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矩形总体中乘积统计量分布的若干推广AI 解读

This paper presents a unified approach to the distributions of the product of k (≥2) maximum values, and the product of k sample ranges from rectangular populations, both for equal and unequal sample sizes. The results obtained are generalisations based on some earlier work of Rider. It is proved that in all cases the distributions can be conveniently transformed to χ2's by the use of a well-known logarithmic transformation. It is also suggested that these results might be…

矩形分布总体中乘积统计量分布的若干推广AI 解读

This paper presents a unified approach to the distributions of the product of k (≥2) maximum values, and the product of k sample ranges from rectangular populations, both for equal and unequal sample sizes. The results obtained are generalisations based on some earlier work of Rider. It is proved that in all cases the distributions can be conveniently transformed to χ2's by the use of a well-known logarithmic transformation. It is also suggested that these results might be…