MakeProcedure - Maple Help

Statistics

 MakeProcedure
 generate a procedure for calculating statistical quantities

 Calling Sequence MakeProcedure(stat, inp, params)

Parameters

 stat - name; statistical quantity to calculate inp - algebraic, rtable, 'randomvariable', 'sample'; primary input to procedure params - (optional) a sequence representing the arguments of the generated procedure options - (optional) equation(s) of the form option=value passed to the statistical quantity being used

Description

 • The MakeProcedure function generates a procedure that can be used to calculate various statistical quantities.
 • The first parameter is the name of a statistical quantity (for available statistical quantities see Statistics[DescriptiveStatistics]).
 • The second parameter is the primary input to this procedure.  If this parameter is an algebraic expression involving random variables or a distribution then the procedure will calculate the statistical quantity on the given expression.  Similarly, if the parameter is an rtable, the statistical quantity will be calculated on the provided dataset.  If 'randomvariable' is specified, the procedure will accept as its first parameter an expression involving random variables (type algebraic). Finally, if 'sample' is specified, the procedure will accept a dataset (type rtable) as its first parameter.
 • The third parameter specifies the arguments for the generated procedure.  If this parameter is specified, all arguments of the selected statistic must be specified as they would in a procedure definition.  Alternatively, parameters may be replaced with values that are instead used when performing the statistical operation.

Computation

 • For efficiency, all computations are performed in floating-point; therefore, all data provided must have type realcons and all returned solutions are floating-point, even if the problem is specified with exact values.

Examples

 > $\mathrm{with}\left(\mathrm{Statistics}\right):$

Generate a procedure for calculating the moment on an array.

 > $A≔\mathrm{Array}\left(\left[1.,2.,3.\right]\right):$
 > $M≔\mathrm{MakeProcedure}\left('\mathrm{Moment}',A\right):$
 > $M\left(4\right)$
 ${32.6666666666667}$ (1)

Generate a procedure for calculating the 4th moment of any sample.

 > $M≔\mathrm{MakeProcedure}\left('\mathrm{Moment}','\mathrm{sample}',4\right):$
 > $M\left(A\right)$
 ${32.6666666666667}$ (2)

Generate a procedure for calculating the moment of a Normal random variable.

 > $M≔\mathrm{MakeProcedure}\left('\mathrm{Moment}',\mathrm{Normal}\left(0,1\right),n::'\mathrm{posint}'\right):$
 > $M\left(4\right)$
 ${3.}$ (3)

Generate a procedure for calculating the 4th moment of any random variable.

 > $M≔\mathrm{MakeProcedure}\left('\mathrm{Moment}','\mathrm{randomvariable}',4\right):$
 > $M\left(\mathrm{RandomVariable}\left(\mathrm{Normal}\left(0,1\right)\right)\right)$
 ${3.}$ (4)