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Interval Estimation for the Two-Parameter Exponential Distribution under Progressive Type II Censoring on the Bayesian Approach

Shu-Fei Wu
2022 Symmetry  
Under progressive type II censoring, the credible interval estimation and the credible region for parameters of two-parameter exponential distribution based on the Bayesian approach are presented in this  ...  Two methods of Bayesian credible region are proposed under a given confidence level. We also presented the predictive interval of the future observation under this type of censoring.  ...  Under progressive type II censoring, Wu [11] proposed the interval estimation for two parameters of exponential distribution.  ... 
doi:10.3390/sym14040808 fatcat:syxr4vd4svghdh5nt5dmw57tiq

Prediction for Modified Topp Leone-Chen Distribution Based on Progressive Type-II Censoring Scheme

G. R. AL-Dayian, A. A. EL-Helbawy, N. T. AL-Sayed, E. M. Swielum
2021 Journal of Advances in Mathematics and Computer Science  
This paper focuses on predicting the future observations from the modified Topp-Leone Chen distribution based on progressive Type-II censored scheme.  ...  The two-sample prediction is applied to obtain the maximum likelihood, Bayesian and E-Bayesian prediction (point and interval) for future order statistics.  ...  Acknowledgement The authors would like to thank the Editor and Referees for their useful and valuable comments which led to improvements of the paper.  ... 
doi:10.9734/jamcs/2021/v36i330345 fatcat:7jcpqrm6q5fizo3x66akqkzuna

Bayesian Testing Procedure on the Lifetime Performance Index of Products Following Chen Lifetime Distribution Based on the Progressive Type-II Censored Sample

Shu-Fei Wu, Wei-Tsung Chang
2021 Symmetry  
type-II censored sample.  ...  We derived the uniformly minimum variance unbiased estimator (UMVUE) for CL, and we used this estimator to develop a hypothesis testing procedure of CL under a lower specification limit based on the progressive  ...  Chen distribution based on the progressive type-II censored sample.  ... 
doi:10.3390/sym13081322 fatcat:mqncmykexzcojitmoeod24evku

Bayesian analysis of an exponentiated half-logistic distribution under progressively type-II censoring

Suk Bok Kang, Jung In Seo, Yongku Kim
2013 Journal of the Korean Data and Information Science Society  
This paper develops maximum likelihood estimators (MLEs) of unknown parameters in an exponentiated half-logistic distribution based on a progressively type-II censored sample.  ...  type-II censored data from an exponentiated half logistic distribution.  ...  Concluding remarks In this papers we present the MLEs and Bayesian estimators of unknown parameters in an exponentiated half-logistic distribution based on a progressively type-II censored sample.  ... 
doi:10.7465/jkdi.2013.24.6.1455 fatcat:liler6c3pzayhhb3p46teiroga

Classical and Bayesian Inference of an Exponentiated Half-Logistic Distribution under Adaptive Type II Progressive Censoring

Ziyu Xiong, Wenhao Gui
2021 Entropy  
The point and interval estimations for the unknown parameters of an exponentiated half-logistic distribution based on adaptive type II progressive censoring are obtained in this article.  ...  With respect to Bayesian estimation, the Lindley method is used under three different loss functions.  ...  In this article, the problem of the point and interval estimation of the parameters for exponentiated half logistic distribution under adaptive type II progressive censored data are considered.  ... 
doi:10.3390/e23121558 pmid:34945864 pmcid:PMC8699882 fatcat:tvw7pk7up5glfgo5osdcwqwz6e

Bayesian Estimation and Prediction of Burr Type XI Distribution under Singly and Doubly Censored Samples

Navid Feroze, Muhammad Aslam, Azhar Saleem
2014 International Journal of Hybrid Information Technology  
Fauzy (2004) discussed the classical interval estimation for parameters of exponential distribution under doubly type II censoring.  ...  The purpose of the paper is to address the problem of estimation and prediction of the Burr type XI distribution under Bayesian framework based on censored samples.  ...  Wu et al. (2007) considered the estimation problems for Burr distribution based on progressive type II censoring with random removals, where the number of units removed at each failure time has a discrete  ... 
doi:10.14257/ijhit.2014.7.2.29 fatcat:fsqxa6hojvb4jfgtbkch2bgz4u

Inference for the log-logistic distribution based on an adaptive progressive type-II censoring scheme

Maha F. Sewailem, Ayman Baklizi, Yan Sun
2019 Cogent Mathematics & Statistics  
for the parameters and the survival function in both methods based on an adaptive progressive type-II censoring scheme.  ...  Key words: Maximum likelihood estimation (MLE), Bayesian estimation, adaptive progressive type-II censoring scheme, squared error loss function (SELF) iv DEDICATION This work is dedicated to the three  ...  Moreover, in 2017, the exponentiated exponential distribution was stayed for an adaptive progressive type-II censoring scheme.  ... 
doi:10.1080/25742558.2019.1684228 fatcat:hyhu2uatmje2ffkhvqmg2uymdi

Inferences for Alpha Power Exponential Distribution Using Adaptive Progressively Type-II Hybrid Censored Data with Applications

Refah Alotaibi, Ahmed Elshahhat, Hoda Rezk, Mazen Nassar
2022 Symmetry  
As a result, using an adaptive progressive Type-II hybrid censoring scheme, this paper investigates the estimation problems of the alpha power exponential distribution.  ...  The Bayesian method for estimating the parameters and reliability indices of the alpha power exponential distribution is recommended based on numerical results, especially when the number of observed data  ...  Acknowledgments: The authors would like to express their appreciation to the editor and the three anonymous referees for their useful guidance and helpful observations.  ... 
doi:10.3390/sym14040651 fatcat:bn2euxk3s5f6xoa3zvcdadvwfe

