A new proof, based on the duality theorem of linear programming, is given of a theorem of V. Strassen, which states essentially that the minimum distance between random variables with given ...
In the early development of probability theory, only discrete random variables (although not called random variables at the time) were considered. Isaac Newton (1643-1727) considered the idea of ...
Chance and uncertainty play a role in many aspects of life. A solid understanding of probability enhances critical thinking and empowers us to make well-informed decisions in everyday situations such ...
The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical ...
The Virginia Lottery offers a game called the New Year's Millionaire Raffle for which the top prize is one million dollars. There are 375,000 tickets sold, of which 508 are winners. There are three ...
The Annals of Mathematical Statistics, Vol. 43, No. 5 (Oct., 1972), pp. 1719-1726 (8 pages) Let {Xn, n ≥ 1} be a sequence of random variables such that for suitably ...
Overview An introduction to probability and statistics, with practical applications. First section of the course: fundamentals of probability, counting problems, discrete and continuous random ...
A courseware module that covers the fundamental concepts in probability theory and their implications in data science. Topics include probability, random variables, and Bayes' Theorem.
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