On the Beta-G Poisson Family
Autor: | Alfred Akinsete, Sher B. Chhetri, Hongwei Long, Gokarna Aryal |
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Rok vydání: | 2018 |
Předmět: |
Estimation theory
BETA (programming language) 020209 energy Order statistic Mathematical properties 02 engineering and technology Poisson distribution 01 natural sciences Computer Science Applications 010104 statistics & probability symbols.namesake Artificial Intelligence 0202 electrical engineering electronic engineering information engineering symbols Business Management and Accounting (miscellaneous) Applied mathematics 0101 mathematics Statistics Probability and Uncertainty computer Beta distribution computer.programming_language Mathematics Quantile |
Zdroj: | Annals of Data Science. 6:361-389 |
ISSN: | 2198-5812 2198-5804 |
DOI: | 10.1007/s40745-018-0176-x |
Popis: | In this article, we propose and study a new family of distributions which is defined by using the genesis of the truncated Poisson distribution and the beta distribution. Some mathematical properties of the new family including moments, quantile and generating functions, mean deviations, order statistics and their moments, and reliability analysis are discussed. We also discuss the parameter estimation procedures and potential applications of such generalized family of distributions. |
Databáze: | OpenAIRE |
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