Add to ORKGAbstract. LetZ and ~Z be two independent positive -stable random variables. It is known that (Z = ~Z) is distributed as the positive branch of a Cauchy random variable with drift. We show that the density of the power transformation (Z = ~Z) is hyperbolically completely monotone in the sense of Thorin and Bondesson if and only if ¬ 1=2 and | | =(1−): This clarifies a conjecture of Bondesson (1992) on positive stable densities
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We study properties of stable-like laws, which are solutions of the distributional equation where (N...
In Efron (1965), Efron studied the stochastic increasingness of the vector of independent random var...
In this note we consider random C (0) homeomorphism perturbations of a hyperbolic set of a C (1) dif...
L.Bondesson [1] conjectured that the density of a positive α-stable distribution is hyperbolically c...
We display several examples of generalized gamma convoluted and hyperbolically completely monotone r...
It has been known for some time that extremal $\alpha$ stable variables ($S_{\alpha}$) are Genera...
We investigate the problem raised by L. Bondesson, about the hyperbolic complete monotonicity of $\a...
We investigate certain analytical properties of the free α-stable densities on the line. We prove th...
In [23] Xia introduced a simple dynamical density basis for partially hyperbolic sets of volume pres...
Let Y be a standard Gamma(k) distributed random variable (rv), k > 0, and let X be an independent...
In [2] it is proved that mixtures of exponential distributions are infinitely divisible (id). In [3]...
We study classes of multivariate (bivariate) random variables with hyperbolically completely monoton...
Cette thèse donne de nouveaux résultats de lois infiniment divisibles. La résolution d'une conjectur...
This paper explores various distributional aspects of random variables defined as the ratio of two i...
We consider a class of probability measures $μ^{α}_{s,r}$ which have explicit Cauchy–Stieltjes trans...
We study properties of stable-like laws, which are solutions of the distributional equation where (N...
In Efron (1965), Efron studied the stochastic increasingness of the vector of independent random var...
In this note we consider random C (0) homeomorphism perturbations of a hyperbolic set of a C (1) dif...