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This is a preview. Log in through your library . Abstract A necessary condition is given for the convergence of distributions of the sums of a random number of independent random variables. This is ...

We consider a stationary sequence of associated real random variables and state conditions which guarantee that partial sums of this sequence, when properly normalized, converge in distribution to a ...

Sample space, Field and Probability Measure. Axiomatic definition of Probability. Bayes' theorem. Repeated trials. Continuous and discrete random variables and their probability distribution and ...

Introduction to probability, random processes and basic statistical methods to address the random nature of signals and systems that engineers analyze, characterize and apply in their designs. It ...

(1) PROF. FRECHET'S "Généralités" represents the first volume only of a treatise which, as a whole, is to form part of the very important "Traité du calcul des probabilités"edited by Prof. Borel. The ...

A LARGE part of statistical theory is based on the assumption that measurements are distributed in normal probability curves and that the variance is constant. The normal curve was discovered by de ...