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)

    Good wine needs no bush,
    And perhaps products that people really want need no
    hard-sell or soft-sell TV push.
    Why not?
    Look at pot.
    Ogden Nash (1902–1971)

    The best way of learning to be an independent sovereign state is to be an independent sovereign state.
    Kwame Nkrumah (1900–1972)

    And catch the gleaming of a random light,
    That tells me that the ship I seek is passing, passing.
    Paul Laurence Dunbar (1872–1906)

    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)