A probabilistic proof of some integral formulas involving incomplete gamma functions

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Communications in Statistics - Theory and Methods Pub Date : 2024-06-30 DOI:10.1080/03610926.2024.2363870

Robert E. Gaunt

引用次数: 0

Abstract

The theory of normal variance mixture distributions is used to provide elementary derivations of closed-form expressions for the definite integrals ∫0∞x−2νcos⁡(bx)γ(ν,αx2)dx (for ν>1/2, b > 0, α > ...

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涉及不完全伽马函数的一些积分公式的概率证明

正态方差混合分布理论用于提供定积分∫0∞x-2νcos(bx)γ(ν,αx2)dx（ν>1/2，b>0，α>......）闭式表达式的基本推导。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Statistics - Theory and Methods 数学-统计学与概率论

CiteScore

2.00

自引率

12.50%

发文量

320

审稿时长

7.5 months

期刊介绍： The Theory and Methods series intends to publish papers that make theoretical and methodological advances in Probability and Statistics. New applications of statistical and probabilistic methods will also be considered for publication. In addition, special issues dedicated to a specific topic of current interest will also be published in this series periodically, providing an exhaustive and up-to-date review of that topic to the readership.