Abstract: It is well known that the entropy H(X) of a discrete random variable X is always greater than or equal to the entropy H(f(X)) of a function f of X, with equality if and only if f is ...

This book is aimed at graduate students and researchers who are interested in the probability limit theory of random matrices and random partitions. It mainly consists of three parts. Part I is a ...

Addresses the topics of probability, random variables, discrete and continuous densities, expectation and variance, special distributions (binomial, Poisson, normal, etc.), moment generating functions ...

Abstract: Sums of exponentially distributed random variables (RVs) play important roles in performance analysis of various communication systems. Their logarithmic expectations can not only facilitate ...

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Hate speech is the vernacular of stochastic terrorism. There is no single definition but the UN defines it as any ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Many governments and tech companies are investing heavily in quantum technologies. In New Zealand, the recently announced ...

Small Medium Enterprise, Tangible Resources, Product Innovation Performance, Innovation, SME’s Age Share and Cite: Bakar, L. (2025) The Age-Resource Dynamic and Product Innovation Performance. Open ...

Palantir Technologies' U.S. Commercial and Government segments are driving exceptional revenue growth. Click here to find out ...

Science fiction sometimes uses quantum concepts to make the impossible seem plausible. But real-world developments will ...

Kalshi’s new same-game parlays may have brought in less than $2,000 in fees for the prediction market on their first day of ...