacing (MPS) method are considered for estimating parameters of the model. In addition, approximate confidence intervals are const...

We study a competing risks model under the assumption that latent failure times follow family of Lomax distributions. We obtain various inferences for model parameters when causes of failure are partially known and lifetime data are observed using a generalized progressive hybrid censoring scheme. The existence and uniqueness properties of maximum...

In this article, we are interested to estimate a new capability index C0 pm which is based on asymmetric loss function (linear-exponential) when the underlying process follows normal distribution. We estimate the parameters of the model using maxi- mum likelihood method, bias-corrected maximum likelihood method and bootstrap bias corrected maximum...

In this paper, extended preventive replacement models for series and parallel system with n independent non-identical components are proposed. It is assumed that the system suffers from two types of failure. One is repairable (type-I) failure, at that time the system can be rectified by minimal repair. Another is non-repairable (type-II) failure, t...

We study the problem of estimating multicomponent stress-strength reliability under progressive Type II censoring when stress and strength variables follow unit Burr III distributions with a common shape parameter. Point and interval estimates of this parametric function are derived using both classical and Bayesian approaches. Different approximat...

In this paper, the problem of interval estimation is considered for the parameters of the generalized inverted exponential distribution. Based on upper record values, different pivotal quantities are proposed and the associated exact and generalized confidence intervals are constructed for the unknown model parameters and reliability indices, respe...

In this paper, statistical inference is discussed for left-truncated and right- censored (LTRC) competing risks data. For modeling the latent dependent competing risks variables, a flexible bivariate lifetime model is constructed with a general class of inverse exponentiated marginal distribution, and asso- ciated distribution properties are provid...

In this paper, generalized progressive hybrid censoring is discussed, while a scheme is designed to provide a flexible and symmetrical scenario to collect failure information in the whole life cycle of units. When the lifetime of units follows Kumaraswamy distribution, inference is investigated under classical and Bayesian approaches. The maximum l...

The loss function plays an important role in Bayesian analysis and decision theory. In this paper, a new Bayesian approach is introduced for parameter estimation under the asymmetric linear-exponential (LINEX) loss function. In order to provide a robust estimation and avoid making subjective choices, the proposed method assumes that the parameter o...

Accelerated Life Test has been introduced as a tool to aid in obtaining sufficient failure time data of test units quickly and extrapolating lifetime information under use conditions. When the lifetime of units is distributed by the Lindley model, the estimations for the unknown parameters and the reliability function are established based on two f...

In this paper, the interest is in estimating the Weibull products when the available data is obtained via generalized progressive hybrid censoring. The testing scheme conducts products of interest under a more flexible way and allows collecting failure data in efficient and adaptable experimental scenarios than traditional lifetime testing. When th...

In the stress–strength model, the estimation of the probability \(\delta = \Pr (X < Y)\) is one of the important issues. In this chapter, Bayesian estimation of δ under correlated progressively type II censored sample from the Moran–Downton bivariate exponential (DBVE) distribution is investigated. The Markov-Chain Monte Carlo (MCMC) method is appl...

Please cite this article as: L. Wang, Y.M. Tripathi, S. Dey et al., Analysis of dependent left-truncated and right-censored competing risks data with partially observed failure causes, Mathematics and Computers in Simulation (2021), doi: https://doi. Abstract In this paper, studies of left-truncated and right-censored data with dependent competing...

Abstract: Inference is investigated for multicomponent stress-strength reliability (MSR) under Type-II censoring when the latent failure times follow two-parameter Rayleigh distribution. With a context that the lifetimes of the strength and stress variables have common location parameters, the maximum likelihood estimator of MSR along with the exis...

In this paper, statistical inference and prediction issue of left truncated and right censored dependent competing risk data are studied. When the latent lifetime is distributed by Marshall–Olkin bivariate Rayleigh distribution, the maximum likelihood estimates of unknown parameters are established, and corresponding approximate confidence interval...

In this paper, inference of multicomponent system is presented under constant-stress accelerated life test. When the lifetime of the components of the mul-ticomponent system follows a generalized inverted exponential distribution (GIED), different from standard extrapolation approach where only the scale parameter depends on the stress conditions,...

In this article, seven classical estimation methods are employed to estimate the parameters of unit Burr III distribution proposed by Modi and Gill (2019). Further, the associated second-order bias corrections of the MLEs of its parameters are obtained by using Cordeiro and Klein (1994) modified version of the Cox and Snell (1968) approach. Besides...

In this paper, accelerated life test is considered when the latent failure times follow Weibull competing risks models. When both scale and shape parameters are nonconstant and affected by operating stresses, inference is discussed for a constant-stress model under a generalized progressive hybrid censoring. Maximum likelihood estimates together wi...

