10.1007/s40096-021-00391-8

A new modified exponential-geometric distribution: properties and applications

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  • AhmadReza Zanboori1,
  • Karim Zare*1,
  • Zahra Khodadadi1,
  1. Department of Statistics, Marvdasht Branch, Islamic Azad University, Marvdasht, IR

Published in Issue 2021-03-29

How to Cite

Zanboori, A., Zare, K., & Khodadadi, Z. (2021). A new modified exponential-geometric distribution: properties and applications. Mathematical Sciences, 15(4 (December 2021). https://doi.org/10.1007/s40096-021-00391-8
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Abstract

Abstract This paper provides a new three-parameter lifetime distribution with increasing and decreasing hazard function. The various statistical properties of the proposed distribution are also discussed. The maximum likelihood method is used for estimating the unknown parameters, and its performance is assessed using Monte-Carlo simulation. Finally, three real data sets are applied to illustrate the application of the proposed distribution.

Keywords

  • Exponential distribution,
  • Hazard function,
  • Lifetime,
  • Monte-Carlo simulation,
  • New modified exponential-geometric distribution

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