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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: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:scopusBivariate geometric distributions
ArticleAbstract: In this paper we analyze a bivariate geometric distribution with probabil- ity mass function, probabPalabras claves:Bivariate discrete distributions, Com- pound distributions, Geometric distribution, MARSHALL–Olkin exponential distributionAutores:Edward A.M. Omey, Minkova L.D.Fuentes: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 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 note on Blackwell's renewal theorem
Conference ObjectAbstract:Palabras claves:Autores:Edward A.M. Omey, Teugels J.Fuentes: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:scopusFunctions Bounded by Karamata Functions in ℝ<sup> D</sup>
ArticleAbstract: We introduce different types of multivariate regularly varying functions and define a new class of pPalabras claves:Autores:Edward A.M. Omey, Meitner CadenaFuentes:scopus