Characteristic functions of polynomial-normal distributions

被引：0

作者：

Plucińska A. ^{[1
]}

Plucińskii E. ^{[1
]}

机构：

[1] Mathematical Institute, Warsaw Technical University, 00-661 Warszawa, pl. Politechniki

来源：

Journal of Mathematical Sciences | 2000年 / 99卷 / 3期

关键词：

Characteristic Function; Normal Density; Optional Parameter; Inverse Fourier Transformation; Hermite Polynomial;

D O I：

10.1007/BF02674091

中图分类号：

学科分类号：

摘要：

The densities of polynomial-normal distributions (PND) are the product of nonnegative polynomials and normal densities. These densities provide a rich class of distributions that can be used in modeling when faced with nonnormal characteristics such as skewness and multimodality. We give necessary and sufficient conditions for φ to be a characteristic function (ch.f.) of a PND. Then we give an effective construction of the ch.f. of a PND. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：1317 / 1323

页数：6

共 6 条

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[2]

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[3]

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[4]

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