Abstract
This paper considers the preliminary test and Stein-type estimation of regression parameters in exponential regression failure time distribution. We consider a situation where the lifetime data may be right censored with multiple observations taken at each regression vector. We propose improved estimators of the regression vector when it is suspected that the true regression parameter vectors may be restricted to a linear subspace. The large sample risk properties of the proposed estimators are derived. The relative merits of the proposed estimators are discussed.
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7 References
Ahmed, S.E. (1992). Large-sample pooling procedure for correlation. J. Roy. Statist. Soc. Ser. D 41, 425–438.
Ahmed, S.E. and A.K.Md.E. Saleh (1993). Improved estimation for the component mean-vector. J. Japan Statist. Soc. 23, 145–159.
Bancroft, T.A. (1944). On biases in estimation due to the use of preliminary tests of significance. Ann. Math. Statist. 15, 190–204.
Berkson, J. (1942). Test of significance considered as evidence. J. Amer. Statist. Assoc. 37, 325–335.
Brandwein, A.C. and W.E. Strawderman (1990). Stein estimation: The spherically symmetric case. Statist. Sci. 5, 356–369.
James, W. and C. Stein (1961). Estimation with quadratic loss. In Proc. 4th Berkeley Symp. Math. Statist, and Prob., Vol. I, pp. 361–379. Univ. California Press, Berkeley, CA.
Lawless, J.F. (1982). Statistical Models and Methods for Lifetime Data. New York: Wiley.
Saleh, A.K.Md.E. and P.K. Sen (1978). Non-parametric estimation of location parameter after a preliminary test regression. Ann. Statist. 6, 154–168.
Saleh, A.K.Md.E. and P.K. Sen (1985). On shrinkage M-estimator of location parameters. Comm. Statist. A-Theory Methods 14, 2313–2329.
Sen, P.K. (1986). On the asymptotic distributional risk shrinkage and preliminary test versions of maximum likelihood estimators. Sankhyā A 48, 354–371.
Shao, P.Y.-S. and W.E. Strawderman (1994). Improving on the James-Stein positive-part estimator. Ann. Statist. 22, 1517–1538.
Stein, C. (1956). Inadmissibility of the usual estimator for the mean of a multivariate normal distribution. In Proc. 3rd Berkeley Symp. Math. Statist, and Prob., Vol. I, pp. 197–206. Univ. California Press, Berkeley, CA.
Stigler, S.M. (1990). The 1988 Neyman Memorial Lecture: a Galtonian perspective on shrinkage estimators. Statist. Sci. 5, 147–155.
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Ahmed, S.E. (2001). Shrinkage Estimation of Regression Coefficients From Censored Data With Multiple Observations. In: Ahmed, S.E., Reid, N. (eds) Empirical Bayes and Likelihood Inference. Lecture Notes in Statistics, vol 148. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0141-7_8
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DOI: https://doi.org/10.1007/978-1-4613-0141-7_8
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