Probability Density Function - Products and Quotients of Independent Random Variables

Products and Quotients of Independent Random Variables

See also: Product distribution and Ratio distribution

Given 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 and, 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)

    The measure discriminates definitely against products which make up what has been universally considered a program of safe farming. The bill upholds as ideals of American farming the men who grow cotton, corn, rice, swine, tobacco, or wheat and nothing else. These are to be given special favors at the expense of the farmer who has toiled for years to build up a constructive farming enterprise to include a variety of crops and livestock.
    Calvin Coolidge (1872–1933)

    So far as I am individually concerned, & independent of my pocket, it is my earnest desire to write those sort of books which are said to “fail.”
    Herman Melville (1819–1891)

    It is a secret from nobody that the famous random event is most likely to arise from those parts of the world where the old adage “There is no alternative to victory” retains a high degree of plausibility.
    Hannah Arendt (1906–1975)

    Science is feasible when the variables are few and can be enumerated; when their combinations are distinct and clear. We are tending toward the condition of science and aspiring to do it. The artist works out his own formulas; the interest of science lies in the art of making science.
    Paul Valéry (1871–1945)