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A sequence s_n(x) is called a Sheffer sequence iff its generating function has the form sum_(k=0)^infty(s_k(x))/(k!)t^k=A(t)e^(xB(t)), (1) where A(t) = A_0+A_1t+A_2t^2+... ...

A variable which belongs to exactly one of a finite number of categories.

The number of degrees of freedom in a problem, distribution, etc., is the number of parameters which may be independently varied.

If a distribution has a single mode at mu_0, then P(|x-mu_0|>=lambdatau)<=4/(9lambda^2), where tau^2=sigma^2+(mu-mu_0)^2.

The head of a vector AB^-> is the endpoint B, i.e., the point at which the arrow is placed.

A set of statistical distributions having the same variance.

A polynomial with real positive coefficients and roots which are either negative or pairwise conjugate with negative real parts.

A square matrix which is not reducible is said to be irreducible.

Quantifies deviation from translational invariance by describing the distribution of gaps within a set at multiple scales. The more lacunar a set, the more heterogeneous the ...

A distribution with a high peak so that the kurtosis excess satisfies gamma_2>0.