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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…