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 ...

Colorblindness is caused by a recessive gene on the X chromosome. Since men have only one X chromosome, if a man carries the colorblindness allele (gene form), he will have the trait. Women have two X ...

In probability theory and statistics, the moment-generating function of a real-valued random variable is an alternative specification of its probability distribution. Thus, it provides the basis of an ...

Abstract: Uncertainty exists in the engineering practices widely. Since a multidimensional integration problem should be dealt with during the process of reliability-based analysis and design, it is ...

Julie Young is an experienced financial writer and editor. She specializes in financial analysis in capital planning and investment management. Suzanne is a content marketer, writer, and fact-checker.

This is a shell script to generate Cumulative Distributions with three lines of codes. The Cumulative Distribution Function (CDF) of a random variable X refers to the probability that X will take a ...