反高斯分布和伽马分布的矩变化是无缺陷的

IF 0.6 4区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Symbolic Computation Pub Date : 2025-05-19 DOI:10.1016/j.jsc.2025.102460

Oskar Henriksson , Kristian Ranestad , Lisa Seccia , Teresa Yu

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引用次数: 0

摘要

我们证明了逆高斯分布或反伽马分布的k-混合物的参数在前3k−1阶矩上是代数可识别的，并且在前3k+2阶矩上是理性可识别的。我们的证明是基于Terracini对缺陷曲面的分类，对矩变的交理论的仔细分析，以及最近由Massarenti-Mella关于割线变的有理可辨识的充分条件的结果。

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Moment varieties of the inverse Gaussian and gamma distributions are nondefective

We show that the parameters of a k-mixture of inverse Gaussian or gamma distributions are algebraically identifiable from the first

3 k - 1

moments, and rationally identifiable from the first

3 k + 2

moments. Our proofs are based on Terracini's classification of defective surfaces, careful analysis of the intersection theory of moment varieties, and a recent result on sufficient conditions for rational identifiability of secant varieties by Massarenti–Mella.

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来源期刊

Journal of Symbolic Computation 工程技术-计算机：理论方法

CiteScore

2.10

自引率

14.30%

发文量

审稿时长

142 days

期刊介绍： An international journal, the Journal of Symbolic Computation, founded by Bruno Buchberger in 1985, is directed to mathematicians and computer scientists who have a particular interest in symbolic computation. The journal provides a forum for research in the algorithmic treatment of all types of symbolic objects: objects in formal languages (terms, formulas, programs); algebraic objects (elements in basic number domains, polynomials, residue classes, etc.); and geometrical objects. It is the explicit goal of the journal to promote the integration of symbolic computation by establishing one common avenue of communication for researchers working in the different subareas. It is also important that the algorithmic achievements of these areas should be made available to the human problem-solver in integrated software systems for symbolic computation. To help this integration, the journal publishes invited tutorial surveys as well as Applications Letters and System Descriptions.