# Reference priors for nonregular Pareto distribution

• Kang, Sang-Gil (Department of Computer and Data Information, Sangji University) ;
• Kim, Dal-Ho (Department of Statistics, Kyungpook National University) ;
• Lee, Woo-Dong (Department of Asset Management, Daegu Haany University)
• Accepted : 2011.07.15
• Published : 2011.08.01

#### Abstract

In this paper, we develop the reference priors for the scale and shape parameters in the nonregular Pareto distribution. We derive the reference priors as noninformative priors and prove the propriety of joint posterior distribution under the general priors including reference priors in the order of inferential importance. Through the simulation study, we compare the reference priors with respect to coverage probabilities of parameter of interest in a frequentist sense.

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