[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5351/CKSS.2003.10.2.333

On the Development of Probability Matching Priors for Non-regular Pareto Distribution

Lee, Woo Dong (Faculty of Information and Science, Daegu Haany University)
Kang, Sang Gil (Department of Applied Statistics, Sangji University)
Cho, Jang Sik (Department of Statistical Information Science, Kyungsung University)

Publication Information

Communications for Statistical Applications and Methods / v.10, no.2, 2003 , pp. 333-339 More about this Journal

Abstract

In this paper, we develop the probability matching priors for the parameters of non-regular Pareto distribution. We prove the propriety of joint posterior distribution induced by probability matching priors. Through the simulation study, we show that the proposed probability matching Prior matches the coverage probabilities in a frequentist sense. A real data example is given.

Keywords

Pareto Distribution; Noninformative Prior; Probability Matching Prior; Non-regular Case;

Citations & Related Records

Reference

1	Bayesian Inference for Pareto Populations / [ Arnold,B.C.;Press,S.J. ] / Journal of Econometrics DOI ScienceOn
2	Bayesian Estimation and Prediction for Pareto Data / [ Arnold,B.C.;Press,S.J. ] / Journal of the American Statistical Association DOI ScienceOn
3	Estimation of the Tail of the Paretian Law / [ Lwin,T. ] / Scandinavian Actuarial Journal
4	Bayesian Prediction Bounds for the Pareto Lifetime Model / [ Nigm,A.M.;Hamdy,H.L. ] / Communications in Statistics DOI ScienceOn
5	Noninformative Priors for One Parameter of Many / [ Tibshirani,R. ] / Biometrika DOI ScienceOn
6	Second Order Probability Matching Priors / [ Mukerjee,R.;Ghosh,M. ] / Biometrika DOI ScienceOn
7	Bayes Estimation for the Pareto Failure-Model Using Gibbs Sampling / [ Tiwari,R.C.;Yang,Y.;Zalkikar,J.N. ] / IEEE Trans. Reliability
8	On the Invariance of Noninformative Priors / [ Datta,G.S.;Ghosh,M. ] / The Annal of Statistics DOI ScienceOn
9	Probability Matching Priors for Non-Regular Cases / [ Ghosal,S. ] / Biometrica DOI ScienceOn
10	Frequentist validity of Posterior Quantiles in the Presence of a Nuisance Parameter : Higher Order Asymptotics / [ Mukerjee,R.;Dey,D.K. ] / Biometrika DOI ScienceOn
11	Some Remarks on Noninformative Priors / [ Datta,G.S.;Ghosh,M. ] / Journal of the American Statistical Association DOI ScienceOn
12	On Priors Providing Frequentist Validity for Bayesian Inference / [ Datta,G.S.;Ghosh,J.K. ] / Biometrika DOI
13	Interval Prediction for Pareto and Exponential Observables / [ Geisser,S. ] / Journal of Econometrics DOI ScienceOn
14	Prediction Pareto and Exponential Observables / [ Geisser,S. ] / Canadian Journal of Statistics DOI
15	/ [ Arnold,B.C.;Press,S.J.;P.Goel(ed.);a.Zellner(ed.) ] / Bayesian Inference and Decision Techniques