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Characterization of a general class of tail probability distributions
ArticleAbstract: Recently, new classes of positive and measurable functions, M(ρ) and M(±∞), have been defined in terPalabras claves:Karamata functions, Laplace transform, Probability distribution, Regularly varying function, Semi-exponential tail distributionAutores:Edward A.M. Omey, Kratz M., Meitner CadenaFuentes:scopusAsymptotic results for a run and cumulative mixed shock model
ArticleAbstract:Palabras claves:Autores:Edward A.M. Omey, Mallor F., Santos 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:scopusAsymptotics of convolution with the semi-regular-variation tail and its application to risk
ArticleAbstract: In this paper, according to a certain criterion, we divide the exponential distribution class into sPalabras claves:60F99, Asymptotics, Convolution, Primary 60E07, Risk model, Ruin probability, Semi-regular-variation tail, Stochastic returnsAutores:Cui Z., Edward A.M. Omey, Wang W., Wang Y.Fuentes:scopusBayesian robustness modelling using the O-regularly varying distributions
ArticleAbstract: The theory of robustness modelling is essentially based on heavy-tailed distributions, because longePalabras claves:conflicting information, heavy-tailed distributions, location and scale parameters, OutliersAutores:Andrade J.A.A., Edward A.M. OmeyFuentes: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:scopusA 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 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:scopus