Results 21 to 30 of about 164 (136)
A sharp inequality for Kendall’s τ and Spearman’s ρ of Extreme-Value Copulas
Dependence Modeling, 2018 We derive a new (lower) inequality between Kendall’s τ and Spearman’s ρ for two-dimensional Extreme-Value Copulas, show that this inequality is sharp in each point and conclude that the comonotonic and the product copula are the only Extreme-Value ...
Trutschnig Wolfgang, Mroz Thomas
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Frontiers in Applied Mathematics and Statistics, 2023 The composite length-biased exponential-Pareto (CLBEP) distribution is a new composite distribution that is introduced in this article. This model's probability density function, moments, and quantiles, among other statistical characteristics, are ...
Moulouk Halima Benchettah +2 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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On Beta Exponentiated Lomax-Exponential Distribution with applications
Scientific African, 2023 This study introduces a new Beta Exponentiated Lomax-Exponential Distribution (BELED) with special reference to its quantile function to enhance closed form solution of its parameters and make its proprietorial effect on data modeling quantifiable with ...
A.T. Sóyínká
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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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Dependent defaults and losses with factor copula models
Dependence Modeling, 2017 We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with paircopula constructions, and nest many standard ...
Ackerer Damien, Vatter Thibault
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A new extension of the two-parameter bathtub hazard shaped distribution
Scientific African, 2022 The need of new life time distributions that can be used to fit real data sets is crucial in lifetime data analysis. This article uses the two parameter bathtub (TPBT) and the generalized exponential (GE) distributions to propose a new family of lifetime
Ammar M. Sarhan, Abdelfattah Mustafa
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On the Exponentiated Generalized Alpha Power Transformation Technique and Associated Inference
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.A new technique for constructing families of distributions, called the exponentiated generalized alpha power transformation‐G (EGAPT‐G), is proposed. Our new method adds two additional shape parameters and allows one to choose any baseline distribution, which makes it significant.
Regent Retrospect Musekwa +2 more
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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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