FindMaxValue[f, x] gives the value at a local maximum of f.FindMaxValue[f, {x, x_0}] gives the value at a local maximum of f, found by a search starting from the point x = ...

FindMinValue[f, x] gives the value at a local minimum of f.FindMinValue[f, {x, x_0}] gives the value at a local minimum of f, found by a search starting from the point x = ...

Bounded domain distributions naturally come up when random variables should only vary in a finite interval. Some distributions, like beta, occur in a variety of ways, ...

DiscreteShift[f, i] gives the discrete shift DiscreteShift[f(i), i] == f(i + 1). DiscreteShift[f, {i, n}] gives the multiple shift \[DiscreteShift]_i^n\ f.DiscreteShift[f, ...

FunctionExpand[expr] tries to expand out special and certain other functions in expr, when possible reducing compound arguments to simpler ones. FunctionExpand[expr, assum] ...

PolyLog[n, z] gives the polylogarithm function Li_n (z).PolyLog[n, p, z] gives the Nielsen generalized polylogarithm function S n, p (z).

Actuarial science is in some ways older than probability and statistics itself and was in many ways instrumental in the development of probability and statistics. One of the ...

All the functions FindMinimum, FindMaximum, and FindRoot take variable specifications of the same form. The function FindFit uses the same form for its parameter ...

ExponentialGeneratingFunction[expr, n, x] gives the exponential generating function in x for the sequence whose n\[Null]^th term is given by the expression ...

FullForm[expr] prints as the full form of expr, with no special syntax.