ks.expo.logistic: Test of Kolmogorov-Smirnov for the Exponentiated Logistic...

In reliaR: Package for some probability distributions.

Description

The function ks.expo.logistic() gives the values for the KS test assuming a Exponentiated Logistic(EL) with shape parameter alpha and scale parameter beta. In addition, optionally, this function allows one to show a comparative graph between the empirical and theoretical cdfs for a specified data set.

Usage

ks.expo.logistic(x, alpha.est, beta.est, 
    alternative = c("less", "two.sided", "greater"), plot = FALSE, ...)

Arguments

x	vector of observations.
alpha.est	estimate of the parameter alpha
beta.est	estimate of the parameter beta
alternative	indicates the alternative hypothesis and must be one of "two.sided" (default), "less", or "greater".
plot	Logical; if TRUE, the cdf plot is provided.
...	additional arguments to be passed to the underlying plot function.

Details

The Kolmogorov-Smirnov test is a goodness-of-fit technique based on the maximum distance between the empirical and theoretical cdfs.

Value

The function ks.expo.logistic() carries out the KS test for the Exponentiated Logistic(EL)

References

Ali, M.M., Pal, M. and Woo, J. (2007). Some Exponentiated Distributions, The Korean Communications in Statistics, 14(1), 93-109.

Shirke, D.T., Kumbhar, R.R. and Kundu, D. (2005). Tolerance intervals for exponentiated scale family of distributions, Journal of Applied Statistics, 32, 1067-1074

See Also

pp.expo.logistic for PP plot and qq.expo.logistic for QQ plot

Examples

## Load data sets
data(dataset2)
## Maximum Likelihood(ML) Estimates of alpha & beta for the data(dataset2)
## Estimates of alpha & beta using 'maxLik' package
## alpha.est = 5.31302, beta.est = 139.04515

ks.expo.logistic(dataset2, 5.31302, 139.04515, alternative = "two.sided", plot = TRUE)

reliaR documentation built on May 1, 2019, 9:51 p.m.