mxpw: Power Curves Construction for V chart and VSQ chart

In mxcc: Maxwell Control Charts

Power Curves Construction for V chart and VSQ chart

Description

This function computes the power curves for V or VSQ control charts based on the Maxwell distribution. It allows the user to analyze the performance of these charts under different sample sizes and shifts in the process parameter.

Usage

mxpw(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 calculates the power curves for either the V or VSQ control charts, depending on the specified type parameter. It computes the power values for different sample sizes and shift constants. The function uses the Gamma and Chi distribution functions for the V and VSQ charts, respectively.

Value

The function returns a plot of power curves for the specified control chart type

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

mxp

Examples

mxpw(n = c(5,8), alpha = 0.0027, type = "VSQ")

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