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Abushal T, Soliman A, Abd-Elmougod G. Inference of partially observed causes for failure of Lomax competing risks model under type-II generalized hybrid censoring scheme. ALEXANDRIA ENGINEERING JOURNAL 2022; 61:5427-5439. [DOI: 10.1016/j.aej.2021.10.058] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/02/2023]
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2
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Burr XII Distribution for Disease Data Analysis in the Presence of a Partially Observed Failure Mode. Symmetry (Basel) 2022. [DOI: 10.3390/sym14071298] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Abstract
Modeling competing failure modes is an important problem in engineering and survival analyses. Competing failure modes are partially observed in many applications and often pose a modeling challenge. This study discusses the inference for partially observed failure modes assuming a Burr XII distribution. In particular, we consider two failure modes, and the failure time data are collected under a hybrid type I censoring scheme. The model parameters are estimated using maximum likelihood and Bayesian methods under a symmetric squared error loss function, whereas the intervals estimation is done with three methods: asymptotic and credible confidence intervals. Besides a simulation study, a real-life data set is taken from individuals who live in an environment with several diseases to present the utility of the work. Additionally, a simulation study is constructed to measure and compare different estimation methods.
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Çetinkaya Ç, Sultana F, Kundu D. Exact likelihood inference for two exponential populations under jointly generalized progressive hybrid censoring. J STAT COMPUT SIM 2022. [DOI: 10.1080/00949655.2022.2075873] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Çagatay Çetinkaya
- Department of Accounting and Taxation, Bingöl University, Bingöl, Turkey
| | - Farha Sultana
- Department of Science and Mathematics, Indian Institute of Information Technology Guwahati, Guwahati, India
| | - Debasis Kundu
- Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India
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Wang L, Lio Y, Tripathi YM, Dey S, Zhang F. Inference of dependent left-truncated and right-censored competing risks data from a general bivariate class of inverse exponentiated distributions. STATISTICS-ABINGDON 2022. [DOI: 10.1080/02331888.2022.2047680] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Liang Wang
- School of Mathematics, Yunnan Normal University, Kunming, People's Republic of China
| | - Yuhlong Lio
- Department of Mathematical Sciences, University of South Dakota, Vermillion, SD, USA
| | | | - Sanku Dey
- Department of Statistics, St. Anthony's College, Shillong, India
| | - Fode Zhang
- Center of Statistical Research, School of Statistics, Southwestern University of Finance and Economics, Chengdu, People's Republic of China
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Sultana F, Koley A, Pal A, Kundu D. On two exponential populations under a joint adaptive type-II progressive censoring. STATISTICS-ABINGDON 2022. [DOI: 10.1080/02331888.2021.2024543] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Farha Sultana
- Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India
| | - Arnab Koley
- Operations Management and Quantitative Techniques, Indian Institute of Management Indore, Indore, India
| | - Ayan Pal
- Department of Statistics, The University of Burdwan, Burdwan, India
| | - Debasis Kundu
- Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India
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Wang K, Gui W. Statistical inference of generalized progressive hybrid censored step-stress accelerated dependent competing risks model for Marshall-Olkin bivariate Weibull distribution. STATISTICS-ABINGDON 2021. [DOI: 10.1080/02331888.2021.1998055] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Kexin Wang
- Department of Mathematics, Beijing Jiaotong University, Beijing, People's Republic of China
| | - Wenhao Gui
- Department of Mathematics, Beijing Jiaotong University, Beijing, People's Republic of China
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7
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On Progressive Censored Competing Risks Data: Real Data Application and Simulation Study. MATHEMATICS 2021. [DOI: 10.3390/math9151805] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Competing risks are frequently overlooked, and the event of interest is analyzed with conventional statistical techniques. In this article, we consider the analysis of bi-causes of failure in the context of competing risk models using the extension of the exponential distribution under progressive Type-II censoring. Maximum likelihood estimates for the unknown parameters via the expectation-maximization algorithm are obtained. Moreover, the Bayes estimates of the unknown parameters are approximated using Tierney-Kadane and MCMC techniques. Interval estimates using Bayesian and classical techniques are also considered. Two real data sets are investigated to illustrate the different estimation methods, and to compare the suggested model with Weibull distribution. Furthermore, the estimation methods are compared through a comprehensive simulation study.
