Volume 19, Issue 2, June 2020, Pages 274 - 285
The Exponentiated Poisson-Exponential Distribution: A Distribution with Increasing, Decreasing and Bathtub Failure Rate
Authors
Francisco Louzada1, *, Vicente G. Cancho1, Paulo H. Ferreira2
1ICMC, Universidade de São Paulo São Carlos, São Paulo, Brazil
2DEst, Universidade Federal da Bahia Salvador, Bahia, Brazil
*Corresponding author. Email: louzada@icmc.usp.br
Corresponding Author
Francisco Louzada
Received 26 March 2019, Accepted 25 April 2020, Available Online 15 June 2020.
- DOI
- 10.2991/jsta.d.200512.002How to use a DOI?
- Keywords
- Complementary risks; Exponentiated distributions; Maximum likelihood estimation; Poisson-Exponential distribution; Reliability and survival analysis
- Abstract
In this paper we propose a new three-parameters lifetime distribution with increasing, decreasing and bathtub failure rate depending on its parameters. The properties of the proposed distribution are discussed, including explicit algebraic formulae for its reliability and failure rate functions, quantiles and moments. A simulation study is performed in order to verify the behavior of the maximum likelihood estimates. The methodology is illustrated on a real data set.
- Copyright
- © 2020 The Authors. Published by Atlantis Press SARL.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Francisco Louzada AU - Vicente G. Cancho AU - Paulo H. Ferreira PY - 2020 DA - 2020/06/15 TI - The Exponentiated Poisson-Exponential Distribution: A Distribution with Increasing, Decreasing and Bathtub Failure Rate JO - Journal of Statistical Theory and Applications SP - 274 EP - 285 VL - 19 IS - 2 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.200512.002 DO - 10.2991/jsta.d.200512.002 ID - Louzada2020 ER -