Bayes Estimator of Generalized-Exponential Parameters Under General Entropyoss Function Using Lindley's Approximation

• Autorzy: Rahul Singh , S.K. Singh , Umesh Singh , G.P. Singh
• Języki publikacji: EN

Abstrakty

EN

In this paper, we have obtained the Bayes Estimator of scale and shape parameter of Generalized-Exponential using Lindley's approximation (L-approximation) under GENERAL ENTROPY loss functions. The proposed estimators have been compared with the corresponding MLE for their risks based on simulated samples from the Generalized-Exponential distribution. (original abstract)

Słowa kluczowe

EN

Estimators; Bayesian estimation

PL

Estymatory; Estymacja bayesowska

• Czasopismo: Statistics in Transition
• Rocznik: 2009
• Tom: 10
• Numer: nr 1
• Strony: 109--127

Twórcy

autor

Rahul Singh

• Govt. of U.P, Lucknow, India

autor

S.K. Singh

• Banaras Hindu University, India

autor

Umesh Singh

• Banaras Hindu University, India

autor

G.P. Singh

• Banaras Hindu University, India

Bibliografia

• AHMADI, J., DOOSTPARAST, M., & PARSIAN, A. (2005) Estimation and prediction in a two parameter exponential distribution based on k-record values under LINEX loss function. Commun. Statist. Theor. Meth. 34:795- 805.
• BAIN, L.J. & ENGELHARDT, M. (1991) Statistical Analysis of Reliability and Life Testing Models - Theory and Methods. New York: Marcel Dekker, Inc.
• BASU, A. P. & EBRAHIMI, N. (1991) Bayesian approach to life testing and reliability estimation using asymmetric loss-function. J. Statist. Plann. Infer. 29:21-31.
• CALABRIA, R. and PULCINI G. (1994 a); "An engineering approach to Bayes estimation For the Weibull distribution". Microelectron Relib, 34, 789- 802.
• CALABRIA, R. & PULCINI, G. (1996) Point estimation under asymmetric loss functions for left truncated exponential samples. Commun. Statist. Theor. Meth. 25(3):585-600.
• DEY, D.K., GHOSH, M. and SRINIVASAN,C. (1987)."Simultaneous estimation of Parameters under entropy loss", J. Statist. Plann. Inference, 347-363.
• DEY, D.K. and Pei-San LIAO LIU (1992). " On comparison of estimators in a generalized life model", Microelectron. Reliab., 32, 207-221.
• GUPTA, R.D. & KUNDU, D. (1999) Generalised-Exponential Distribution, Australia and New Zealand Journal of Statistics, 41,173-188.
• GUPTA, R.D. & KUNDU, D. (2002) Generalised-Exponential Distribution, Journal of Applied Statistical Society.
• JAHEEN, Z. F. (2005) On record statistics from a mixture of two exponential distributions. J. Statist. Computat. Simul. 75(1):1-11.
• LINDLEY, D.V. (1980) Approximate Bayes methods. Bayesian Statistics, Valency.
• Raqab, M.Z. & Ahsanullah, M (2001) Estimation of location and scale parameter of Generalised-Exponential Distribution based on Order Statistics. Journal of Statistical Computation and Simulation, 69, 2, 109-124.
• SINGH, U., GUPTA, P. K., & UPADHYAY, S. K. (2005) Estimation of parameters for exponentiated-Weibull family under Type-II censoring scheme. Omputat. Statist. DataAnal. 48(3):509-523.
• PARSIAN,A. and SANJARI FARSIPOUR,N(1993). "On the admissibility and inadmissibility of estimators of scale parameters using an asymmetric loss function", Commun. Statist. Theory Meth, 22,2877-2901.
• P.K. SINGH, S.K. SINGH and U. SINGH (2008) Bayes Estimator of Inverse Gaussian Parameters Under General Entropy Loss Function Using Lindley's Approximation. Appearing in Vol. 37, Issue 4, Communications in statistics: Simulation and Computation
• SOLIMAN, A. A. (2002) Reliability estimation in a generalized life-model with application to the Burr-XII. IEEE Trans. Reliabil. 51: 337 -343.
• VARIAN, H. R. (1975) A Bayesian approach to real state assessment. In: Stephen, E. F. & Zellner, A. ( Eds.) Studies in Bayesian Econometrics and Statistics in Honor of Leonard J. Savage, pp. 195-208. Amsterdam: North- Holland.
• ZELLNER, A. (1986) A Bayesian Estimation and Prediction using Asymmetric Loss function. JASA, 81, 446- 451.