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We identify stationary distributions of generalized Fleming-Viot processes with jump mechanisms specified by certain beta laws together with a parameter measure. Each of these distributions is obtaine...
Given a reference random variable, we study the solution of its Stein equation and obtain universal bounds on its first and second derivatives. We then extend the analysis of Nourdin and Peccati by bo...
Abstract: A class of probability distributions is characterized via equalities in law between two order statistics shifted by independent exponential variables. An explicit formula for the quintile fu...
Abstract: Obtaining a closed-form sampling distribution for the coalescent with recombination is a challenging problem. In the case of two loci, a new framework based on asymptotic series has recently...
Abstract: Let $X$ be a real valued L\'evy process that is in the domain of attraction of a stable law without centering with norming function $c.$ As an analogue of the random walk results in \cite{vw...
Abstract: For population genetics models with recombination, obtaining an exact, analytic sampling distribution has remained a challenging open problem for several decades. Recently, a new perspective...
Abstract: The Pareto distribution is a basic probability distribution which shows power-law behaviour and has various kinds of applications. In this paper, we introduce a class of probability measures...
Abstract: An interesting problem in statistical physics is the condensation of classical particles in droplets or clusters when the pair-interaction is given by a stable Lennard-Jones-type potential. ...
Abstract: We introduce kernel estimators for the semicircle law. In this first part of our general theory on the estimators, we prove the consistency and conduct simulation study to show the performan...
Abstract: Hoeffding has shown that tail bounds on the distribution for sampling from a finite population with replacement also apply to the corresponding cases of sampling without replacement. (A spec...
The Dirac chord method may be suitable in different areas of physics for the repre-sentation of certain six-dimensional integrals for a convex body using the probability density of the chord length di...
Many applications in the eld of statistics require Markov chain Monte Carlo methods. Determining appropriate starting values and run lengths can be both analytically and empirically challenging.
A subbundle of variable dimension inside the tangent bundle of a smooth man-ifold is called a smooth distribution if it is the pointwise span of a family of smooth vector fields. We prove that all suc...
In [Ka], Kaimanovich de ned an augmented rooted tree X for the d-dimensional Sierpinski gasket K. Let fZtg be the simple random walk on X,starting at the root ;.
We study sums of a random multiplicative function; this is an example,of number-theoretic interest, of sums of products of independent random variables (chaoses).

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