This paper examines further the problem of approximating the distribution of a continuous random variable based on three key percentiles, typically the median (50th percentile) and the 5% points (5th ...
Abstract: We establish the first known upper bound on the exact and Wyner's common information of n continuous random variables in terms of the dual total correlation between them (which is a ...
The reports aim to provide a clear understanding of key concepts in probability and statistics, making them accessible to learners at all levels. Each report breaks down complex topics into digestible ...
The University of Texas at Dallas, Richardson, USA. The standard two parameter Beta Distribution is the most widely used distribution for situations wherein a continuous random variable is confined to ...
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 main property of a discrete joint probability distribution can be stated as the sum of all non-zero probabilities is 1. The next line shows this as a formula. The marginal distribution of X can be ...
You have been introduced to one example of a discrete random variable, the binomial random variable. Recall that a discrete random variable can only assume a finite number of values. For example, the ...
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