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Article(3)
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Publications de l'Institut Mathematique(2)
Brazilian Journal of Probability and Statistics(1)
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Matemáticas(2)
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scopus(3)
Approximations in bivariate renewal theory
ArticleAbstract: We construct approximations to the renewal function for a bivariate renewal process. Suppose (X, Y )Palabras claves:Approximation, Asymptotic distribution, Bivariate renewal process, Equilibrium distribution, Regular variation, Renewal functionAutores:Edward A.M. Omey, Mitov K.V., Vesilo R.Fuentes:scopusLocal limit theorems for shock models
ArticleAbstract: In many physical systems, failure occurs when the stress after shock n first exceed a critical levelPalabras claves:Extreme value theory, Local limit theory, Regular variation, Renewal theory, Shock modelsAutores:Edward A.M. Omey, Vesilo R.Fuentes:scopusThe difference between the product and the convolution product of distribution functions in R <inf>n</inf>
ArticleAbstract: Assume that X and Y are independent, nonnegative d-dimensional random vectors with distribution funcPalabras claves:O-regularly varying functions, Regular variation, Subexponential distribution, Sums of random vectorsAutores:Edward A.M. Omey, Vesilo R.Fuentes:scopus