Discrete Odd Inverse Pareto Exponential Distribution: Properties, Estimation and Applications

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Published: Sep 27, 2023
DOI: https://doi.org/10.60101/past.2023.250004
Keywords:
Discrete Odd Inverse Pareto Exponential Distribution Discrete Lifetime Distribution Quantile Function Maximum Likelihood Estimation Count Data

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Pornpop Saengthong
Institute for Research and Academic Services, Assumption University
Palakorn Seenoi
Department of Statistics, Faculty of Science, Khon Kaen University

Abstract

In this paper, a new discrete distribution named as the discrete odd inverse Pareto exponential (DOIPEx) distribution is introduced for modeling count data. The proposed distribution can be viewed as a generalization of the discrete Marshall-Olkin exponential, discrete exponentiate exponential, and discrete exponential distributions. Some basic distributional properties, quantile function, hazard and reversed hazard functions, and order statistics are derived. Estimation of the parameters is illustrated using the maximum likelihood method (MLE), and three real data sets are discussed to demonstrate the usefulness and applicability of the DOIPEx distribution.

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How to Cite
1.
Saengthong P, Seenoi P. Discrete Odd Inverse Pareto Exponential Distribution: Properties, Estimation and Applications. Prog Appl Sci Tech. [Internet]. 2023 Sep. 27 [cited 2024 Nov. 15];13(3):1-12. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/250004
Issue
Vol. 13 No. 3 (2023): September - December 2023
Section
Mathematics and Applied Statistics
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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