Statistical Inferences of Arcsin-Burr X Distribution with Application to Reliability
Abstract
In this research work, we propose a new G-family of probability distributions by utilizing the arcsine trigonometric function. We investigate one of its special members by adopting the Burr X distribution as a base distribution. Various statistical properties such as entropy, parallel and series reliability functions, Cramer Rao inequality, pivotal quantities, etc., are explored. We conduct a comprehensive simulation study of the maximum likelihood estimation method. The suggested model is applied to reliability engineering. Our findings indicate that the suggested model better fits real datasets compared to some competing models under study.
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