An Extended UMA Distribution with Statistical Properties and Applications to Real Lifetime
Data
Jyotirmoyee Baishya, Rama Shanker
Abstract
In this paper, an extension of the Uma distribution which includes Uma distribution as a particular case and offers
more flexible probability model for lifetime data, has been proposed. Various statistical properties of the
distribution including density function, hazard function, reverse hazard function, mean residual life function,
stochastic orderings, moments-based measures, Bonferroni, Lorenz curves, deviation from mean and median and
stress-strength reliability have been discussed. The estimation of parameters using maximum likelihood
estimation and the simulation study to know the consistency of estimators are presented. Two real lifetime datasets
have been considered for illustrating the performance of the distribution and its goodness of fit has been compared
with other two-parameter distributions.
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