ks.moee: Test of Kolmogorov-Smirnov for the Marshall-Olkin Extended...

In reliaR: Comprehensive Tools for some Probability Distributions

Test of Kolmogorov-Smirnov for the Marshall-Olkin Extended Exponential(MOEE) distribution

Description

The function ks.moee() gives the values for the KS test assuming an GE with tilt parameter alpha and scale parameter lambda. 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.moee(x, alpha.est, lambda.est, 
    alternative = c("less", "two.sided", "greater"), plot = FALSE, ...)

Arguments

x	vector of observations.
alpha.est	estimate of the parameter alpha
lambda.est	estimate of the parameter lambda
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.moee() carries out the KS test for the MOEE

References

Marshall, A. W., Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika,84(3):641-652.

Marshall, A. W., Olkin, I.(2007). Life Distributions: Structure of Nonparametric, Semiparametric, and Parametric Families. Springer, New York.

See Also

pp.moee for PP plot and qq.moee for QQ plot

Examples

## Load dataset
data(stress)
## Estimates of alpha & lambda using 'maxLik' package
## alpha.est = 75.67982, lambda.est = 1.67576

ks.moee(stress, 75.67982, 1.67576, alternative = "two.sided", plot = TRUE)

reliaR documentation built on Nov. 5, 2025, 6:57 p.m.