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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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Characterization and Goodness-of-Fit Test of Pareto and Some Related Distributions Based on Near-Order Statistics. JOURNAL OF PROBABILITY AND STATISTICS 2020. [DOI: 10.1155/2020/4262574] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
In this paper, a new definition of the number of observations near the kth order statistics is developed. Then some characterization results for Pareto and some related distributions are established in terms of mass probability function, first moment of these new counting random variables, and using completeness properties of the sequence of functions xn,0<x<1,n≥1. Finally, new goodness-of-fit tests based on these new characterizations for Pareto distribution are presented. And the power values of the proposed tests are compared with the power values of well-known tests such as Kolmogorov–Smirnov and Cramer-von Mises tests by Monte Carlo simulations.
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Dembińska A, Akbari M, Ahmadi J. On numbers of observations in random regions determined by records. STATISTICS-ABINGDON 2020. [DOI: 10.1080/02331888.2020.1786091] [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)
- Anna Dembińska
- Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland
| | - Masoumeh Akbari
- Department of Statistics, University of Mazandaran, Babolsar, Iran
| | - Jafar Ahmadi
- Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
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Rezapour M, Alamatsaz MH, Balakrishnan N. Distribution of the Number of Observations Greater Than the ith Dependent Progressively Type-II Censored Order Statistic and Its Use in Goodness-of-fit Testing. COMMUN STAT-THEOR M 2015. [DOI: 10.1080/03610926.2015.1043796] [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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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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Bairamov I, Stepanov A. Number of observations near the maximum in an Fα-scheme. STATISTICS-ABINGDON 2013. [DOI: 10.1080/02331888.2011.605887] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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