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Updated: Sep 8, 2025

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
An extended poisson family of life distribution: a unified approach in competitive and complementary risks
Pedro L Ramos1,2, Dipak K Dey2, Francisco Louzada1
1Institute of Mathematical Science and Computing, University of São Paulo, São Carlos, Brazil.
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.
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