ks.chen: Test of Kolmogorov-Smirnov for the Chen distribution

In reliaR: Comprehensive Tools for some Probability Distributions

Test of Kolmogorov-Smirnov for the Chen distribution

Description

The function ks.chen() gives the values for the KS test assuming the Chen distribution with shape parameter beta 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.chen(x, beta.est, lambda.est, 
    alternative = c("less", "two.sided", "greater"), plot = FALSE, ...)
 

Arguments

x	vector of observations.
beta.est	estimate of the parameter beta
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.chen() carries out the KS test for the Chen.

References

Castillo, E., Hadi, A.S., Balakrishnan, N. and Sarabia, J.M.(2004). Extreme Value and Related Models with Applications in Engineering and Science, John Wiley and Sons, New York.

Chen, Z.(2000). A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function, Statistics and Probability Letters, 49, 155-161.

Pham, H. (2003). Handbook of Reliability Engineering, Springer-Verlag.

See Also

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

Examples

## Load data sets
data(sys2)
## Estimates of beta & lambda using 'maxLik' package
## beta.est = 0.262282404, lambda.est = 0.007282371

ks.chen(sys2, 0.262282404, 0.007282371, alternative = "two.sided", plot = TRUE)  

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