Plotting the mean value function for the Littlewood-Verall model

Description

littlewood.verall.plot plots the mean value function for the Littlewood-Verall model and the raw data into one window.

Usage

littlewood.verall.plot(theta0, theta1, rho, t, linear = T, xlab = "time", 
    ylab = "Cumulated failures and estimated mean value function", 
    main = NULL)

Arguments

Details

This function gives a plot of the mean value function for the Littlewood-Verall model. Here the estimated parameter values for theta0, theta1 and theta, which are obtained by using littlewood.verall, can be put in. Internally the functions mvf.ver.lin or mvf.ver.quad are used to get the mean value function for the Littlewood-Verall model. This depends on the calibration, if the linear or the quadratic form of the mean value function for the Littlewood-Verall model should be used.

Value

A graph of the mean value function for the Littlewood-Verall model and of the raw data.

Author(s)

Andreas Wittmann andreas_wittmann@gmx.de

References

J.D. Musa, A. Iannino, and K. Okumoto. Software Reliability: Measurement, Prediction, Application. McGraw-Hill, 1987.

Michael R. Lyu. Handbook of Software Realibility Engineering. IEEE Computer Society Press, 1996. http://www.cse.cuhk.edu.hk/~lyu/book/reliability/

See Also

littlewood.verall, mvf.ver.lin, mvf.ver.quad

Examples

# time between-failure-data from DACS Software Reliability Dataset
# homepage, see system code 1. Number of failures is 136.
t <- c(3, 30, 113, 81, 115, 9, 2, 20, 20, 15, 138, 50, 77, 24,
       108, 88, 670, 120, 26, 114, 325, 55, 242, 68, 422, 180,
       10, 1146, 600, 15, 36, 4, 0, 8, 227, 65, 176, 58, 457,
       300, 97, 263, 452, 255, 197, 193, 6, 79, 816, 1351, 148,
       21, 233, 134, 357, 193, 236, 31, 369, 748, 0, 232, 330,
       365, 1222, 543, 10, 16, 529, 379, 44, 129, 810, 290, 300,
       529, 281, 160, 828, 1011, 445, 296, 1755, 1064, 1783, 
       860, 983, 707, 33, 868, 724, 2323, 2930, 1461, 843, 12,
       261, 1800, 865, 1435, 30, 143, 108, 0, 3110, 1247, 943,
       700, 875, 245, 729, 1897, 447, 386, 446, 122, 990, 948,
       1082, 22, 75, 482, 5509, 100, 10, 1071, 371, 790, 6150,
       3321, 1045, 648, 5485, 1160, 1864, 4116)
      
theta0 <- littlewood.verall(t, linear = TRUE)$theta0
theta1 <- littlewood.verall(t, linear = TRUE)$theta1
rho <- littlewood.verall(t, linear = TRUE)$rho
littlewood.verall.plot(theta0, theta1, rho, t, linear = TRUE, 
  xlab = "time (in seconds)", main = "Littlewood-Verall model (linear)")

## Not run: 
## theta0 <- littlewood.verall(t, linear = FALSE)$theta0
## theta1 <- littlewood.verall(t, linear = FALSE)$theta1
## rho <- littlewood.verall(t, linear = FALSE)$rho
## littlewood.verall.plot(theta0, theta1, rho, t, linear = FALSE, 
##   xlab = "time (in seconds)", main = "Littlewood-Verall modell (quadratic)")
## End(Not run)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(Reliability)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/Reliability/littlewood.verall.plot.Rd_%03d_medium.png", width=480, height=480)
> ### Name: littlewood.verall.plot
> ### Title: Plotting the mean value function for the Littlewood-Verall model
> ### Aliases: littlewood.verall.plot
> ### Keywords: models
> 
> ### ** Examples
> 
> # time between-failure-data from DACS Software Reliability Dataset
> # homepage, see system code 1. Number of failures is 136.
> t <- c(3, 30, 113, 81, 115, 9, 2, 20, 20, 15, 138, 50, 77, 24,
+        108, 88, 670, 120, 26, 114, 325, 55, 242, 68, 422, 180,
+        10, 1146, 600, 15, 36, 4, 0, 8, 227, 65, 176, 58, 457,
+        300, 97, 263, 452, 255, 197, 193, 6, 79, 816, 1351, 148,
+        21, 233, 134, 357, 193, 236, 31, 369, 748, 0, 232, 330,
+        365, 1222, 543, 10, 16, 529, 379, 44, 129, 810, 290, 300,
+        529, 281, 160, 828, 1011, 445, 296, 1755, 1064, 1783, 
+        860, 983, 707, 33, 868, 724, 2323, 2930, 1461, 843, 12,
+        261, 1800, 865, 1435, 30, 143, 108, 0, 3110, 1247, 943,
+        700, 875, 245, 729, 1897, 447, 386, 446, 122, 990, 948,
+        1082, 22, 75, 482, 5509, 100, 10, 1071, 371, 790, 6150,
+        3321, 1045, 648, 5485, 1160, 1864, 4116)
>       
> theta0 <- littlewood.verall(t, linear = TRUE)$theta0
> theta1 <- littlewood.verall(t, linear = TRUE)$theta1
> rho <- littlewood.verall(t, linear = TRUE)$rho
> littlewood.verall.plot(theta0, theta1, rho, t, linear = TRUE, 
+   xlab = "time (in seconds)", main = "Littlewood-Verall model (linear)")
> 
> ## Not run: 
> ##D ## theta0 <- littlewood.verall(t, linear = FALSE)$theta0
> ##D ## theta1 <- littlewood.verall(t, linear = FALSE)$theta1
> ##D ## rho <- littlewood.verall(t, linear = FALSE)$rho
> ##D ## littlewood.verall.plot(theta0, theta1, rho, t, linear = FALSE, 
> ##D ##   xlab = "time (in seconds)", main = "Littlewood-Verall modell (quadratic)")
> ## End(Not run)
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>