Complete monotonicity of half p-norm distribution and its Rényi entropy

In the paper, we give the definition of half p-norm density distribution, whose important special cases are the half normal distribution (p=2) and the half Laplace distribution (p=1), and obtain the complete monotonicity of the density function for 0 0) respectively.

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Publication Details

Journal
Communication in Statistics- Theory and Methods
Published
2026-10-05
DOI
https://doi.org/10.1080/03610926.2026.2738823
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Complete monotonicity of half p-norm distribution and its Rényi entropy

Minbo Hu
Communication in Statistics- Theory and Methods
Mathematical Inequalities and Applications
article

Complete monotonicity of half p-norm distribution and its Rényi entropy

Minbo Hu
article en

Abstract

In the paper, we give the definition of half p-norm density distribution, whose important special cases are the half normal distribution (p=2) and the half Laplace distribution (p=1), and obtain the complete monotonicity of the density function for 0 0) respectively.

Communication in Statistics- Theory and Methods
University of Zurich (CH)
Openalex Percentile: Top 6%
Mathematical Inequalities and Applications
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Complete monotonicity of half p-norm distribution and its Rényi entropy — Minbo Hu · Communication in Statistics- Theory and Methods (2026) | TGRS Research Map | TGRS