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August 2021 Geometric generated family of distributions: A review
Teena Goyal, Sandeep Kumar Maurya, Saralees Nadarajah
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Braz. J. Probab. Stat. 35(3): 442-465 (August 2021). DOI: 10.1214/20-BJPS485

Abstract

The present article represents a review of the geometric generated family of distributions. Based on this family of distribution, several distributions are proposed. The family can be proposed by using the compounding concept of zero truncated geometric distribution with any other model or family of distributions. Here, we provide a complete survey on this family of distributions and also listed the contributory related research work, their sub-models, hazard rates, and utilized real datasets. We also address 10 power series distributions, 60 distributions based on the geometric family of distribution. These numbers show the importance of the geometric family of distribution.

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Teena Goyal. Sandeep Kumar Maurya. Saralees Nadarajah. "Geometric generated family of distributions: A review." Braz. J. Probab. Stat. 35 (3) 442 - 465, August 2021. https://doi.org/10.1214/20-BJPS485

Information

Received: 1 June 2020; Accepted: 1 August 2020; Published: August 2021
First available in Project Euclid: 22 July 2021

Digital Object Identifier: 10.1214/20-BJPS485

Rights: Copyright © 2021 Brazilian Statistical Association

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Vol.35 • No. 3 • August 2021
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