Zero-Truncated Poisson-Power Function Distribution

Idika Eke Okorie; Anthony Chukwudi Akpanta; Johnson Ohakwe; David Chidi Chikezie; Chris Uche Onyemachi; Manoj Kumar Rastogi

doi:10.1007/s40745-019-00201-y

Zero-Truncated Poisson-Power Function Distribution

Idika Eke Okorie
, Anthony Chukwudi Akpanta
, Johnson Ohakwe
, David Chidi Chikezie
, Chris Uche Onyemachi
, Manoj Kumar Rastogi

Mathematics

Abia State University
Federal University, Otuoke
National Institute of Pharmaceutical Education and Research, Hajipur

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

A three-parameter distribution with increasing, bathtub, and upside-down bathtub hazard rate characteristics is introduced. Various properties are discussed and nicely expressed in closed forms and the estimation of parameters is studied by the method of maximum likelihood. Numerical examples based on two real data-sets are presented.

Original language	British English
Pages (from-to)	107-129
Number of pages	23
Journal	Annals of Data Science
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/s40745-019-00201-y
State	Published - Mar 2021

Keywords

Hazard rate
Maximum likelihood
Power function
Zero-truncated Poisson

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10.1007/s40745-019-00201-y

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title = "Zero-Truncated Poisson-Power Function Distribution",

abstract = "A three-parameter distribution with increasing, bathtub, and upside-down bathtub hazard rate characteristics is introduced. Various properties are discussed and nicely expressed in closed forms and the estimation of parameters is studied by the method of maximum likelihood. Numerical examples based on two real data-sets are presented.",

keywords = "Hazard rate, Maximum likelihood, Power function, Zero-truncated Poisson",

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note = "Funding Information: The authors would like to thank the referees and the Editor for their careful reading and comments which greatly improved the paper. Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

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AU - Onyemachi, Chris Uche

AU - Rastogi, Manoj Kumar

N1 - Funding Information: The authors would like to thank the referees and the Editor for their careful reading and comments which greatly improved the paper. Publisher Copyright: © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.

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KW - Hazard rate

KW - Maximum likelihood

KW - Power function

KW - Zero-truncated Poisson

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Zero-Truncated Poisson-Power Function Distribution

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Keywords

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