Asgharzadeh, Akbar; Sharifi, Mohammad Preliminary test estimation in two-parameter exponential model under progressively type-II censoring. (Persian. English summary) Zbl 1413.62019 JAMM, J. Adv. Math. Model. 5, No. 2, 73-89 (2015). Summary: In this paper, the preliminary test estimators for the location and scale parameters of the two-parameter exponential model are presented based on progressively type II censored samples. The biases and mean squared errors of the proposed estimators are given. It is shown that the proposed estimators dominate the corresponding classical estimators in the neighborhood of null hypothesis. We also provide the range of the parameters for which the proposed estimators dominate the corresponding classical estimators for different sample sizes and levels of significance. Finally, a numerical example is given to illustrate the results. MSC: 62F10 Point estimation 62F30 Parametric inference under constraints 62N01 Censored data models Keywords:two-parameter exponential model; preliminary test estimation; progressively type-II censoring; relative efficiency PDFBibTeX XMLCite \textit{A. Asgharzadeh} and \textit{M. Sharifi}, JAMM, J. Adv. Math. Model. 5, No. 2, 73--89 (2015; Zbl 1413.62019) Full Text: DOI References: [1] Saleh, A.K.Md.E. (2006). Theory of Preliminary Test and Stein-Type Estimations with Applications. Wiley, New York. [2] Bancroft, T.A. (1944). On biases in estimation due to use of preliminary tests of significance. Annals of Mathematical Statistics, 15, 190-204. [3] Han, C.P. and Bancroft, T.A. (1968). On pooling means when variance is unknown. Journal of the American Statistical Association, 63, 1333-1342. [4] Judge, G.G.and Bock, M.E. (1978). The Statistical Implications of Pre-Test and Stein-Rule Estimators in Econometrics. 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