Applications of improved variance estimators in a multivariate normal mean vector estimation

Statistics

Volumn 30, Issue 2, 1997, Pages 99-125

  Lin, Jyh Jiuan ^a   Pal, Nabendu ^b   Chang, Ching Hui ^c  

^a China Jr Coll Indust Comml Mgmt   (Taiwan)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^c MING CHUAN UNIVERSITY   (Taiwan)

Author keywords

Admissibility; Loss function; Risk function; Shrinkage estimation

Indexed keywords

EID: 5244263975     PISSN: 02331888     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331889708802604     Document Type: Article

References (12)

1. Berry, J. C. (1994). Improving the James-Stein estimator using the Stein variance estimator. Statistics and Probability Letters, 20, 241-245.
2. Brewster, J. F. and Zidek, J. V. (1974). Improving on equivariant estimators. Ann. Statist., 2, 21-38.
3. Brown, L. D. (1968). Inadmissibility of the usual estimators of scale parameters in problems with unknown location and scale parameters. Ann. Math. Stat., 39, 29-48.
4. Guo, Y. Y. and Pal, N. (1992). A sequence of improvements over the James-Stein estimator. J. Multiv. Anal., 42(2), 302-317.
5. Hebel, P., Faivre, R., Goffinet, B. and Wallach, D. (1993). Shrinkage estimators applied to prediction of French winter wheat yield, Biometrics, 49, 281-293.
6. Kubokawa, T. (1991). An approach to improving the James-Stein estimator, J. Multiv. Anal., 36, 121-126.
7. Kubokawa, T., Morita, K., Makita, S. and Nagakura, K. (1993). Estimation of the variance and its applications. J. Stat. Plan. and Inf., 35, 319-333.
8. Kubokawa, T. (1994). A unified approach to improving equivariant estimators. Ann. Stat., 22, 290-299.
9. Pal, N., Ling, C. and Lin, J. (1997). Estimation of a normal variance - a critical review. To appear in Statistical Papers/Statistiche Hefte.
10. Stein, C. (1964). Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean. Annals of the Institute of Statistical Mathematics., 16, 155-160.
11. Stein, C. (1981). Estimation of the Mean of a Multivariate Normal distribution. Ann. Stat., 9, 1135-1151.
12. Strawderman, W. E. (1974). Minimax estimation of powers of the variance of a normal population under squared error loss. Ann. Stat., 2, 190-198.