CONVOLUTION  THEOREM  AND  ASYMPTOTIC  EFFICIENCY  IN  TWO  SIDE  TRUNCATED  DISTRIBUTION  FAMILY—THE  NORMAL  CASE

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	CONVOLUTION THEOREM AND ASYMPTOTIC EFFICIENCY IN TWO SIDE TRUNCATED DISTRIBUTION FAMILY—THE NORMAL CASE
其他题名	Convolution theorem and asymptotic efficiency in two side truncated distribution family-the normal case
	Song Weixing 1; Cheng Ping 2
	2002
发表期刊	系统科学与复杂性：英文版
ISSN	1009-6124
卷号	15.0 期号:003 页码:315-328
摘要	In the distribution family with common support and the one side truncated distribution family,Bickle,I.A.Ibragimov and R.Z.Hasminskii proved two important convolution theorems.As to the two-side truncated case,we also proved a convolution theorem,which plays an extraordinary role in the efficency theory.In this paper,we will study another kind of two-side truncated distribution family,and prove a convolution result with normal form.On the basis of this convolution result,a new kind of efficiency concept is given;meanwhile,we will show that MLE is an efficient estimate in this distribution family.
其他摘要	In the distribution family with common support and the one side truncated distribution family, Bickle, I. A. Ibragimov and R. Z. Hasminskii proved two important convolution theorems. As to the two-side truncated case, we also proved a convolution theorem, which plays an extraordinary role in the efficiency theory. In this paper, we will study another kind of two-side truncated distribution family, and prove a convolution result with normal form. On the basis of this convolution result, a new kind of efficiency concept is given; meanwhile, we will show that MLE is an efficient estimate in this distribution family.
关键词	系统分析效率理论褶积理论渐近效率两侧截平分布族
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:1363947
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56225
专题	中国科学院数学与系统科学研究院
作者单位	1.北京师范大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Song Weixing,Cheng Ping. CONVOLUTION THEOREM AND ASYMPTOTIC EFFICIENCY IN TWO SIDE TRUNCATED DISTRIBUTION FAMILY—THE NORMAL CASE[J]. 系统科学与复杂性：英文版,2002,15.0(003):315-328.
APA	Song Weixing,&Cheng Ping.(2002).CONVOLUTION THEOREM AND ASYMPTOTIC EFFICIENCY IN TWO SIDE TRUNCATED DISTRIBUTION FAMILY—THE NORMAL CASE.系统科学与复杂性：英文版,15.0(003),315-328.
MLA	Song Weixing,et al."CONVOLUTION THEOREM AND ASYMPTOTIC EFFICIENCY IN TWO SIDE TRUNCATED DISTRIBUTION FAMILY—THE NORMAL CASE".系统科学与复杂性：英文版 15.0.003(2002):315-328.