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We introduce a natural definition of Riesz measures and Wishart laws associated to an $\Omega$-positive (virtual) quadratic map, where $\Omega \subset \real^n$ is a regular open convex cone.
Kernel density estimation (KDE) is a popular statistical technique for estimating the underlying density distribution with minimal assumptions. Although they can be shown to achieve asymptotic estimat...
The beta-Bernoulli process provides a Bayesian nonparametric prior for models involving collections of binary-valued features.
Testing covariance structure is of significant interest in many areas of statistical analysis and construction of compressed sensing matrices is an important problem in signal processing. Motivated b...
An interesting line of research is the investigation of the laws of random variables known as Dirichlet means. However, there is not much information on interrelationships between different Dirichlet ...
On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence。
The domain of attraction of stable laws and extreme order statistics。
Anscombe laws of the iterated logarithm。
The paper deals with stochastically compact sequences of scalar modifications of powers of probability measures taken in the sense of a generalized convolution. Our aim is to give a characterization...
Remarks on the positivity of densities of stable laws
The Strong Law of Large Numbers due to Marcinkiewicz and Zygmund is carried over to simply connected step 2-nilpotent Lie groups. Moreover, for such groups, we prove analogues of the classical theo...
In certain cases partial sums of i.i.d. random variables with finite variance are better approximated by a sequence of stable distributions with indices a, +2 than by a normal distribution. We disc...
The decomposability property of Levy class L of probability distributions, on a Banach space, is extended to a family of stopping times associated with background driving Uvy processes (BDLP). As c...
The large deviation problem for sums of i.i.d. random vectors is considered. It is assumed that the underlying distribution is absolutely continuous and its density is of regular variation. An asymp...

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