noncentral

The noncentral F-distribution is used to find the power function of such a test.

Despite its noncentral location, it's wise to book on Friday and Saturday.

Unfortunately, both distributions are known in the literature as "the" noncentral hypergeometric distribution.

In particular, this approximation does not respect the asymmetry of the noncentral t-distribution.

A thorough explanation of the difference between the two noncentral hypergeometric distributions is obviously needed here.

The matter is complicated by the fact that there is more than one noncentral hypergeometric distribution.

In the study, both noncentral obesity and central obesity were associated with higher blood pressure and cholesterol levels.

While with a given population standard deviation , the same test question applies noncentral chi-squared distribution.

If then has a noncentral chi distribution with two degrees of freedom and noncentrality parameter .

This gives a slightly different distribution known as Wallenius' noncentral hypergeometric distribution.

The noncentral chi-squared distribution generalizes this to normal distributions with arbitrary mean and variance.

If either or both or the distribution is a noncentral bivariate chi distribution.

Fisher's noncentral hypergeometric distribution is obtained if the balls are sampled simultaneously or independently of each other.

The (Type I) probability density function for the noncentral beta distribution is:

Use Wallenius' noncentral hypergeometric distribution instead if items are sampled one by one with competition.

This random variable has a noncentral t-distribution with noncentrality parameter μ.

The number of red balls x that we get in this experiment is a random variable with Wallenius' noncentral hypergeometric distribution.

The distribution of the balls not taken can be called the complementary Wallenius' noncentral hypergeometric distribution.

A generalization of the (central) F-distribution is the noncentral F-distribution.

Algorithms for evaluating the noncentral beta distribution functions are given by Posten and Chattamvelli.

When , the noncentral beta distribution is equivalent to the (central) beta distribution.

A primer on the understanding, use, and calculation of confidence intervals that are based on central and noncentral distributions.

Note that the 2nth moment is the same as the nth moment of the noncentral chi-squared distribution with being replaced by .

The location/scale generalization of the central t-distribution is a different distribution from the noncentral t-distribution discussed in this article.

Many situations will give a distribution that lies somewhere between Wallenius' and Fisher's noncentral hypergeometric distributions.