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Berred A, Stepanov A. Asymptotic properties of lower exponential spacings under Type-II progressive censoring. COMMUN STAT-THEOR M 2022. [DOI: 10.1080/03610926.2020.1824276] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Alexandre Berred
- UFR des Sciences et Techniques, Université du Havre Normandie, Le Havre Cedex, France
| | - Alexei Stepanov
- Institute of Physics, Mathematics and Information Technology, Immanuel Kant Baltic Federal University, Kaliningrad, Russia
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Kotb MS, Ahsanullah M. On characterizations of continuous distributions via regression functions of generalized order statistics. JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS 2019. [DOI: 10.1080/09720510.2018.1488413] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- M. S. Kotb
- Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt
- Department of Mathematics, Faculty of Sciences and Arts-Almikwah, Al Baha University, Al Bahah, Saudi Arabia
| | - M. Ahsanullah
- Department of Management Sciences, Rider University, Lawrenceville NJ 08648-3009, U.S.A
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Affiliation(s)
- Guoxin Qiu
- Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei, China
- Department of Business Administration, School of Business, Xinhua University of Anhui, Hefei, China
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Abu Awwad RR, Bdair OM, Abufoudeh GK. One- and two-sample prediction for the progressively censored Rayleigh residual data. JOURNAL OF STATISTICAL THEORY AND PRACTICE 2018. [DOI: 10.1080/15598608.2018.1450796] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- Raed R. Abu Awwad
- Department of Mathematics, Faculty of Arts and Sciences, University of Petra, Amman, Jordan
| | - Omar M. Bdair
- Department of Physics and Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University, Amman, Jordan
| | - Ghassan K. Abufoudeh
- Department of Mathematics, Faculty of Arts and Sciences, University of Petra, Amman, Jordan
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Exact Inference for a New Flexible Hybrid Censoring Scheme. JOURNAL OF THE INDIAN SOCIETY FOR PROBABILITY AND STATISTICS 2018. [DOI: 10.1007/s41096-018-0039-y] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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Ghafouri S, Rad AH, Yousefzadeh F. Two-sample prediction for progressively Type-II censored Weibull lifetimes. COMMUN STAT-SIMUL C 2016. [DOI: 10.1080/03610918.2014.1002848] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Affiliation(s)
- S. Ghafouri
- Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
| | - A. Habibi Rad
- Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
| | - F. Yousefzadeh
- Department of Statistics, School of Mathematical Sciences, University of Birjand, Birjand, Iran
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Górny J, Cramer E. Exact likelihood inference for exponential distributions under generalized progressive hybrid censoring schemes. ACTA ACUST UNITED AC 2016. [DOI: 10.1016/j.stamet.2015.10.003] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Abstract
Sequential order statistics can be used to describe the ordered lifetimes of components in a system, where the failure of a component may affect the performance of remaining components. In this paper mixture representations of the residual lifetime and the inactivity time of systems with such failure-dependent components are considered. Stochastic comparisons of differently structured systems are obtained and properties of the weights in the mixture representations are examined. Furthermore, corresponding representations of the residual lifetime and the inactivity time of a system given the additional information about a previous failure time are derived.
