GLDEX: fun.diag.ks.g.bimodal – R documentation

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fun.diag.ks.g.bimodal

Compute the simulated Kolmogorov-Smirnov tests for the bimodal dataset

Description

This function counts the number of times the p-value exceed 0.05 for the null hypothesis that the observations simulated from the fitted distribution is the same as the observations simulated from the bimodal data set.

Usage

fun.diag.ks.g.bimodal(result1, result2, prop1, prop2, data, no.test = 1000, 
len = floor(0.9 * length(data)), param1, param2, alpha = 0.05)

Arguments

`result1`	A vector representing the four parameters of the first generalised lambda distribution.
`result2`	A vector representing the four parameters of the second generalised lambda distribution.
`prop1`	Proportion of the first distribution fitted to the bimodal dataset.
`prop2`	Proportion of the second distribution fitted to the bimodal dataset.
`data`	The bimodal dataset.
`no.test`	Total number of tests required.
`len`	Number of data to sample.
`param1`	Type of first generalised lambda distribution, can be `"rs"` or `"fmkl"`.
`param2`	Type of second generalised lambda distribution, can be `"rs"` or `"fmkl"`.
`alpha`	Significance level of KS test.

Value

A numerical value representing number of times the p-value exceeds alpha.

Note

If there are ties, jittering is used in ks.gof.

Author(s)

Steve Su

References

Stephens, M. A. (1986). Tests based on EDF statistics. In Goodness- of-Fit Techniques. D'Agostino, R. B. and Stevens, M. A., eds. New York: Marcel Dekker.

Su, S. (2005). A Discretized Approach to Flexibly Fit Generalized Lambda Distributions to Data. Journal of Modern Applied Statistical Methods (November): 408-424.

Su (2007). Nmerical Maximum Log Likelihood Estimation for Generalized Lambda Distributions. Computational Statistics and Data Analysis: *51*, 8, 3983-3998.

Su (2007). Fitting Single and Mixture of Generalized Lambda Distributions to Data via Discretized and Maximum Likelihood Methods: GLDEX in R. Journal of Statistical Software: *21* 9.

Examples

## Fit the faithful[,1] data from the MASS library
# fit1<-fun.auto.bimodal.ml(faithful[,1],init1.sel="rprs",init2.sel="rmfmkl",
# init1=c(-1.5,1,5),init2=c(-0.25,1.5),leap1=3,leap2=3)
## Run diagnostic KS tests
# fun.diag.ks.g.bimodal(fit1$par[1:4],fit1$par[5:8],prop1=fit1$par[9],
# data=faithful[,1],param1="rs",param2="fmkl")

GLDEX

Fitting Single and Mixture of Generalised Lambda Distributions (RS and FMKL) using Various Methods

v2.0.0.7

GPL (>= 3)

Authors

Steve Su, with contributions from: Diethelm Wuertz, Martin Maechler and Rmetrics core team members for low discrepancy algorithm, Juha Karvanen for L moments codes, Robert King for gld C codes and starship codes, Benjamin Dean for corrections and input in ks.gof code and R core team for histsu function.

Initial release

2020-02-04