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We give a characterization of the Dynkin elements of a simple Lie algebra. Namely, we prove that one-half of a Dynkin element is the unique point of minimal length in its $N$-region. In type $A_n$ thi...
This paper explores a Gaussian process emulator based approach for rapid Bayesian inference of contaminant source location and characteristics in an indoor environment. In the pre-event detection stag...
In this work we study the set size distribution estimation problem, where elements are randomly sampled from a collection of non-overlapping sets and we seek to recover the original set size distribut...
Gauss’ principle states that the maximum likelihood estimator of the parameter in a location family is the sample mean for all samples of all sample sizes if and only if the family is Gaussian. There ...
We construct integral and supremum type goodness-of-fit tests for the family of power distribution functions. Test statistics are functionals of U−empirical processes and are based on the classi...
Despite great interest in solving RNA secondary structures due to their impact on function, it remains an open problem to determine structure from sequence. Among experimental approaches, a promising ...
This paper gives a characterization of the elliptically contoured measures on infinite-dimeosional Banach spaces. The main results are Theorems 1 and 2 This characterization is not valid in the fin...
The paper is concerned with characterizations of the MarshalLOlkin exponential distribution based on an integrated Iack of memory equation.
We provide a characterization of the bivariate Wishart and normal-Wishart distributions. Assume that 2 = {xi, x2) has a non-singular bivariate normal pdf f (2) = N@, W) with unknown mean vector fi ...
Sign-symmetric Liouvillstype distributions on n-dimensional space are characterized by certain (n- 1)-dimensional distribution of quotients in a special form.
The limiting distribution m of the normalized number of key comparisons required by the Quicksort sorting algorithm is known to be the unique fixed point of a certain distributional transformation T -...
We study the dynamical properties of the Brownian diffusions having σ Id as diffusion coefficient matrix and b=∇U as drift vector. We characterize this class through the equality D+2=D-2, where ...
Let $T$ be a random field weakly invariant under the action of a compact group $G$. We give conditions ensuring that independence of the random Fourier coefficients is equivalent to Gaussianity. As a ...
We show that a slight modification of a theorem of Ruzmaikina and Aizenman on competing particle systems on the real line leads to a characterization of Poisson-Dirichlet distributions PD(α,0). Precis...

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