Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (2): 142-152.

• Articles • Previous Articles     Next Articles

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

Chen Guijing1, Wang Yaohong2, Li Ningning3   

  1. 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.

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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

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