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Characterization and Goodness-of-Fit Test of Pareto and Some Related Distributions Based on Near-Order Statistics
Author
Source
Journal of Probability and Statistics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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 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.
American Psychological Association (APA)
Akbari, Masoumeh. 2020. Characterization and Goodness-of-Fit Test of Pareto and Some Related Distributions Based on Near-Order Statistics. Journal of Probability and Statistics،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1190173
Modern Language Association (MLA)
Akbari, Masoumeh. Characterization and Goodness-of-Fit Test of Pareto and Some Related Distributions Based on Near-Order Statistics. Journal of Probability and Statistics No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1190173
American Medical Association (AMA)
Akbari, Masoumeh. Characterization and Goodness-of-Fit Test of Pareto and Some Related Distributions Based on Near-Order Statistics. Journal of Probability and Statistics. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1190173
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190173