mxarl: Computation of ARL Curves for V chart and VSQ chart

In mxcc: Maxwell Control Charts

Computation of ARL Curves for V chart and VSQ chart

Description

It calculates the Average Run Length (ARL) for either the V or VSQ control charts, based on the specified sample size, shift constant, and false alarm probability. The user can choose between the two types of control charts.

Usage

mxarl(n = 1, delta = seq(1, 3, length.out = 100), alpha = 0.0027, type = "V")

Arguments

n	A numeric vector specifying the sample sizes. Default is 1.
delta	A numeric vector specifying the shift constants for the control chart. Default is seq(1, 3, length.out = 100).
alpha	A numeric value specifying the significance level (false alarm probability). Default is 0.0027.
type	A character string specifying the type of chart to be used. Can be either "V" chart or "VSQ". Default is "V".

Details

This function computes the Average Run Length (ARL) for both V and VSQ control charts by calculating the power and ARL values for the given sample sizes and shift constants

Value

A plot showing the ARL curves for the specified sample sizes and shift constants

Author(s)

Zahid Khan

References

Hossain, M.P., Omar, M.H. and Riaz, M. (2017) "New V control chart for the Maxwell distribution". Journal of Statistical Computation and Simulation, 87(3), pp.594-606. <doi:10.1080/00949655.2016.1222391>

Shah, F., Khan, Z., Aslam, M. and Kadry, S. (2021) "Statistical Development of the VSQ‐Control Chart for Extreme Data with an Application to the Carbon Fiber Industry". Mathematical Problems in Engineering, 2021(1), p.9766986. <doi:10.1155/2021/9766986>

See Also

mxpw

Examples

mxarl(n= c(5,10),  delta = seq(1, 3, length.out = 100), alpha = 0.0027, type = "V")

mxcc documentation built on April 10, 2026, 5:06 p.m.