Reliability (version 0.0-2)

mvf.duane: Mean value function for the Duane model

Description

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

Usage

mvf.duane(rho, theta, t)

Arguments

rho

parameter value for rho

theta

parameter value for theta

t

time between failure data

Value

• The mean value function for the Duane model.

Details

This function gives the values of the mean value function for the Duane model, this is written as $$\mu(t) = \rho t^{\theta}.$$ 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 $\rho > 0$ and $\theta > 0.$

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

duane, duane.plot

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)

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

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