On some properties of one nonparametric estimate of poisson regression function

P. Babilua () and E. Nadaraya ()
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P. Babilua: Ivane Javakhishvili Tbilisi State University
E. Nadaraya: Ivane Javakhishvili Tbilisi State University

Metrika: International Journal for Theoretical and Applied Statistics, 2025, vol. 88, issue 2, No 4, 215-229

Abstract: 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 $$C[a,1-a]$$ C [ a , 1 - a ] , $$0

Keywords: Poisson regression function; Consistency; Uniform convergence; Wiener process; 60F05; 62G05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00184-024-00955-3

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