3 papers
math.ST2026
Explicit confidence bands and intervals for distribution functions and their derivatives via random Weierstrass-type operators
José A. Adell, J. T. Alcalá, C. Sangüesa
Classical kernel estimators of second order are interpreted in terms of random Weierstrass-type operators, particularly random Steklov operators. This leads us to obtain explicit n…
math.PR2025
Tight bounds on Poisson tails with applications to Szász-Mirakyan operators
José A. Adell, Daniel Cárdenas-Morales
We obtain tight bounds on Poisson tails which are easy to handle. A short proof based on the median of the gamma distribution is given. Numerical comparisons with other known estim…
math.ST2025
Random positive linear operators and their applications to nonparametric statistics
José A. Adell, J. T. Alcalá, C. Sangüesa
We outline a general procedure on how to apply random positive linear operators in nonparametric estimation. As a consequence, we give explicit confidence bands and intervals for a…