An extended poisson family of life distribution: a unified approach in competitive and complementary risks

Author(s)

Ramos, Pedro L. ^{[1, 2]} ; Dey, Dipak K. ^[1] ; Louzada, Francisco ^[2] ; Lachos, Victor H. ^[1]

Affiliation

^[1] Univ Connecticut, Dept Stat, Storrs, CT 06269 - USA

^[2] Univ Sao Paulo, Inst Math Sci & Comp, Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Journal of Applied Statistics; v. 47, n. 2 JULY 2019.
• Web of Science Citations: 1

Abstract

In this paper, we introduce a new approach to generate flexible parametric families of distributions. These models arise on competitive and complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the minimum/maximum lifetime value among all risks. The latent variables have a zero-truncated Poisson distribution. For the proposed family of distribution, the extra shape parameter has an important physical interpretation in the competing and complementary risks scenario. The mathematical properties and inferential procedures are discussed. The proposed approach is applied in some existing distributions in which it is fully illustrated by an important data set. (AU)

• FAPESP's process: 17/25971-0 - Statistical inference of complex systems
• Grantee: Pedro Luiz Ramos
• Support Opportunities: Scholarships in Brazil - Post-Doctoral