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Associated with an estimable parameter, we consider $ mathrm{V} $-statistic and limit of Bayes estimate which we abbreviate $ mathrm{LB} $-statistic. We assume that the kernel of the estimable paramet...er is degenerate. With respect to the expression of these statistics as a linear combination of $ mathrm{U} $-statistics, we show the properties of its components which are unbiasedness and degeneracy. Using these properties, we give their asymptotic distributions. For the $ mathrm{V} $-statistic, its asymptotic distribution is well-known (see, for example, Borovskikh (1996), p.113). But our expression is different from it. We confirm these are equivalent.続きを見る
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Mendeley出力
