mvf.duane: Mean value function for the Duane model
In Reliability: Functions for estimating parameters in software reliability models

Description Usage Arguments Details Value Author(s) References See Also Examples

mvf.duane returns the mean value function for the Duane model.

1	mvf.duane(rho, theta, t)

`rho`	parameter value for `rho`
`theta`	parameter value for `theta`
`t`	time between failure data

This function gives the values of the mean value function for the Duane model, this is written as

μ(t) = ρ t^{θ}.

Further there is a verifying if the parameters rho and theta satisfy the assumptions for the Duane model. So the paramters rho and theta have to be larger than zero, in equations ρ > 0 and θ > 0.

The mean value function for the Duane model.

Andreas Wittmann andreas\_wittmann@gmx.de

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/

duane, duane.plot

# 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)

duane.par1 <- duane(t)$rho
duane.par2 <- duane(t)$theta

mvf.duane(duane.par1, duane.par2, t)