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A limit theorem for discounted sums
ArticleAbstract: This note is concerned with the weak convergence of discounted sums in case the variance of the undePalabras claves:Autores:Edward A.M. OmeyFuentes:scopusA new markov binomial distribution
ArticleAbstract: In this article, we introduce a two-state homogeneous Markov chain and define a geometric distributiPalabras claves:Geometric distribution related to Markov chain, Homogeneous Markov chain, Inflated negative binomial distribution, Interrupted Markov chain, New binomial distributionAutores:Edward A.M. Omey, Minkova L.D.Fuentes:scopusA note on Blackwell's renewal theorem
Conference ObjectAbstract:Palabras claves:Autores:Edward A.M. Omey, Teugels J.Fuentes:scopusAsymptotics for Kendall’s renewal function
ArticleAbstract: An elementary renewal theorem and a Blackwell theorem provided by Jasiulis-Gołdyn et al. (2020) in aPalabras claves:Blackwell theorem, Convergence rates, Gamma class, Kendall random walk, Regularly varying function, Renewal theoryAutores:Edward A.M. Omey, Jasiulis-Gołdyn B.H., Meitner CadenaFuentes:scopusDomains of attraction and regular variation in IR<sup>d</sup>
ArticleAbstract: A general form for regular variation in IR2 is introduced and applied to domains of attraction of stPalabras claves:Abel-Tauber theorem, domains of attraction in IR d, Regular variation in IR dAutores:de Haan L., Edward A.M. Omey, Resnick S.Fuentes: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: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:scopusHarmonic renewal measures and bivariate domains of attraction in fluctuation theory
ArticleAbstract: Each probability measure C on a first orthant is associated with a harmonic renewal measure G. SpeciPalabras claves:Autores:Edward A.M. Omey, Greenwood P.E., Teugels J.Fuentes:scopusErratum: A note on Blackwell's Renewal theorem (Journal of Mathematical Sciences (February 2006) 132:5 (656-659))
OtherAbstract:Palabras claves:Autores:Edward A.M. Omey, Teugels J.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