mvf.ver.lin: Mean value function in the linear form for the...
In Reliability: Functions for estimating parameters in software reliability models

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

mvf.ver.lin returns the mean value function in the linear form for the Littlewood-Verall model.

1	mvf.ver.lin(theta0, theta1, rho, t)

`theta0`	parameter value for `theta0`
`theta1`	parameter value for `theta1`
`rho`	parameter value for `rho`
`t`	time between failure data

This function gives the values of the mean value function in the linear form for the Littlewood-Verall model, this is written as

μ(t) = \frac{1}{θ_1} √{θ_0^2 + 2 θ_1 t ρ}.

Further there is a verifying if the parameter theta1 satisfy the assumptions for the Littlewood-Verall model. So the paramter theta1 should not be equal zero, in equation θ_1 \neq 0.

The mean value function in the linear form for the Littlewood-Verall 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/

littlewood.verall, littlewood.verall.plot, mvf.ver.quad

# 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)

lit.par1 <- littlewood.verall(t, linear = TRUE)$theta0
lit.par2 <- littlewood.verall(t, linear = TRUE)$theta1
lit.par3 <- littlewood.verall(t, linear = TRUE)$rho

mvf.ver.lin(lit.par1, lit.par2, lit.par3, t)