A Pointwise Estimator for thek-Fold Convolution of a Distribution Function

DOI10.1080/03610920500201210zbMath1075.62022OpenAlexW1966731864MaRDI QIDQ5697392

Halil Aydoğdu

Publication date: 17 October 2005

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920500201210

zbMATH Keywords

convolutionrenewal processes\(V\)-statisticsempirical df

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Non-Markovian processes: estimation (62M09) Renewal theory (60K05)

Related Items (1)

Plug-in estimators for the mean value and variance functions in delayed renewal processes

Cites Work

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• Renewal Function and Interval Availability: A Numerical Monte-Carlo Study
• Approximation Theorems of Mathematical Statistics
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• On Obtaining Permutation Distributions in Polynomial Time
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• Numerical treatment of convolution integrals involving distributions with densities having singularities at the origin
• Some remarks on numerical convolution
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• A Numerical Algorithm for Recursively-Defined Convolution Integrals Involving Distribution Functions
• Laplace Transform Inversion Using Two-point Rational Approximants
• Nonparametric estimation of some quantities of interest from renewal theory
• MSE Comparison of Some Different Estimators of Entropy

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