The complementary exponential power lifetime model

Authors:
Gladys D. C. Barriga;Franscisco Louzada-Neto;Vicente G. Cancho
Affiliations:
FEB-Universidade Estadual Paulista, Brazil;DEs, Universidade Federal de São Carlos, CP 676, São Carlos, SP, Brazil;ICMC-Universidade de São Paulo, Brazil
Venue:
Computational Statistics & Data Analysis
Year:
2011

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Abstract

In this paper we propose a new lifetime distribution which can handle bathtub-shaped, unimodal, increasing and decreasing hazard rate functions. The model has three parameters and generalizes the exponential power distribution proposed by Smith and Bain (1975) with the inclusion of an additional shape parameter. The maximum likelihood estimation procedure is discussed. A small-scale simulation study examines the performance of the likelihood ratio statistics under small and moderate sized samples. Three real datasets illustrate the methodology.