Bayesian Estimation of Two Pareto Overall Parameter under the Foreword Restraint
LI Yan-yin
Abstract
LI Yan-yin
Abstract
This article has mainly done the following several aspects of work to the Pareto distribution:(1)Under the square loss function,discussed Bayesian estimation of two Pareto overall parameter of any priori distribution under the foreword restraint,gave the precise form of Bayesian estimation about two Pareto overall parameter of given prior distribution under the foreword restraint,simultaneously had proven this estimation was may allow.(2)Under the entropy loss function,discussed Bayesian estimation of two Pareto overall parameter of any priori distribution under the foreword restraint,gave the precise form of Bayesian estimation about two Pareto overall parameter of given prior distribution under the foreword restraint,simultaneously had proven this estimate was may allow.
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This article has mainly done the following several aspects of work to the Pareto distribution:(1)Under the square loss function,discussed Bayesian estimation of two Pareto overall parameter of any priori distribution under the foreword restraint,gave the precise form of Bayesian estimation about two Pareto overall parameter of given prior distribution under the foreword restraint,simultaneously had proven this estimation was may allow.(2)Under the entropy loss function,discussed Bayesian estimation of two Pareto overall parameter of any priori distribution under the foreword restraint,gave the precise form of Bayesian estimation about two Pareto overall parameter of given prior distribution under the foreword restraint,simultaneously had proven this estimate was may allow.
Key concepts: Pareto interpolation, Pareto distribution, Lomax distribution, Pareto principle, Bayes estimator, Bayesian probability, A priori and a posteriori, Prior probability