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The Lehmann type II inverse Weibull distribution in the presence of censored data

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Author(s):
Tomazella, Vera L. D. ; Ramos, Pedro L. ; Ferreira, Paulo H. ; Mota, Alex L. ; Louzada, Francisco
Total Authors: 5
Document type: Journal article
Source: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION; v. 51, n. 12, p. 17-pg., 2020-09-23.
Abstract

In this article, we investigate the mathematical properties of the Lehmann type II inverse Weibull distribution. We show that this model is a reparameterized version of the Kumaraswamy-inverse Weibull distribution without identifiability problems. Parameter estimation is discussed using maximum likelihood (ML) method under a right-censoring scheme. Furthermore, a bootstrap resampling approach is considered to reduce the bias of the ML estimates. In order to illustrate the proposed methodology, we consider a real data set related to the failure time of devices in an aircraft. (AU)

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