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Panahi H, Asadi P. Estimating the parameters of a generalized inverted exponential distribution based on adaptive type II hybrid progressive censoring with application. JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS 2021. [DOI: 10.1080/09720510.2021.1892259] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Hanieh Panahi
- Department of Mathematics and Statistics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
| | - Pourya Asadi
- Department of Computer Engineering, Faculty of Engineering, University of Guilan, Rasht, Iran
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Lodhi C, Tripathi YM, Wang L. Inference for a general family of inverted exponentiated distributions with partially observed competing risks under generalized progressive hybrid censoring. J STAT COMPUT SIM 2021. [DOI: 10.1080/00949655.2021.1901290] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Chandrakant Lodhi
- neurIOT Technologies LPP, CoWorks, Golf, Course, Gurugram, Patna, India
| | | | - Liang Wang
- School of Mathematics, Yunnan Normal University, Kunming, People's Republic of China
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10
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Liu S, Gui W. Statistical inference for bathtub-shaped distribution based on generalized progressive hybrid censored data. COMMUN STAT-THEOR M 2021. [DOI: 10.1080/03610926.2021.1889602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Shuhan Liu
- Department of Mathematics, Beijing Jiaotong University, Beijing, China
| | - Wenhao Gui
- Department of Mathematics, Beijing Jiaotong University, Beijing, China
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Çetinkaya Ç. Reliability estimation of a stress-strength model with non-identical component strengths under generalized progressive hybrid censoring scheme. STATISTICS-ABINGDON 2021. [DOI: 10.1080/02331888.2021.1890739] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Çağatay Çetinkaya
- Department of Business Administration, Faculty of Economics & Administrative Sciences Bingöl University, Bingöl, Turkey
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12
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Mahto AK, Lodhi C, Tripathi YM, Wang L. Inference for partially observed competing risks model for Kumaraswamy distribution under generalized progressive hybrid censoring. J Appl Stat 2021; 49:2064-2092. [DOI: 10.1080/02664763.2021.1889999] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
| | | | | | - Liang Wang
- School of Mathematics, Yunnan Normal University, Kunming, People's Republic of China
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Lodhi C, Tripathi YM, Bhattacharya R. On a progressively censored competing risks data from Gompertz distribution. COMMUN STAT-SIMUL C 2021. [DOI: 10.1080/03610918.2021.1879141] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- Chandrakant Lodhi
- Department of Mathematics, Indian Institute of Technology Patna, Bihta, India
| | | | - Ritwik Bhattacharya
- Department of Industrial Engineering, School of Engineering and Sciences, Tecnológico de Monterrey, Querétaro, México
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14
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Koley A, Kundu D. Analysis of progressive Type‐II censoring in presence of competing risk data under step stress modeling. STAT NEERL 2020. [DOI: 10.1111/stan.12226] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Affiliation(s)
- Arnab Koley
- Operations Management and Quantitative Techniques Indian Institute of Management Indore Indore India
| | - Debasis Kundu
- Department of Mathematics and Statistics Indian Institute of Technology Kanpur Kanpur India
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Wang L, Li H. Inference for exponential competing risks data under generalized progressive hybrid censoring. COMMUN STAT-SIMUL C 2019. [DOI: 10.1080/03610918.2019.1667388] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Liang Wang
- School of Mathematics, Yunnan Normal University, Kunming, P.R. China
- School of Mathematics and Statistics, Xidian University, Xi’an, P.R. China
| | - Huanyu Li
- School of Mathematics and Statistics, Xidian University, Xi’an, P.R. China
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