Some Bayes Estimators for Maxwell Distribution by Using New Loss Function
Keywords:Maxwell distribution, Bayesian estimations, New loss Function, Jefferys prior and Inverted Levy prior, Mean squared error.
AbstractIn the current study, we have been derived some Bayesian estimations of the scale parameter of Maxwell distribution using the New loss function (NLF) which it called Generalized weighted loss function, assuming non-informative prior, namely, Jefferys prior and information prior, represented by Inverted Levy prior. Based on Monte Carlo simulation method, those estimations are compared depending on the mean squared errors (MSE's). The results show that, the behavior of Bayesian estimation under New loss function using Inverted Levy prior when (k=0, c=3) is the better behavior than other estimates for all cases.
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