Products and Quotients of Independent Random Variables
See also: Product distribution and Ratio distributionGiven two independent random variables U and V, each of which has a probability density function, the density of the product Y=UV and quotient Y=U/V can be computed by a change of variables.
Read more about this topic: Probability Density Function
Famous quotes containing the words products, independent, random and/or variables:
“Isn’t it odd that networks accept billions of dollars from advertisers to teach people to use products and then proclaim that children aren’t learning about violence from their steady diet of it on television!”
—Toni Liebman (20th century)
“Nevertheless, in the Lord woman is not independent of man or man independent of woman. For just as woman came from man, so man comes through woman; but all things come from God.”
—Bible: New Testament, 1 Corinthians 11:11.
In v. 9, Paul wrote “Neither was man created for woman, but woman for man.”
“There is a potential 4-6 percentage point net gain for the President [George Bush] by replacing Dan Quayle on the ticket with someone of neutral stature.”
—Mary Matalin, U.S. Republican political advisor, author, and James Carville b. 1946, U.S. Democratic political advisor, author. All’s Fair: Love, War, and Running for President, p. 205, Random House (1994)
“The variables are surprisingly few.... One can whip or be whipped; one can eat excrement or quaff urine; mouth and private part can be meet in this or that commerce. After which there is the gray of morning and the sour knowledge that things have remained fairly generally the same since man first met goat and woman.”
—George Steiner (b. 1929)