Independent Identically Distributed Continuous Random Variables
For n independent and identically distributed continuous random variables X1, X2, ..., Xn with cumulative distribution function G(x) and probability density function g(x) the range of the Xi is the range of a sample of size n from a population with distribution function G(x).
Read more about this topic: Range (statistics)
Famous quotes containing the words independent, identically, distributed, continuous, random and/or variables:
“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 (1861–1951)
“they were placed in a box
and painted identically blue
and thus passed their days
living happily ever after
a kind of coffin,
a kind of blue funk.”
—Anne Sexton (1928–1974)
“Taking food alone tends to make one hard and coarse. Those accustomed to it must lead a Spartan life if they are not to go downhill. Hermits have observed, if for only this reason, a frugal diet. For it is only in company that eating is done justice; food must be divided and distributed if it is to be well received.”
—Walter Benjamin (1892–1940)
“I can never get people to understand that poetry is the expression of excited passion, and that there is no such thing as a life of passion any more than a continuous earthquake, or an eternal fever. Besides, who would ever shave themselves in such a state?”
—George Gordon Noel Byron (1788–1824)
“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 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)