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A 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:scopusApproximations 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:scopusDomains of attraction of the real random vector (x,x<sup>2</sup>) and applications
ArticleAbstract: Many statistics are based on functions of sample moments. Important examples are the sample variancePalabras claves:Autores:Edward A.M. Omey, Van Gulck S.Fuentes:scopusOn the class gamma and related classes of functions
ArticleAbstract: The gamma class Γα(g) consists of positive and measurable functions that satisfy f(x + yg(x))/f(x) →Palabras claves:Beurling variation, Differential equations, Growth of functions, Local uniform convergence, Remainder terms, The class gammaAutores:Edward A.M. OmeyFuentes:scopusSingles in a Markov chain
ArticleAbstract: Let {Xi, i ≥ 1} denote a sequence of variables that take values in {0, 1} and suppose that the sequePalabras claves:Autores:Edward A.M. Omey, Van Gulck S.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