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对称统计量的渐近分布
Sequences of $m$th order symmetric statistics are examined for convergence in law. Under appropriate conditions, a limiting distribution exists and is equivalent to that of a linear combination of products of Hermite polynomials of independent $N(0, 1)$ random variables. Connections with the work of von Mises, Hoeffding, and Filippova are noted.
具有单调似然比的分布
A sufficient condition for the validity of the commonly used one-sided tests is that the underlying density p(x, ω), where x is the observed variable and ω the unknown parameter, possess a “monotone likelihood ratio.” In estimation, only monotone functions of the observed variable x should be used as possible estimating functions of ω.
具有单调似然比的分布
A sufficient condition for the validity of the commonly used one-sided tests is that the underlying density p(x, ω), where x is the observed variable and ω the unknown parameter, possess a “monotone likelihood ratio.” In estimation, only monotone functions of the observed variable x should be used as possible estimating functions of ω.