Results 1 to 10 of about 96 (85)
Veterinary Dermatology, Volume 33, Issue 1, Page 17-e6, February 2022., 2022 Background – Because of the increased incidence of multidrug‐resistant (MDR) bacteria, the use of disinfectants over antibiotics has been encouraged. However, the interactions between disinfectants and host local immunity are poorly understood. Objective – To assess the effects of chlorhexidine digluconate (Chx), with and without selected host defence ...
Domenico Santoro +3 more
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Laplace transform of certain functions with applications
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 2, Page 99-102, 2000., 2000 The Laplace transform of the functions tν(1+t)β, Reν > −1, is expressed in terms of Whittaker functions. This expression is exploited to evaluate infinite integrals involving products of Bessel functions, powers, exponentials, and Whittaker functions. Some special cases of the result are discussed. It is also demonstrated that the famous identity∫0∞sin
M. Aslam Chaudhry
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A probablistic proof of the series representation of the MacDonald function with applications
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 463-466, 1998., 1993 A series representation of the Macdonald function is obtained using the properties of a probability density function and its moment generating function. Some applications of the result are discussed and an open problem is posed.
M. Aslam Chaudhry, Munir Ahmad
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On revelation transforms that characterize probability distributions
International Journal of Stochastic Analysis, Volume 6, Issue 4, Page 345-357, 1993., 1993 A characterization of exponential, geometric and of distributions with almost‐lack‐of‐memory property, based on the “revelation transform of probability distributions” and “relevation of random variables” is discussed. Known characterizations of the exponential distribution on the base of relevation transforms given by Grosswald et al. [4], and Lau and
S. Chukova, B. Dimitrov, J.-P. Dion
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Bounds for distribution functions of sums of squares and radial errors
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 561-569, 1991., 1991 Bounds are found for the distribution function of the sum of squares X2 + Y2 where X and Y are arbitrary continuous random variables. The techniques employed, which utilize copulas and their properties, show that the bounds are pointwise best‐possible when X and Y are symmetric about 0 and yield expressions which can be evaluated explicitly when X and ...
Roger B. Nelsen, Berthold Schweizer
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Stochastic orderings induced by star‐shaped functions
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 639-664, 1991., 1991 The non‐decreasing functions whicl are star‐shaped and supported above at each point of a non‐empty closed proper subset of the real line induce an ordering, on the class of distribution functions with finite first moments, that is strictly weaker than first degree stochastic dominance and strictly stronger than second degree stochastic dominance ...
Henry A. Krieger
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A generalization of the global limit theorems of R. P. Agnew
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 365-374, 1988., 1987 For distribution functions {Fn, n ≥ 0}, the relationship between the weak convergence of Fn to F0 and the convergence of ∫Rϕ(|Fn − F0|)dx to 0 is studied where ϕ is a nonnegative, nondecreasing function. Sufficient and, separately, necessary conditions are given for the latter convergence thereby generalizing the so‐called global limit theorems of ...
Andrew Rosalsky
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On the spectrum of a distribution function and on unique factorization
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 4, Page 721-728, 1982., 1982 The spectrum of a distribution function is related to the quasi‐analyticity of a class of functions {CM(j)}, where M(j) is a multisequence of positive numbers. For a regular multisequence, a result on the uniqueness of characteristic function decomposition is given.
T. Pham-Gia
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper introduces a special version of hypergeometric functions constructed within the bicomplex system, referred to as the bicomplex confluent hypergeometric functions (BCHFs). We highlight important properties, concentrating on their structure with bicomplex numbers, their conditions for convergence, and their differential representation.
Mohra Zayed +4 more
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Comparative Analysis and Practical Applications of Cubic Transmutations for the Pareto Distribution
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Transmutation is a technique for extending classical probability distributions in order to give them more flexibility. In this paper, we are interested in cubic transmutations of the Pareto distribution. We establish a general formula that unifies the three existing cubic transmuted Pareto (CTP) distributions and facilitates the derivation of three new
Edoh Katchekpele +3 more
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