Bayesian estimation based on generalized order statistics from exponentiated Weibull Poisson model

Abd-Elfattah A. M, Amal S. Hassan, Said G. Nassr
2015 International Journal of Advanced Statistics and Probability  
In this research paper, the estimation of the unknown parameters for the exponentiated Weibull Poisson distribution using the concept of generalized order statistics is investigated from Bayesian approach  ...  Bayes estimates based on Progressively type II censored and the joint density function of ordinary order statistics are considered as special cases of generalized order statistics.  ...  Estimates of the unknown parameters and confidence intervals from progressively type II censoring and record values are obtained.  ... 
doi:10.14419/ijasp.v3i1.4300 fatcat:u5tbqh3sczelxf2zw72itcg3xa

Classical and Bayesian Inference on Finite Mixture of Exponentiated Kumaraswamy Gompertz and Exponentiated Kumaraswamy Fréchet Distributions under Progressive Type II Censoring with Applications

Refah Alotaibi, Ehab M. Almetwally, Indranil Ghosh, Hoda Rezk
2022 Mathematics  
To estimate the model parameters under the classical method, we use the maximum likelihood estimation using a progressive type II censoring scheme.  ...  Under the Bayesian paradigm the estimation is carried out with gamma priors under a progressive type II censored samples with squared error loss function.  ...  Acknowledgments: Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R50), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia) Conflicts of Interest: The  ... 
doi:10.3390/math10091496 fatcat:ycogxvh7gvcytid33ref57mski

Inference on Constant-Partially Accelerated Life Tests for Mixture of Pareto Distributions under Progressive Type-II Censoring

Tahani A. Abushal, Areej M. AL-Zaydi
2017 Open Journal of Statistics  
The two-sample prediction technique is considered to derive Bayesian prediction bounds for future order statistics based on progressively type-II censored informative samples obtained from constant-partially  ...  The constant-partially accelerated life tests are applied based on progressively type-II censored samples.  ...  [20] discussed the Bayesian approach to estimate the parameters of Weibull distribution in step-stress PALT with censoring.  ... 
doi:10.4236/ojs.2017.72024 fatcat:trhb3qdg65c5fjyneowtq7tjry

Bayesian and Non–Bayesian Estimation for Two Generalized Exponential Populations Under Joint Type II Censored Scheme

Samir Kamel Ashour, Osama Eraki Abo-Kasem
2014 Pakistan Journal of Statistics and Operation Research  
In this paper, Bayesian and non-Bayesian estimators have been obtained for two generalized exponential populations under joint type II censored scheme, which generalize results of Balakrishnan and Rasouli  ...  Also the MLE and three confidence intervals for the stress-strength parameter () R P Y X  are explored. A numerical illustration for these new results is given.  ...  Shafay et al. (2013) derived the Bayesian inference for the unknown parameters of two exponential populations under joint type II censoring they developed with the use of squared-error, linear-exponential  ... 
doi:10.18187/pjsor.v10i1.710 fatcat:mdcdvcx2zvhvfjnnu6p4uxgsgq

Assessing the Lifetime Performance Index Using Exponentiated Frechet Distribution with the Progressive First-Failure-Censoring Scheme

Ahmed Abo-Elmagd Soliman
2014 American Journal of Theoretical and Applied Statistics  
This study constructs the maximum likelihood (ML) and the Bayesian estimators of C for the exponentiated Frechet (EF) model with progressive first-failure-censoring scheme.  ...  These estimates are then used for constructing a confidence interval for C .  ...  For a type II right censored sample with a two-parameter exponential distribution, Wu et al.  ... 
doi:10.11648/j.ajtas.20140306.11 fatcat:ok7ynskmobfrfbsgmleqfnkpta

A review on recent generalizations of exponential distribution

Lishamol Tomy, Manju Jose, Veena G
2020 Biometrics & Biostatistics International Journal  
Relations are derived under a squared error loss function, type-II censoring and a conjugate prior.  ...  Review on Exponential generalizations Pogany 9 employed, E-Bayesian, for estimating the parametric functions of the generalized inverted Exponential (G-IE) distribution.  ...  To construct prediction intervals for future two-parameter exponential lifetimes based on a random number of generalized order statistics under a general set-up including progressive type II censored order  ... 
doi:10.15406/bbij.2020.09.00313 fatcat:mieecm2a2fc2bhxhgomdp6zugu

Classical and Bayesian Inference of a Progressive-Stress Model for the Nadarajah–Haghighi Distribution with Type II Progressive Censoring and Different Loss Functions

Refah Alotaibi, Faten S. Alamri, Ehab M. Almetwally, Min Wang, Hoda Rezk
2022 Mathematics  
This study investigated progressive-stress ALT with progressive type II filtering with the lifetime of test units following a Nadarajah–Haghighi (NH) distribution.  ...  The maximum likelihood estimates and estimated confidence intervals for the model parameters were obtained first.  ...  (MLEs) for the parameters a, b, and θ under the progressive-stress ALT based on progressively type II censored data.  ... 
doi:10.3390/math10091602 fatcat:voc4co7a75ct3lmkdltgbpagi4
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