qq.burrX: Quantile versus quantile (QQ) plot for the BurrX distribution

In reliaR: Comprehensive Tools for some Probability Distributions

Quantile versus quantile (QQ) plot for the BurrX distribution

Description

The function qq.burrX() produces a QQ plot for the BurrX based on their MLE or any other estimate. Also, a line going through the first and the third quartile can be sketched.

Usage

qq.burrX(x, alpha.est, lambda.est, main = " ", line.qt = FALSE, ...)

Arguments

x	vector of observations
alpha.est	estimate of the parameter alpha
lambda.est	estimate of the parameter lambda
main	the title for the plot
line.qt	logical; if TRUE, a line going by the first and third quartile is sketched.
...	additional arguments to be passed to the underlying plot function.

Value

The function qq.burrX() carries out a QQ plot for the BurrX.

References

Kundu, D., and Raqab, M.Z. (2005). Generalized Rayleigh Distribution: Different Methods of Estimation, Computational Statistics and Data Analysis, 49, 187-200.

Surles, J.G., and Padgett, W.J. (2005). Some properties of a scaled Burr type X distribution, Journal of Statistical Planning and Inference, 128, 271-280.

Raqab, M.Z., and Kundu, D. (2006). Burr Type X distribution: revisited, Journal of Probability and Statistical Sciences, 4(2), 179-193.

See Also

pp.burrX for PP plot and ks.burrX function

Examples

## Load data sets
data(bearings)
## Maximum Likelihood(ML) Estimates of alpha & lambda for the data(bearings)
## Estimates of alpha & lambda using 'maxLik' package
## alpha.est = 1.1989515, lambda.est = 0.0130847

qq.burrX(bearings, 1.1989515, 0.0130847, main = " ", line.qt = FALSE)

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