ON BAHADUR-TYPE ASYMPTOTIC EFFICIENCY OF POINT ESTIMATORS UNDER IRREGULAR TRUNCATED DISTRIBUTION FAMILY

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (2): 142-152.

ON BAHADUR-TYPE ASYMPTOTIC EFFICIENCY OF POINT ESTIMATORS UNDER IRREGULAR TRUNCATED DISTRIBUTION FAMILY

陈桂景¹, 王尧弘², 李宁宁³

1. Department of Mathematics, Anhui University, Hefei 250039, China;
2. Department of Mathematics & Statistics, Concordia University, Montreal H3G 1M8, Canada;
3. Tex Bureau of Sanzao, Zhuhai 519040, Guangdong, China

收稿日期:1994-03-03 修回日期:1995-06-03 出版日期:1996-06-25 发布日期:1996-06-25
基金资助:
This work is supported by the National Science Foundation of China and a grant from the Natural Science and Engineering Research Council of Canada.

ON BAHADUR-TYPE ASYMPTOTIC EFFICIENCY OF POINT ESTIMATORS UNDER IRREGULAR TRUNCATED DISTRIBUTION FAMILY

Chen Guijing¹, Wang Yaohong², Li Ningning³

1. Department of Mathematics, Anhui University, Hefei 250039, China;
2. Department of Mathematics & Statistics, Concordia University, Montreal H3G 1M8, Canada;
3. Tex Bureau of Sanzao, Zhuhai 519040, Guangdong, China

Received:1994-03-03 Revised:1995-06-03 Online:1996-06-25 Published:1996-06-25
Supported by:
This work is supported by the National Science Foundation of China and a grant from the Natural Science and Engineering Research Council of Canada.

摘要/Abstract

摘要： In this paper, the optimal convergence rates of point estimators have been found under the irregular truncated distribution family, and corresponding Bahadurtype asymptotic efficiencies have been established. It has been justified that commonly used estimators are all efficient in this sense.

关键词: irregular truncated family, Bahadnr-type asymptotic efficiency, commonly used estimator

Abstract: In this paper, the optimal convergence rates of point estimators have been found under the irregular truncated distribution family, and corresponding Bahadurtype asymptotic efficiencies have been established. It has been justified that commonly used estimators are all efficient in this sense.

Key words: irregular truncated family, Bahadnr-type asymptotic efficiency, commonly used estimator

陈桂景, 王尧弘, 李宁宁. ON BAHADUR-TYPE ASYMPTOTIC EFFICIENCY OF POINT ESTIMATORS UNDER IRREGULAR TRUNCATED DISTRIBUTION FAMILY[J]. 数学物理学报(英文版), 1996, 16(2): 142-152.

Chen Guijing, Wang Yaohong, Li Ningning. ON BAHADUR-TYPE ASYMPTOTIC EFFICIENCY OF POINT ESTIMATORS UNDER IRREGULAR TRUNCATED DISTRIBUTION FAMILY[J]. Acta mathematica scientia,Series B, 1996, 16(2): 142-152.

ON BAHADUR-TYPE ASYMPTOTIC EFFICIENCY OF POINT ESTIMATORS UNDER IRREGULAR TRUNCATED DISTRIBUTION FAMILY

ON BAHADUR-TYPE ASYMPTOTIC EFFICIENCY OF POINT ESTIMATORS UNDER IRREGULAR TRUNCATED DISTRIBUTION FAMILY

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