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Gul A, Sandhu AJ, Farooq M, Adil M, Hassan Y, Khan F. Half logistic-truncated exponential distribution: Characteristics and applications. PLoS One 2023; 18:e0285992. [PMID: 37963157 PMCID: PMC10645298 DOI: 10.1371/journal.pone.0285992] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2022] [Accepted: 05/07/2023] [Indexed: 11/16/2023] Open
Abstract
Gul and Mohsin 2021 developed a new modified form of renowned "Half logistic" distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). Some mathematical characteristics are studied, including hazard function, Pth percentile, moment generating function and Shannon entropy. Simulation study is performed to examine the behaviour of parameter estimates. The proposed model is fitted on three real data sets to check its efficacy. Additionally, TTT (total time on test) plot is drawn to study the failure rate of the three data sets. The results verdict that HL-TEXPD can be efficiently utilized in the field of engineering and medical sciences based on the data sets under study contrary to the classical and baseline models.
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Affiliation(s)
- Ahtasham Gul
- Pakistan Bureau of Statistics, Islamabad, Pakistan
- Department of Statistics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan
| | | | - Muhammad Farooq
- Department of Statistics, COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan
| | | | - Yasir Hassan
- Lahore Business School, The University of Lahore, Lahore, Pakistan
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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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Al-Zahrani B, AL-Zaydi AM. Relations for moments of progressively Type-II censored order statistics from the exponential-geometric distribution and associated inference. COMMUN STAT-SIMUL C 2021. [DOI: 10.1080/03610918.2021.1898640] [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)
- Bander Al-Zahrani
- Department of Statistics, King Abdulaziz University, Jeddah, Saudi Arabia
| | - Areej M. AL-Zaydi
- Department of Mathematics and Statistics, Taif University, Taif, Saudi Arabia
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Laumen B, Cramer E. Stage life testing with random stage changing times. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2020.1805764] [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)
- Benjamin Laumen
- Department of Mathematics, Institute of Statistics, RWTH Aachen University, Aachen, Germany
| | - Erhard Cramer
- Department of Mathematics, Institute of Statistics, RWTH Aachen University, Aachen, Germany
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Mani Tripathi Y, Petropoulos C, Sen T. Quantile estimation for a progressively censored exponential distribution. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2019.1593456] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Yogesh Mani Tripathi
- Department of Mathematics, Indian Institute of Technology Patna, Bihta, Bihar, India
| | | | - Tanmay Sen
- Department of Mathematics, Indian Institute of Technology Patna, Bihta, Bihar, India
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Hermanns M, Cramer E, Ng HKT. EM algorithms for ordered and censored system lifetime data under a proportional hazard rate model. J STAT COMPUT SIM 2020. [DOI: 10.1080/00949655.2020.1800706] [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)
- M. Hermanns
- Institute of Statistics, RWTH Aachen University, Aachen, Germany
| | - E. Cramer
- Institute of Statistics, RWTH Aachen University, Aachen, Germany
| | - H. K. T. Ng
- Department of Statistical Science, Southern Methodist University, Dallas, TX, USA
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Cramer E, Górny J, Laumen B. Multi-sample progressive Type-I censoring of exponentially distributed lifetimes. COMMUN STAT-THEOR M 2020. [DOI: 10.1080/03610926.2020.1728328] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Affiliation(s)
- Erhard Cramer
- Institute of Statistics, RWTH Aachen University, Aachen, Germany
| | - Julian Górny
- Institute of Statistics, RWTH Aachen University, Aachen, Germany
| | - Benjamin Laumen
- Institute of Statistics, RWTH Aachen University, Aachen, Germany
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Döring M, Cramer E. On the power of goodness-of-fit tests for the exponential distribution under progressive Type-II censoring. J STAT COMPUT SIM 2019. [DOI: 10.1080/00949655.2019.1648468] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Max Döring
- Institute of Statistics, RWTH Aachen University, Aachen, Germany
| | - Erhard Cramer
- Institute of Statistics, RWTH Aachen University, Aachen, Germany
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Ahmadi MV, Doostparast M, Ahmadi J. Block censoring scheme with two-parameter exponential distribution. J STAT COMPUT SIM 2018. [DOI: 10.1080/00949655.2018.1426763] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
Affiliation(s)
- Mohammad Vali Ahmadi
- Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
- Present address: Department of Statistics, University of Bojnord, PO Box 94531-1339 Bojnord, Iran
| | - Mahdi Doostparast
- Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
| | - Jafar Ahmadi
- Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
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Rezapour M. Progressively Type-II censored conditionally N-ordered statistics from a unified elliptically contoured copula. COMMUN STAT-THEOR M 2017. [DOI: 10.1080/03610926.2015.1107584] [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)
- Mohsen Rezapour
- Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
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Hermanns M, Cramer E. Likelihood inference for the component lifetime distribution based on progressively censored parallel systems data. J STAT COMPUT SIM 2016. [DOI: 10.1080/00949655.2016.1222392] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Amirzadeh V, Rezapour M. On properties of progressively Type-II censored conditionally N-ordered statistics arising from a non-identical and dependent random vector. J STAT COMPUT SIM 2016. [DOI: 10.1080/00949655.2015.1085536] [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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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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Athar H, Akhter Z. Recurrence relations between moments of progressive type-II right censored order statistics from doubly truncated Weibull distribution. Stat Pap (Berl) 2015. [DOI: 10.1007/s00362-015-0658-2] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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AL-Hussaini EK, Abdel-Hamid AH, Hashem AF. One-sample Bayesian prediction intervals based on progressively type-II censored data from the half-logistic distribution under progressive stress model. METRIKA 2015. [DOI: 10.1007/s00184-014-0526-4] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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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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Volterman W, Balakrishnan N. Exact nonparametric confidence, prediction and tolerance intervals based on multi-sample Type-II right censored data. J Stat Plan Inference 2010. [DOI: 10.1016/j.jspi.2010.04.055] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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A note on the equivariant estimation of an exponential scale using progressively censored data. J Stat Plan Inference 2010. [DOI: 10.1016/j.jspi.2009.12.006] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Burkschat M. Linear Estimators and Predictors Based on Generalized Order Statistics from Generalized Pareto Distributions. COMMUN STAT-THEOR M 2009. [DOI: 10.1080/03610920902746630] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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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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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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Fernández AJ. Progressively censored variables sampling plans for two-parameter exponential distributions. J Appl Stat 2006. [DOI: 10.1080/02664760500080074] [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]
Affiliation(s)
- Arturo J. Fernández
- a Departamento de Estadística e Investigación Operativa , Universidad de La Laguna , La Laguna, Spain
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Guilbaud O. Exact Non-Parametric Confidence, Prediction and Tolerance Intervals with Progressive Type-II Censoring. Scand Stat Theory Appl 2004. [DOI: 10.1111/j.1467-9469.2004.02-119.x] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Chandrasekar B, Leo Alexander T, Balakrishnan N. EQUIVARIANT ESTIMATION FOR PARAMETERS OF EXPONENTIAL DISTRIBUTIONS BASED ON TYPE-II PROGRESSIVELY CENSORED SAMPLES. COMMUN STAT-THEOR M 2002. [DOI: 10.1081/sta-120014907] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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Balakrishnan N, Cramer E, Kamps U. Bounds for means and variances of progressive type II censored order statistics. Stat Probab Lett 2001. [DOI: 10.1016/s0167-7152(01)00104-3] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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