Reliability Characteristics of the Maxwell Distribution: A Bayes Estimation Study

Estimation in Maxwell distribution with randomly censored data

“…Bayesian analysis updates the sample information, incorporating the prior information about the parameters θ and λ. Bayes estimation for Maxwell distribution has been dealt with by many authors such as Bekker and Roux, [9] Krishna and Malik, [10] and Tomer and Panwar. [11] In this section, we take the priors for the parameters θ and λ as inverted gamma densities with hyper-parameters a 1 , b 1 and a 2 , b 2 , respectively.…”

“…It has been extensively studied in reliability theory by many authors such as Tyagi and Bhattacharya, [7,8] and Bekker and Roux. [9] Krishna and Malik [10] showed that, in certain situations, it has been found to fit as a better failure model than the popular ones such as exponential, gamma and Weibull. Tomer and Panwar [11] obtained maximum likelihood and Bayes estimates of parameter under type-I progressive hybrid censoring for Maxwell distribution.…”

Bayesian Estimation of the Parameter of Maxwell Distribution under Different Loss Functions

“…Podder and Roy (2003) estimated the parameter of this distribution under Modified Linear Exponential Loss Function (MLINEX). Bekker and Roux (2005) presented the maximum likelihood estimator, as well as the Bayes' estimators of the truncated first moment and hazard function of the Maxwell distribution.…”

A Note on the Maximum Likelihood Estimators for the Mixture of Maxwell Distributions Using Type-I Censored Scheme

“…Chaturvedi and Rani [10] generalized Maxwell distribution and they obtained Classical and Bayesian estimators for generalized distribution. Bekker and Roux [11] studied Empirical Bayes estimation for Maxwell distribution. These studies give mathematical handling to Maxwell distribution but ignore the application aspect of the Maxwell distribution.…”