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Cramer E, Burkschat M, Górny J. On the exact distribution of the MLEs based on Type-II progressively hybrid censored data from exponential distributions. J STAT COMPUT SIM 2015. [DOI: 10.1080/00949655.2015.1099657] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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11
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Raqab MZ. Bounds on the mean residual lifetime of progressive type II right censored order statistics. JOURNAL OF STATISTICAL DISTRIBUTIONS AND APPLICATIONS 2014. [DOI: 10.1186/s40488-014-0021-5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Singh SK, Singh U, Kumar M. Bayesian Estimation for Poisson-exponential Model under Progressive Type-II Censoring Data with Binomial Removal and Its Application to Ovarian Cancer Data. COMMUN STAT-SIMUL C 2014. [DOI: 10.1080/03610918.2014.948189] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Sanjay Kumar Singh
- Department of Statistics and Department of Science and Technology, Centre of Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India
| | - Umesh Singh
- Department of Statistics and Department of Science and Technology, Centre of Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India
| | - Manoj Kumar
- Department of Statistics and Department of Science and Technology, Centre of Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi, India
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Berred A, Stepanov A. Asymptotic properties of the number of near minimum-concomitant observations in the case of progressive type-II censoring. METRIKA 2014. [DOI: 10.1007/s00184-014-0502-z] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Burkschat M, Navarro J. Dynamic Signatures of Coherent Systems Based on Sequential Order Statistics. J Appl Probab 2013. [DOI: 10.1239/jap/1363784438] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Sequential order statistics can be used to describe the ordered lifetimes of components in a system, where the failure of a component may affect the performance of remaining components. In this paper mixture representations of the residual lifetime and the inactivity time of systems with such failure-dependent components are considered. Stochastic comparisons of differently structured systems are obtained and properties of the weights in the mixture representations are examined. Furthermore, corresponding representations of the residual lifetime and the inactivity time of a system given the additional information about a previous failure time are derived.
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Abdel-Hamid AH, AL-Hussaini EK. Bayesian prediction for type-II progressive-censored data from the Rayleigh distribution under progressive-stress model. J STAT COMPUT SIM 2012. [DOI: 10.1080/00949655.2012.741132] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Dahmen K, Burkschat M, Cramer E. A- and D-optimal progressive Type-II censoring designs based on Fisher information. J STAT COMPUT SIM 2012. [DOI: 10.1080/00949655.2011.560118] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Hashemi M, Tavangar M, Asadi M. Some properties of the residual lifetime of progressively Type-II right censored order statistics. Stat Probab Lett 2010. [DOI: 10.1016/j.spl.2010.01.019] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Exact two-sample nonparametric confidence, prediction, and tolerance intervals based on ordinary and progressively type-II right censored data. TEST-SPAIN 2008. [DOI: 10.1007/s11749-008-0133-7] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Bieniek M. Projection bounds on expectations of generalized order statistics from DD and DDA families. J Stat Plan Inference 2008. [DOI: 10.1016/j.jspi.2007.03.055] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Balakrishnan N, Stepanov A. Asymptotic properties of numbers of near minimum observations under progressive Type-II censoring. J Stat Plan Inference 2008. [DOI: 10.1016/j.jspi.2007.05.029] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Comments on: Progressive censoring methodology: an appraisal. TEST-SPAIN 2007. [DOI: 10.1007/s11749-007-0066-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Balakrishnan N, Rychlik T. Evaluating expectations of L-statistics by the Steffensen inequality. METRIKA 2006. [DOI: 10.1007/s00184-005-0026-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Balakrishnan N, Cramer E, Kamps U. Relation for joint densities of progressively censored order statistics. STATISTICS-ABINGDON 2005. [DOI: 10.1080/02331880500366050] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Mousa MAMA, Al-Sagheer SA. Bayesian Prediction for Progressively Type-II Censored Data from the Rayleigh Model. COMMUN STAT-THEOR M 2005. [DOI: 10.1080/03610920500313767] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Kaluszka M, Okolewski A. Sharp Bounds for Generalized Order Statistics via Logarithmic Moments. COMMUN STAT-THEOR M 2005. [DOI: 10.1080/03610920500200790] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Cramer E, Kamps U, Rychlik T. Unimodality of uniform generalized order statistics, with applications to mean bounds. ANN I STAT MATH 2004. [DOI: 10.1007/bf02530531] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Maswadah M. Conditional confidence interval estimation for the inverse weibull distribution based on censored generalized order statistics. J STAT COMPUT SIM 2003. [DOI: 10.1080/0094965031000099140] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Balakrishnan N, Cramer E, Kamps U, Schenk N. Progressive type II censored order statistics from exponential distributions. STATISTICS-ABINGDON 2001. [DOI: 10.1080/02331880108802753] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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