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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 19 | Number 1 | Year 2015 | Article Id. IJMTT-V19P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V19P503

Uniform Location-Scale Model: An Equivariant Estimation Approach


T. Leo Alexander
Abstract

A detailed discussion on equivariant estimation of the parameters of location, scale and location-scale models are given by LEHMANN AND CASELLA (1998). EDWIN PRABAKARAN and CHANDRASEKAR (1994) developed simultaneous equivariant estimation approach and illustrated the method with examples. In this paper, uniform Location-Scale model is considered and QA–MRE( Quadratic type MRE) estimator(s) of the parameters based on type II censored samples are obtained.

Keywords
Censored sampling, Equivariant estimation, Location-scale model, QA– MREand Uniform model.
References

[1] Bain, L. J., 1978: Statistical Analysis of reliability and life-testing models, Marcel Dekker. Inc., New York.
[2] Edwin Prabakaran, T. andChandrasekar, B. (1994): simultaneous Equivariant estimation for location-scale models. J.Statist. Plann. Inference 40, 51-59.
[3] Edwin Prabakaran, T., 1995: Contributions to theory of simultaneous Equivariant estimation. Ph.D. thesis, University of Madras.
[4] Lehmann, E.L. and Casella, G. (1998). Theory of Point Estimation, Second edition, Springer – Verlag, New York.
[5] Leo Alexander, T. (2000). Contributions to simultaneous equivariant estimation based on censored samples, Ph.D Thesis, University of Madras, India.
[6] Varian, H.R. (1975). A Bayesian Approch to Real Estate Assessment In : Studies in Bayesian Econometric and Statistics in Honor of Leonard J. Savage, eds. S.E. Frienberg and A.Zellner. North Holland, Amsterdam, 195-208.
[7] Zacks, S., 1971: The Theory of Statistical Inference. John Wiley and Sons, New York.

Citation :

T. Leo Alexander, "Uniform Location-Scale Model: An Equivariant Estimation Approach," International Journal of Mathematics Trends and Technology (IJMTT), vol. 19, no. 1, pp. 14-19, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V19P503

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