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A Main Class of Integral Inequalities with Applications
ArticleAbstract: Abstract: In this paper, we define some integral transforms and obtain suitable bounds for them in oPalabras claves:error bounds, integral transforms, Ostrowski inequality, Ostrowski-Grüss inequality, quadrature rulesAutores:Dragomir S.S., Edward A.M. Omey, Masjed-Jamei M.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:scopusA Second Look at the Second Ratio Test
ArticleAbstract: This article examines a class of series convergence tests, known as the mth ratio tests, that were iPalabras claves:MSC: Primary 40A05, Secondary 26A12Autores:Edward A.M. Omey, Hammond C.N.B.Fuentes:scopusA branching process with immigration in varying environments
ArticleAbstract: Bienaymé-Galton-Watson branching processes with varying offspring variance and an immigration componPalabras claves:Branching process, Limit theorem, Probability for non-extinction, Varying environmentsAutores:Edward A.M. Omey, Mitov K.V.Fuentes: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:scopusA simple game to derive lognormal distribution
ArticleAbstract: In the paper we present a simple game that students can play in the classroom. The game can be usedPalabras claves:Autores:Edward A.M. Omey, Van Gulck S.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:scopusBayesian robustness modelling using the floor distribution
ArticleAbstract: In Bayesian analysis, the prior distribution and the likelihood can conflict, in the sense that theyPalabras claves:Bayesian robustness modelling, conflicting information, heavy-tailed distributions, O-regularly varying distributionsAutores:Andrade J.A.A., Aquino C.T.M., Edward A.M. OmeyFuentes:scopusAn Abelian theorem for a general class of Mellin-type integral transforms
ArticleAbstract:Palabras claves:Autores:Edward A.M. Omey, Embrechts P.Fuentes:scopus