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:
“All that is told of the sea has a fabulous sound to an inhabitant of the land, and all its products have a certain fabulous quality, as if they belonged to another planet, from seaweed to a sailors yarn, or a fish story. In this element the animal and vegetable kingdoms meet and are strangely mingled.”
—Henry David Thoreau (18171862)
“Men will say that in supporting their wives, in furnishing them with houses and food and clothes, they are giving the women as much money as they could ever hope to earn by any other profession. I grant it; but between the independent wage-earner and the one who is given his keep for his services is the difference between the free-born and the chattel.”
—Elizabeth M. Gilmer (18611951)
“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 (19061975)
“The variables of quantification, something, nothing, everything, range over our whole ontology, whatever it may be; and we are convicted of a particular ontological presupposition if, and only if, the alleged presuppositum has to be reckoned among the entities over which our variables range in order to render one of our affirmations true.”
—Willard Van Orman Quine (b. 1908)