A New Family of Generalized Distributions with an Application to Weibull Distribution
Keywords:
Weibull distribution, hazard rate function, p-p plot, mean residual life, maximum likelihood estimationAbstract
A new method has been introduced to add an extra parameter to a family of distributions to get more flexibility in the new model. A special case namely; two parameter Weibull distribution has been considered. The proposed distribution has a desirable property to model monotone and nonmonotone hazard rate functions, which are very common in reliability theory. Various properties
of the proposed distribution are derived including moments, quantiles, entropy, moment generating function, mean residual life time and stress-strength reliability. A simulation study has been carried out to describe the performance of the model. Two data sets have been analyzed to illustrate how the proposed model works in practice.
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