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Some Aspects of the Odd Log-Logistic Burr X Distribution with Applications in Reliability Data Modeling
Abstract
A new extension of Burr type X distribution named as the odd log-logistic Burr X distribution is proposed. Explicit expressions for important properties such as quantile function, moments, entropy, stress-strength reliability, moment of order statistics, stochastic ordering and shapes of this distribution are provided to enable mathematical treatment. Performance of estimation technique used for model parameters estimation is numerically investigated employing Monte Carlo simulation with different sample sizes and parameter combinations. To justify the usefulness of the proposed distribution in real life reliability engineering examples two data modeling are presented. Findings form these applications has clearly suggested the enhanced ability of the proposed model in adjustment of the considered data sets.
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