More on the distribution of the sum of uniform random variables

被引：10

作者：

Potuschak, Heinrich ^{[1
]}

Mueller, Werner G. ^{[1
]}

机构：

[1] Johannes Kepler Univ Linz, Dept Appl Stat, IFAS, A-4040 Linz, Austria

来源：

STATISTICAL PAPERS | 2009年 / 50卷 / 01期

关键词：

Uniform distribution; Inverse fourier transform; Normal approximation;

D O I：

10.1007/s00362-007-0050-y

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The paper provides a simplified derivation of the density of the sum of independent non-identically distributed uniform random variables via an inverse Fourier transform. We also provide examples illustrating the quality of the Normal approximation and corresponding MATHEMATICA code.

引用

页码：177 / 183

页数：7

共 50 条

[1] More on the distribution of the sum of uniform random variables
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Werner G. Müller
[J]. Statistical Papers, 2009, 50 : 177 - 183
[2] On the distribution of the sum of independent uniform random variables
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[J]. Statistical Papers, 2009, 50 : 171 - 175
[3] On the distribution of the sum of independent uniform random variables
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[J]. STATISTICAL PAPERS, 2009, 50 (01) : 171 - 175
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[6] The Uniform Convergence of the Sum of Independent Random Variables
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