47 citations · 50 across the 12 of their papers we have counts for
15 papers
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…
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…
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…
On the rates of pointwise convergence for Bernstein polynomials
José A. Adell, Daniel Cárdenas-Morales, Antonio J. López-Moreno
Let be a real function defined on the interval which is constant on , and let be its associated th Bernstein polynomial. We prove that, fo…
-Stirling numbers associated to potential polynomials
José A. Adell, Beáta Bényi
We introduce the -Stirling numbers of the first and second kind, which are the coefficients of the potential polynomials when we express them in terms of the monomials and the f…
Strong Converse Inequalities for Bernstein Polynomials with Explicit Asymptotic Constants
José A. Adell, Daniel Cárdenas-Morales
We obtain strong converse inequalities for the Bernstein polynomials with explicit asymptotic constants. We give different estimation procedures in the central and non-central regi…