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ELEC_ENG 422: Random Processes in Communications and Control I

CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...
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Maximum of Partial Sums and an Invariance Principle for a Class of Weak Dependent Random Variables

Proceedings of the American Mathematical Society, Vol. 126, No. 4 (Apr., 1998), pp. 1181-1189 (9 pages) The aim of this paper is to investigate the properties of the maximum of partial sums for a ...
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Conditional Negative Dependence in Stochastic Ordering and Interchangeable Random Variables

This is a preview. Log in through your library . Abstract A simple proof is provided for the result that when a subset of order statistics is given, the conditional joint distribution of the ...
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Gaussian free field and Liouville quantum gravity

In the first part of the course, we will start with an introduction to the Gaussian free field (GFF), which is an object which has been at the heart of some recent groundbreaking developments in ...