On some properties of one nonparametric estimate of poisson regression function

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY

Metrika Pub Date : 2024-03-01 DOI:10.1007/s00184-024-00955-3

P. Babilua, E. Nadaraya

引用次数: 0

Abstract

The paper considers the nonparametric Poisson regression problem with a regular equidistant design on the unit interval. The nonparametric estimation of the Poisson regression function is studied. The uniform consistency conditions are established and the limit theorems are proved for continuous functionals on \(C[a,1-a]\), \(0<a<\frac{1}{2}\) .

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关于泊松回归函数的一种非参数估计的一些特性

本文考虑的是单位区间上有规则等距设计的非参数泊松回归问题。研究了泊松回归函数的非参数估计。对于 \(C[a,1-a]\), \(0<a<\frac{1}{2}\) 上的连续函数，建立了统一一致性条件并证明了极限定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Metrika 数学-统计学与概率论

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Metrika is an international journal for theoretical and applied statistics. Metrika publishes original research papers in the field of mathematical statistics and statistical methods. Great importance is attached to new developments in theoretical statistics, statistical modeling and to actual innovative applicability of the proposed statistical methods and results. Topics of interest include, without being limited to, multivariate analysis, high dimensional statistics and nonparametric statistics; categorical data analysis and latent variable models; reliability, lifetime data analysis and statistics in engineering sciences.