Journal
COMPUTATIONAL STATISTICS
Volume 35, Issue 1, Pages 281-308Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00180-019-00932-9
Keywords
Bayesian estimation; Hazard rate function; Lindley distribution; Maximum likelihood; Simulation
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In this paper, a new class of distributions called the odd log-logistic Lindley-G family is proposed. Several of its statistical and reliability properties are studied in-detail. One members of the proposed family can have symmetrical, right-skewed, leftt-skewed and reversed-J shaped densities, and decreasing, increasing, bathtub, unimodal and reversed-J shaped hazard rates. The model parameters are estimated using the maximum likelihood and Bayesian methods. Monte-Carlo simulation study is carried out to examine the bias and mean square error of maximum likelihood and Bayesian estimators. Finally, four real data sets are analyzed to show the flexibility of the new family.
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