Petre Babilua, Elizbar Nadaraya
On the One Nonparametric Estimate of Poisson Regression Function
Abstract. The limiting distribution of the integral square deviation of kernel-type nonparametric estimator of Poisson regression function is established. The test of the hypothesis testing about Poisson regression function is constructed. The question of consistency of the constructed test is studied. The power asymptotic of the constructed test is also studied for certain types of close alternatives.
Keywords: poisson regression function, power of the test, consistency, limiting distribution
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DOI: https://doi.org/10.54381/pci2023.03