On testing hypothesis of equality of two Poisson regression functions

Abstract The limiting distribution of the integral square deviation between two nonparametric estimators of Poisson regression functions is established. Based on this result, a test for the hypothesis of equality of two Poisson regression functions is constructed. The consistency of the proposed test is also studied.

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Publication Details

Journal
Georgian Mathematical Journal
Published
2026-05-11
DOI
https://doi.org/10.1515/gmj-2026-3002
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

On testing hypothesis of equality of two Poisson regression functions

Petre Babilua, Elizbar Nadaraya
Georgian Mathematical Journal
Statistical Distribution Estimation and Applications
article

On testing hypothesis of equality of two Poisson regression functions

Petre Babilua, Elizbar Nadaraya
article en

Abstract

Abstract The limiting distribution of the integral square deviation between two nonparametric estimators of Poisson regression functions is established. Based on this result, a test for the hypothesis of equality of two Poisson regression functions is constructed. The consistency of the proposed test is also studied.

Georgian Mathematical Journal
Tbilisi State University (GE)
Reduced inequalities
Openalex Percentile: Top 4%
Statistical Distribution Estimation and Applications
DOISourceOpenAlex
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