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Bayesian 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: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 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: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:scopusDomains of attraction and regular variation in IR<sup>d</sup>
ArticleAbstract: A general form for regular variation in IR2 is introduced and applied to domains of attraction of stPalabras claves:Abel-Tauber theorem, domains of attraction in IR d, Regular variation in IR dAutores:de Haan L., Edward A.M. Omey, Resnick S.Fuentes:scopusDomains of attraction of the random vector (X, X2) and applications
ArticleAbstract: Many statistics are based on functions of sample moments. Important examples are the sample variancePalabras claves:Domains of attraction, Non-central t-statistic, Regular variation, Sample coefficient of variation, Sample dispersionAutores:Edward A.M. OmeyFuentes:scopusNew results on slowly varying functions in the Zygmund sense
ArticleAbstract: Very recently Seneta [15] has provided a characterization of slowly varying functions L in the ZygmuPalabras claves:Class Γ (g) a, Convergence rates, Extreme value theory, Monotony in the zygmund sense, Self-neglecting function, Slowly varyingAutores:Edward A.M. Omey, Meitner CadenaFuentes:scopusHarmonic renewal measures and bivariate domains of attraction in fluctuation theory
ArticleAbstract: Each probability measure C on a first orthant is associated with a harmonic renewal measure G. SpeciPalabras claves:Autores:Edward A.M. Omey, Greenwood P.E., Teugels J.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:scopusOn the class gamma and related classes of functions
ArticleAbstract: The gamma class Γα(g) consists of positive and measurable functions that satisfy f(x + yg(x))/f(x) →Palabras claves:Beurling variation, Differential equations, Growth of functions, Local uniform convergence, Remainder terms, The class gammaAutores:Edward A.M. OmeyFuentes:scopus