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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Ewens's sampling formula ： ウィキペディア英語版 Ewens's sampling formula In population genetics, Ewens' sampling formula, describes the probabilities associated with counts of how many different alleles are observed a given number of times in the sample. ==Definition== Ewens' sampling formula, introduced by Warren Ewens, states that under certain conditions (specified below), if a random sample of ''n'' gametes is taken from a population and classified according to the gene at a particular locus then the probability that there are ''a''1 alleles represented once in the sample, and ''a''2 alleles represented twice, and so on, is :$\backslash operatorname(a\_1,\backslash dots,a\_n;\; \backslash theta)=\backslash prod\_^n\; a\_j!\},$ for some positive number ''θ'' representing the population mutation rate, whenever ''a''1, ..., ''a''''n'' is a sequence of nonnegative integers such that :$a\_1+2a\_2+3a\_3+\backslash cdots+na\_n=n.\backslash ,$ The phrase "under certain conditions" used above is made precise by the following assumptions: * The sample size ''n'' is small by comparison to the size of the whole population; and * The population is in statistical equilibrium under mutation and genetic drift and the role of selection at the locus in question is negligible; and * Every mutant allele is novel. (See also infinite-alleles model.) This is a probability distribution on the set of all partitions of the integer ''n''. Among probabilists and statisticians it is often called the multivariate Ewens distribution. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Ewens's sampling formula」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.