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The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

This paper contains inequalities for the expectations of permutation-invariant concave functions and Schur-concave functions of the partial sums of nonnegative exchangeable random variables. Two ...

The probability distribution of X, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given as x 0 1 2 3 4 p(x ...

Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

Abstract: This book introduces the basic concepts of set theory, measure theory, the axiomatic theory of probability, random variables and multidimensional random variables, functions of random ...

Abstract: The questions of research of the distribution laws of one-dimensional functions of a set of independent random variables are considered. The subsystem that allow for implementing the ...

First part of this article introduces the random functions and their relevant main features expressed in terms of stationary and ergodism concepts. The second part is devoted to autocorrelation and ...