Log-logistic Distribution as a Reliability Model: A Bayesian Analysis

作者: Tanwir Akhtar , Athar Ali Khan

DOI:

关键词: Inverse-chi-squared distributionLaplace's methodReliability (statistics)Bayesian hierarchical modelingBayesian linear regressionLog-logistic distributionBayesian probabilityMathematicsData miningBayesian inference

摘要: Log-logistic distribution is a very important reliability model as it fits well in many practical situations of data analyses. Another feature with the log-logistic lies its closed form expression for survival and hazard functions that makes advantageous over log-normal distribution. It therefore more convenient handling censored than log-normal, while providing good approximation to except extreme tails. In this paper an attempt has been made use Bayesian analytic simulation methods fitting model. Real datasets are used purpose illustrations. R code provided implement mechanism. Laplace implemented approximating posterior densities parameters. Moreover, parallel tools also extensive R.

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