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arXiv 1602.08307math.STmath.AGstat.TH
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关于三次和四次典型复曲面的极大似然估计的注记

A note on Maximum Likelihood Estimation for cubic and quartic canonical toric del Pezzo Surfaces

Dimitra Kosta

摘要:

本文重点研究了复曲面代数统计模型,它对应于复曲面Del Pezzo表面与杜瓦尔奇。本文给出了代数统计模型的最大似然估计的一个封闭形式,它对应于具有Du Val奇点的三次和四次复曲面Del Pezzo曲面。此外,我们还计算了ML度的一些复曲面Del Pezzo表面的程度小于或等于6,这等于在所有的情况下,但表面的程度,即五次与类型$\mathbb{A}_1$的两个点。

英文摘要:

This article focuses on the study of toric algebraic statistical models which correspond to toric Del Pezzo surfaces with Du Val singularities. A closed-form for the Maximum Likelihood Estimate of algebraic statistical models which correspond to cubic and quartic toric Del Pezzo surfaces with Du Val singular points is given. Also, we calculate the ML degrees of some toric Del Pezzo surfaces of degree less than or equal to six, which equals the degree of the surface in all the case but one, namely the quintic with two points of type $\mathbb{A}_1$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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