Asymptotic properties of maximum weighted likelihood estimators

Journal of Statistical Planning and Inference

Volumn 119, Issue 1, 2004, Pages 37-54

  Wang, Xiaogang ^a   van Eeden, Constance ^a   Zidek, James V ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Asymptotic normality; Consistency; James Stein; Weighted likelihood

Indexed keywords

EID: 0242467619     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00410-X     Document Type: Article

References (18)

1. Casella G. Strawderman W.E. Estimation of bounded normal mean Ann. Statist. 9 1981 870-878
2. Eguchi S. Copas J. A class of local likelihood methods and near-parametric asymptotics J. Roy. Statist. Soc. Ser. B 60 1998 709-724
3. Ferguson T.S. A Course in Large Sample Theory 1996 Chapman & Hall New York
4. Hu F. The asymptotic properties of the maximum-relevance weighted likelihood estimators Canad. J. Statist. 25 1997 45-59
5. Hu, F., Zidek, J.V., 1995. Incorporating relevant sample information using the likelihood. Technical Report No. 161, Department of Statistics, The University of British Columbia, Vancouver, BC, Canada.
6. Hu F. Zidek J.V. The relevance weighted likelihood with applications In: Ahmed S.E. Reid N. (Eds.) Empirical Bayes and Likelihood Inference 2001 211-235 Springer New York
7. Lehmann E.L. Theory of Point Estimation 1983 John Wiley New York
8. Newton M.A. Raftery A.E. Approximate Bayesian inference with the weighted likelihood bootstrap J. Roy. Statist. Soc. Ser. B 56 1994 3-48
9. Rao P.B.L.S. Asymptotic theory of weighted maximum likelihood estimation for growth models In: Prabhu N. Vasawa I.V. (Eds.) Statistical Inference for Stochastic Processes 1991 183-208 Dekker New York
10. Schervish, M.J., 1995. Theory of statistics: the exchangable case. Preliminary Draft
11. Sen P.K. Singer J.M. Large Sample Methods in Statistics 1993 Springer New York
12. Strawderman, W.E., 2000. Lectures Notes of Special Lectures given at the Department of Statistics of University of British Columbia.
13. Tibshirani R. Hastie T. Local likelihood estimation J. Amer. Statist. Assoc. 82 1987 559-567
14. van Eeden, C., Zidek, J.V., 2000. Combining the data from two normal populations to estimate the mean of one when their mean difference is bounded, submitted for publication.
15. van Eeden C. Zidek J.V. Estimating one of two normal means when their difference is bounded Statist. Probab. Lett. 51 2001 277-284
16. Wald A. Note on the consistency of the maximum likelihood estimate Ann. Math. Statist. 15 1949 358-372
17. Wang, X., 2001. Maximum weighted likelihood estimation. Ph.D. Thesis, Department of Statistics, The University of British Columbia, Vancouver, BC, Canada.
18. Wang, X., van Eeden, C., Zidek, J.V. 2002. Technical report on weighted likelihood estimation and asymptotic properties of the weighted likelihood estimators. Technical Report No. 201, Department of Statistics, University of British Columbia.