gl.check.lambda.alt1: Checks whether the parameters provided constitute a valid generalised lambda distribution.

Description

A replacement to the gl.check.lambda function in gld package.

Usage

gl.check.lambda.alt1(l1, l2 = NULL, l3 = NULL, l4 = NULL, 
param = "fmkl", vect = FALSE)

Value

A logical value, TRUE or FALSE. TRUE indicates the parameters given is a valid probability distribution.

Arguments

l1: Lambda 1.
l2: Lambda 2.
l3: Lambda 3.
l4: Lambda 4.
param: "rs" or "fmkl" generalised lambda distribution.
vect: A logical, set this to TRUE if the parameters are given in the vector form (it turns off checking of the format of 'lambdas' and the other lambda arguments

Author

Steve Su

Details

This is a modified gl.check.lambda function in replace of gld library's gl.check.lambda function to allow for 5 parameters FMKL distributions and vector input of parameter values into this function.

References

Freimer, M., Mudholkar, G. S., Kollia, G. & Lin, C. T. (1988), A study of the generalized tukey lambda family, Communications in Statistics - Theory and Methods *17*, 3547-3567.

Karian, Z.E., Dudewicz, E.J., and McDonald, P. (1996), The extended generalized lambda distribution system for fitting distributions to data: history, completion of theory, tables, applications, the ``Final Word'' on Moment fits, Communications in Statistics - Simulation and Computation *25*, 611-642.

Ramberg, J. S. & Schmeiser, B. W. (1974), An approximate method for generating asymmetric random variables, Communications of the ACM *17*, 78-82.

Examples

Run this code

gl.check.lambda.alt1(c(0,1,.23,4.5),param="fmkl",vect=TRUE) 
## TRUE, Using vector input of parameter values.
gl.check.lambda.alt1(0,-1,.23,4.5,param="fmkl") ## FALSE 
gl.check.lambda.alt1(0,1,0.5,-0.5,param="rs") ## FALSE

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