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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

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
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引用次数: 0

摘要

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。
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A probabilistic proof of some integral formulas involving incomplete gamma functions
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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来源期刊
Communications in Statistics - Theory and Methods
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.
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