文章基本信息

标题：A Note on the Construction of a Sample Variance
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作者：Nitis Mukhopadhyay ; Bhargab Chattopadhyay
期刊名称：Sri Lankan Journal of Applied Statistics
印刷版ISSN：1391-4987
电子版ISSN：2424-6271
出版年度：2014
卷号：15
期号：1
页码：71-80
DOI：10.4038/sljastats.v15i1.6795
语种：English
出版社：The Institute of Applied Statistics, Sri Lanka
摘要：Mukhopadhyay and Chattopadhyay (2013) proposed a new approach to construct unbiased estimators of by U-statistics starting with a class of non-symmetric initial kernels of degree m(> 2): But, surprisingly all symmetrized final estimators in the form of U-statistics reduced to when the parent distribution function (d.f.) F remained unknown. Now, we exhibit another class of non-symmetric initial kernels to come up with U-statistics of degree m(> 2) and unbiased for : Interestingly, the associated symmetrized final U-statistics again coincide with (Theorem 2.1), settling the open question from Remark 3.1 of Mukhopadhyay and Chattopadhyay (2013).DOI: http://dx.doi.org/10.4038/sljastats.v15i1.6795
关键词：Kernels; Sample variance; U-statistics