Advances and Applications in Statistics

The Advances and Applications in Statistics is an internationally recognized journal indexed in the Emerging Sources Citation Index (ESCI). It provides a platform for original research papers and survey articles in all areas of statistics, both computational and experimental in nature.

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TWO SIDED DISCRETE GENERALIZED EXPONENTIAL DISTRIBUTION

Authors

  • Simi Sebastian
  • Binumon Joseph

Keywords:

discrete generalized exponential distribution, discrete Laplace distribution, INARZ(1) model, maximum likelihood estimation, Pegram’s mixing operator, two sided discrete generalized exponential distribution

DOI:

https://doi.org/10.17654/0972361724056

Abstract

The discrete generalized exponential distribution, introduced by Nekoukhou et al. [10], is considered. A two sided discrete generalized exponential distribution is developed, and its various distributional properties are studied. This distribution is a generalization of discrete Laplace distribution introduced by Kozubowski and Inusah [7]. Estimation of the parameters of the new model is obtained using maximum likelihood method. Relevance of the model is established by fitting to a real data set. An integer valued autoregressive model is developed using Pegram’s mixing operator.

Received: March 18, 2024
Revised: May 28, 2024
Accepted: June 17, 2024

References

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Published

28-06-2024

Issue

Section

Articles

How to Cite

TWO SIDED DISCRETE GENERALIZED EXPONENTIAL DISTRIBUTION. (2024). Advances and Applications in Statistics , 91(8), 1055-1071. https://doi.org/10.17654/0972361724056

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