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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: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 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: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:scopusAbelian and Tauberian theorems for the Laplace transform of functions in several variables
ArticleAbstract: Using two kinds of multivariate regular variation we prove several Abel-Tauber theorems for the LaplPalabras claves:multivariate regular variation, Tauberian theorem, power series, multivariate renewal theoryAutores:Edward A.M. Omey, Willekens E.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:scopusNote on operators of Szász-Mirakyan type
ArticleAbstract:Palabras claves:Autores:Edward A.M. OmeyFuentes:scopusLocal limit theorems for shock models
ArticleAbstract: In many physical systems, failure occurs when the stress after shock n first exceed a critical levelPalabras claves:Extreme value theory, Local limit theory, Regular variation, Renewal theory, Shock modelsAutores:Edward A.M. Omey, Vesilo R.Fuentes:scopusJournal of Mathematical Science: Preface
OtherAbstract:Palabras claves:Autores:Edward A.M. Omey, Korolev V.Y., Mallor F.Fuentes:scopus