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, independent, random and/or variables:

    We are the products of editing, rather than of authorship.
    George Wald (b. 1906)

    The dignity and stability of government in all its branches, the morals of the people, and every blessing of society, depend so much upon an upright and skilful administration of justice, that the judicial power ought to be distinct from both the legislative and executive, and independent upon both, that so it may be a check upon both, as both should be checks upon that.
    Thomas Jefferson (1743–1826)

    Man always made, and still makes, grotesque blunders in selecting and measuring forces, taken at random from the heap, but he never made a mistake in the value he set on the whole, which he symbolized as unity and worshipped as God. To this day, his attitude towards it has never changed, though science can no longer give to force a name.
    Henry Brooks Adams (1838–1918)

    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)