Sums, products, and ratios for downton’s bivariate exponential distribution

被引：0
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作者：
Saralees Nadarajah
Samuel Kotz
机构：
[1] University of Nebraska,Department of Statistics
[2] The George Washington University,Department of Engineering Management and Systems Engineering
来源：
Stochastic Environmental Research and Risk Assessment | 2006年 / 20卷
关键词：
Water Wave; Environmental Application; Jacobi Polynomial; Burrows; Modify Bessel Function;
D O I：
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学科分类号：
摘要：
Motivated by environmental applications, we derive the exact distributions of R = X+Y, P = XY and W = X/(X+Y) and the corresponding moment properties when X and Y follow Downton’s bivariate exponential distribution. The expressions turn out to involve several special functions. For practical purposes, we also provide extensive tabulations of the percentage points associated with the distributions.
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页码：164 / 170
页数：6
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