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The lead digit behavior of a large class of arithmetic sequences is de- termined by using results from the theory of uniform distribution mod I. Theory for triangular arrays is developed and appli...
Let G be a compact separable topological group. When does there exist a probability P such that P P = U ,where U is Haarmeasure and P + U? We show that such square roots exist if and only if G is ...
Gupta and Kundu (1999) defined the cumulative distribution function of the generalized exponential (GE). It has many properties that are quite similar to those of the gamma distribution. This paper de...
Uniform probability distributions on $\ell_p$ balls and spheres have been studied extensively and are known to behave like product measures in high dimensions. In this note we consider the uniform di...
We prove a version of Stam inequality for random variables taking values on the circle . Furthermore we prove that equality occurs only for the uniform distribution.
The Weyl criterion is shown in the terms of Price functions and Haar type functions. We define the so-called modified integrals of Price and Haar type functions and obtain the analogues of the criteri...

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