This paper presents methods of estimation of the parameters and acceleration factor for Nadarajah-Haghighi distribution based on constant-stress partially accelerated life tests. Based on progressive Type-II censoring, Maximum likelihood and Bayes estimates of the model parameters and acceleration factor are established, respectively. In addition,...

In this paper, statistical inference for a competing risks model is discussed when latent failure times belong to a general family of inverted exponentiated distributions. Based on a generalized progressive hybrid censored data with partially observed failure causes, estimations for unknown parameters are presented under nonrestricted and restricte...

In this paper, reliability estimation of multicomponent system under a multilevel accelerated life testing. When the lifetime of components follows Weibull distribution, the problem of point and interval estimates are discussed from different perspectives. Under a general life-stress assumption that there are multiple nonconstant and stress depend...

In this paper, inference for a competing risks model is studied when latent failure times follow Kumaraswamy distribution and causes of failure are partially observed. Under generalized progressive hybrid censoring, existence and uniqueness of maximum likelihood estimators of model parameters are established. The confidence intervals are obtained b...

The process capability index (PCI) has been introduced as a tool to aid in the assessment of process performance and most of the traditional PCIs performed well when process follows the normal behavior. In this article, we consider a PCI, C pm for normal random variables. The objective of this article is five fold: First, six different methods of e...

In this paper, a competing risks model based on the generalized progressive hybrid censored two‐parameter Rayleigh distributions is studied under the assumption that the lifetime distributions of failure causes are identically distributed with same location and different scale parameters. We obtain maximum likelihood estimates of unknown parameters...

Competing risks model is considered with dependence causes of failure in this paper. When the latent failure times are distributed by a bivariate Gompertz model, statistical inference for the unknown model parameters is studied from classical and Bayesian approaches, respectively. Under a generalized progressive hybrid censoring, maximum likelihood...

In this paper, inference for a multicomponent stress–strength model is studied. When latent strength and stress random variables follow a bathtub-shaped distribution and the failure times are Type-II censored, the maximum likelihood estimate of the multicomponent stress–strength reliability (MSR) is established when there are common strength and st...

The inference for the dependent competing risks model is studied and the dependent structure of failure causes is modeled by a Marshall-Olkin bivariate Rayleigh distribution. Under generalized progressive hybrid censoring (GPHC), maximum likelihood estimates are established and the confidence intervals are constructed based on the asymptotic theory...

Based on the k-record values, confidence sets are explored for the parameters of the generalized inverted exponential distribution. Series of exact balanced confidence intervals and exact confidence regions are constructed using pivotal quantities. In order to obtain minimum-size confidence sets, constrained optimization problems are also discussed...

In this paper, inference for a multicomponent stress–strength (MSS) model is studied under censored data. When both latent strength and stress random variables follow Kumaraswamy distributions with common shape parameters, the maximum likelihood estimate of MSS reliability is established and associated approximate confidence interval is constructed...

Under progressive Type-II censoring, inference of stress-strength reliability (SSR) is studied for a general family of lower truncated distributions. When the lifetime models of the strength and stress variables have arbitrary and common parameters, maximum likelihood and pivotal quantities based generalized estimators of SSR are established, respe...

In this paper, competing risks model is considered when causes of failure are dependent. When latent failure times are distributed by the Marshall-Olkin bivariate Kumaraswamy model, inference for the unknown model parameters is studied under a generalized progressive hybrid censoring. Maximum likelihood estimates of unknown parameters are establish...

We consider estimation and prediction for the two-parameter Chen distribution on the basis of progressive first failure censoring. The classical estimates of parameters are obtained. In particular, the least square estimation is considered. Further Bayes estimates are derived using the Tierney and Kadane method. We have also used the MH algorithm f...

In this paper, a competing risks model is studied when the latent failure times follow Weibull distribution. When the failure times are observed under generalized progressive hybrid censoring and the causes of failure are partially observed, the maximum likelihood estimators of the model parameters are established together with associated existence...

In this paper, a competing risks model based on a generalized progressive hybrid censoring is considered. When the latent lifetime distributions of failure causes are exponential distributed and partially observed, maximum likelihood estimates for unknown parameters are established and the associated asymptotic confidence interval estimates are pro...

Inference are considered for the dependence competing risks model by using the Marshal-Olkin bivariate exponential distribution. Under generalized progressively hybrid censoring with partially observed failure causes, the maximum likelihood estimators are established, and the approximate confidence intervals are also constructed via the observed Fi...