Carmen Sangüesa

Real inversion formulas with rates of convergence

Some classical real inversion formulas, such as those concerning Fourier, Laplace and Stieltjes transforms, are unified in a way which allows us to give rates of convergence. As illustration, the case of the Fourier transform is considered.

Upper Estimates in Direct Inequalities for Bernstein-Type Operators

We obtain explicit upper estimates in direct inequalities with respect to the usual sup-norm distance for Bernstein-type operators. Our approach combines analytical and probabilistic techniques based on representations of the operators in terms of stochastic processes. We illustrate our results by considering some classical families of operators, such as Weierstrass, Szasz, and Bernstein operators.

The DFR property for counting processes stopped at an independent random time

In the present paper we consider general counting processes stopped at a random time

Maintenance Policy for a System With Stochastically Dependent Failure Modes With Shock-Accumulation Effect

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Stochastic comparison of multivariate conditionally dependent mixtures

, independent of the process. Provided that

Negative ageing properties for counting processes arising in virtual age models

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Univariate and multivariate stochastic comparisons and ageing properties of the generalized Pólya process

has the decreasing failure rate (DFR) property, we give sufficient conditions on the arrival times so that the number of events occurring before

Uniform error bounds for a continuous approximation of non-negative random variables

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Stochastic comparisons and multivariate dependence for the epoch times of trend renewal processes

preserves the DFR property of

Preservation of ageing classes in deterioration models with independent increments

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