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THE DISTRIBUTION OF LEADING DIGITS AND UNIFORM DISTRIBUTION MOD
Arithmetic sequence theory triangular array coefficient of letters
2015/7/15
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...
ON SQUARE ROOTS OF THE UNIFORM DISTRIBUTION ON COMPACT GROUPS
Separate topology group probability quaternion group organization properties
2015/7/14
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 ...
Estimation of the parameters of the generalized exponential distribution in the presence of one outlier generated from uniform distribution
Generalized exponential distribution uniform distribution
2010/9/26
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...
A note about the uniform distribution on the intersection of a simplex and a sphere
uniform distribution sphere
2010/11/23
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...
A Characterization of the Uniform Distribution on the Circle by Stam Inequality
Fisher information Stam inequality
2010/1/25
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.
Price and Haar Type Functions and Uniform Distribution of Sequences
Uniform distribution of sequences Price and Haar type functions Weyl criterion Inequalities of LeVeque and Erdos-Turan Formula of Koksma
2008/6/27
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...