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ORDER2PARENT (version 1.0)

parentcdf: Transform CDF of Order Statistics to Its Parent CDF

Description

Using the well relationship between the cdf of order statistic and the cdf of parent distribution, this function can transform the the cdf of order statistic to the corresponding parent cdf.

Usage

parentcdf(F.order, k, m)

Arguments

F.order
CDF of order statistic, either a scalar or a vector.
k
the rank of the order statistic
m
the size of the order statistic

Value

The corresponding parent distribution.

Details

Use the well known relationship (David and Nagaraja, 2003) between the cdf of order statistic and the parent distribution, parentcdf will return the corresponding parent distribution.

References

David, H.A., and Nagaraja, H.N. (2003): Order Statistics, Third Edition. New York: Wiley.