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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: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:scopusAn Abelian theorem for a general class of Mellin-type integral transforms
ArticleAbstract:Palabras claves:Autores:Edward A.M. Omey, Embrechts P.Fuentes:scopusDomains of attraction and regular variation in IRd
ArticleAbstract: A general form for regular variation in IR<sup>2</sup> is introduced and applied to domains of attraPalabras claves:Abel-Tauber theorem, domains of attraction in IR d, domains of attraction in IRd, Regular variation in IR d, Regular variation in IRdAutores:de Haan L., Edward A.M. Omey, Resnick S.Fuentes:scopusEstimating the ratio of means
ArticleAbstract: Confidence intervals for ratio of means for large paired and unpaired samples with finite variance,Palabras claves:confidence interval, Cramér-Wold device, Large sample, Ratio of means, Stable distributionAutores:Edward A.M. Omey, Meitner CadenaFuentes:scopusSecond-order subexponential sequences and the asymptotic behavior of their de pril transform
ArticleAbstract: Suppose that {f(w), n ∈ N<inf>0</inf>} is a sequence of positive real numbers and suppose that the sPalabras claves:De Pril transform, Harmonic renewal sequence, O-regular variation, Random walk, Subexponential sequencesAutores:Baltrūnas A., Edward A.M. OmeyFuentes:scopusShocks, runs and random sums
ArticleAbstract: In this paper we study random variables related to a shock reliability model. Our models can be usedPalabras claves:Random sums, Regular variation, reliability, Shock modelAutores:Edward A.M. Omey, Mallor F.Fuentes:scopusRandom sums of random variables and vectors: Including infinite means and unequal length sums
ArticleAbstract: Let {X, X<inf>i</inf>, i = 1, 2, . . . } be independent nonnegative random variables with common disPalabras claves:Dependence, Infinite mean, O-regular variation, Random sum, Regular variation, Subexponential distributionAutores:Edward A.M. Omey, Vesilo R.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:scopusOn Functions Bounded by Karamata Functions
ArticleAbstract: We define a new class of positive and measurable functions that are bounded by regularly varying funPalabras claves:Autores:Edward A.M. Omey, Kratz M., Meitner CadenaFuentes:scopus