TITLE

The beta modified Weibull distribution

AUTHOR(S)
Silva, Giovana; Ortega, Edwin; Cordeiro, Gauss
PUB. DATE
July 2010
SOURCE
Lifetime Data Analysis;Jul2010, Vol. 16 Issue 3, p409
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A five-parameter distribution so-called the beta modified Weibull distribution is defined and studied. The new distribution contains, as special submodels, several important distributions discussed in the literature, such as the generalized modified Weibull, beta Weibull, exponentiated Weibull, beta exponential, modified Weibull and Weibull distributions, among others. The new distribution can be used effectively in the analysis of survival data since it accommodates monotone, unimodal and bathtub-shaped hazard functions. We derive the moments and examine the order statistics and their moments. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set is used to illustrate the importance and flexibility of the new distribution.
ACCESSION #
51279854

Tags: WEIBULL distribution;  MAXIMUM likelihood statistics;  DENSITY functionals;  STATISTICAL reliability;  PARAMETER estimation;  SURVIVAL analysis (Biometry)

 

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