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lmomco (version 2.3.6)

qualap: Quantile Function of the Laplace Distribution

Description

This function computes the quantiles of the Laplace distribution given parameters (ξ and α) computed by parlap. The quantile function is x(F)=ξ+α×log(2F), for F0.5, and x(F)=ξα×log(2(1F)), for F>0.5, where x(F) is the quantile for nonexceedance probability F, ξ is a location parameter, and α is a scale parameter.

Usage

qualap(f, para, paracheck=TRUE)

Arguments

f

Nonexceedance probability (0F1).

para

The parameters from parlap or vec2par.

paracheck

A logical controlling whether the parameters are checked for validity. Overriding of this check might be extremely important and needed for use of the quantile function in the context of TL-moments with nonzero trimming.

Value

Quantile value for for nonexceedance probability F.

References

Hosking, J.R.M., 1986, The theory of probability weighted moments: IBM Research Report RC12210, T.J. Watson Research Center, Yorktown Heights, New York.

See Also

cdflap, pdflap, lmomlap, parlap

Examples

Run this code
# NOT RUN {
  lmr <- lmoms(c(123,34,4,654,37,78))
  qualap(0.5,parlap(lmr))
# }

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