For a data set A the OrderStatistic function computes the jth order statistic of A. For a random variable X, the OrderStatistic commands returns a new random variable which has the same distribution as the jth order statistic of an n-element sample drawn from the same distribution as X. This new random variable is independent of other random variables, including random variables created by other calls to OrderStatistic.

The first parameter can be a data set (represented as an Array), a distribution (see Statistics[Distribution]), a random variable, or an algebraic expression involving random variables (see Statistics[RandomVariable]).

The second parameter j is the order. If j is a negative integer, then the th order statistic is calculated.

If the first parameter is a random variable or a distribution, the third parameter specifies the sample size.

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

All computations involving data 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.

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

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

ignore=truefalse -- This option controls how missing data is handled by the OrderStatistic command. Missing items are represented by undefined or Float(undefined). So, if ignore=false and A contains missing data, the OrderStatistic command will return undefined. If ignore=true all missing items in A will be ignored. The default value is false.

weights=Vector -- Data weights. The number of elements in the weights array must be equal to the number of elements in the original data sample. By default all elements in A are assigned weight .

The rv_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 order statistic is defined using exact arithmetic. To define the order statistic numerically, specify the numeric or numeric = true option.

Error, (in Statistics:-OrderStatistic) index out of range: 11

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