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Statistics

  

ProbabilityFunction

  

compute the probability function

 

Calling Sequence

Parameters

Description

Computation

Options

Examples

References

Calling Sequence

ProbabilityFunction(X, t, options)

Parameters

X

-

algebraic; random variable or distribution

t

-

algebraic; point (assumed to be an integer)

options

-

(optional) equation of the form numeric=value; specifies options for computing the probability function of a random variable

Description

• 

The ProbabilityFunction function computes the probability function of the specified discrete random variable at the specified point.

• 

The first parameter can be either a discrete distribution (see Statistics[Distribution]) or a discrete random variable

Computation

• 

By default, all computations involving random variables are performed symbolically (see option numeric below).

• 

For more information about computation in the Statistics package, see the Statistics[Computation] help page.

• 

For more information about computation in the Statistics package, see the Statistics[Computation] help page.

Options

  

The options argument can contain one or more of the options shown below. More information for some options is available in the Statistics[RandomVariables] help page.

• 

numeric=truefalse -- By default, the probability function is computed using exact arithmetic. To compute the probability function numerically, specify the numeric or numeric = true option.

• 

mainbranch - returns the main branch of the distribution only.

Examples

withStatistics:

Compute the probability function of the Geometric distribution with parameters p and q.

ProbabilityFunctionGeometric13,i

&lcub;0i<01323iotherwise

(1)

Use numeric parameters.

ProbabilityFunctionGeometric13&comma;5

32729

(2)

ProbabilityFunctionGeometric13&comma;5&comma;numeric

0.04389574760

(3)

References

  

Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.

See Also

Statistics

Statistics[Computation]

Statistics[Distributions]

Statistics[RandomVariables]