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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:scopusA New Test for Convergence of Positive Series
ArticleAbstract: The paper provides a new test of convergence and divergence of positive series. In particular, it exPalabras claves:convergence/ divergence test, Karamata’s theorem, Partial Order, positive series, Rate of convergence, Regular variationAutores:Abramov V., Edward A.M. Omey, Meitner CadenaFuentes:scopusDomains of attraction of the random vector (X, X2) and applications
ArticleAbstract: Many statistics are based on functions of sample moments. Important examples are the sample variancePalabras claves:Domains of attraction, Non-central t-statistic, Regular variation, Sample coefficient of variation, Sample dispersionAutores:Edward A.M. OmeyFuentes:scopusOn a subclass of regularly varying functions
ArticleAbstract: In this paper we study properties of the classes of measurable functions f for which {A figure is prPalabras claves:Extreme value theory, Local limit theorem, O-regular variation, Regular variation, Subexponential distributionsAutores:Edward A.M. OmeyFuentes:scopusOn the order of functions at infinity
ArticleAbstract: We define a new class of positive and measurable functions in terms of their asymptotic behavior atPalabras claves:Karamata's Tauberian theorem, Karamata's theorem, Regular variation, Representation theoremsAutores:Edward A.M. Omey, Kratz M., Meitner CadenaFuentes:scopusMultivariate subexponential distributions and random sums of random vectors
ArticleAbstract: Let F(x) denote a distribution function in ℝ<sup>d</sup> and let F*<sup>n</sup>(x) denote the nth coPalabras claves:Random sum, Regular variation, Subexponential distributionAutores:Edward A.M. Omey, Mallor F., Santos J.Fuentes:scopusMultivariate weighted renewal functions
ArticleAbstract: Let (X, Y), (X<inf>1</inf>, Y<inf>1</inf>), (X<inf>2</inf>, Y<inf>2</inf>), ... denote independent pPalabras claves:Random vector, Regular variation, Renewal theory, Weighted renewal functionAutores:Edward A.M. Omey, Mallor F., Santos J.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:scopusIntuitive approximations for the renewal function
ArticleAbstract: It is hard to find explicit expressions for the renewal function U(x)=∑n=0∞F*n(x). Many researchersPalabras claves:Approximations, Regular variation, Renewal function, The class gammaAutores:Edward A.M. Omey, Mitov K.V.Fuentes:scopusIntuitive approximations in discrete renewal theory, Part 1: Regularly varying case
ArticleAbstract: It is usually impossible to find explicit expressions for the renewal sequence. This paper presentsPalabras claves:Approximations, Regular variation, Renewal sequenceAutores:Edward A.M. Omey, Van Gulck S.Fuentes:scopus