mvf.musa: Mean value function for the Musa-Okumoto model

In Reliability: Functions for estimating parameters in software reliability models

Description

mvf.musa returns the mean value function for the Musa-Okumoto model.

Usage

mvf.musa(theta0, theta1, t)

Arguments

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

Details

This function gives the values of the mean value function for the Musa-Okumoto model, this is written as

μ(t) = θ_0 \log(θ_1 t + 1).

Value

The mean value function for the Musa-Okumoto model.

Author(s)

Andreas Wittmann andreas\[e-mail]

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

musa.okumoto, musa.okumoto.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)

musa.par1 <- musa.okumoto(t)$theta0
musa.par2 <- musa.okumoto(t)$theta1

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

Example output

  [1]  16.55091  40.99884  56.54635  52.61259  56.75399  27.49070  13.11624
  [8]  36.34890  36.34890  33.10221  58.91362  46.94269  52.01550  38.43056
 [15]  56.01086  53.59063  77.70964  57.25784  39.34942  56.65062  69.09098
 [22]  48.05932  65.58278  50.55171  72.20088  62.06588  28.62864  84.11075
 [29]  76.39424  33.10221  43.11127  19.21506   0.00000  26.23278  64.82206
 [36]  50.02099  61.79907  48.68238  73.15002  68.13838  54.74075  66.57240
 [43]  73.01896  66.20501  63.13767  62.89400  23.23228  52.31778  80.06014
 [50]  86.07399  59.74308  36.90432  65.13219  58.56500  70.20893  62.89400
 [57]  65.28428  41.37790  70.60257  79.02261   0.00000  65.08105  69.27271
 [64]  70.47279  84.87674  75.20454  28.62864  33.82602  74.89325  70.92097
 [71]  45.44832  58.11441  79.97213  67.73498  68.13838  74.89325  67.35990
 [78]  60.66787  80.23423  82.61569  72.83302  67.97865  89.19557  83.22515
 [85]  89.38444  80.68642  82.28070  78.35049  42.10171  80.79684  78.63378
 [92]  92.54158  95.31215  87.00789  80.44833  30.62314  66.48161  89.49768
 [99]  80.75555  86.79365  40.99884  59.33555  56.01086   0.00000  96.02374
[106]  85.11834  81.78522  78.23186  80.89263  65.72928  78.71584  90.12400
[113]  72.88644  71.13890  72.85976  57.45357  82.36533  81.84829  83.42525
[120]  37.43504  51.70537  73.78456 102.84850  55.10076  28.62864  83.30336
[127]  70.66693  79.67401 104.16243  96.80723  83.01022  77.31163 102.79638
[134]  84.25559  89.91459  99.36891

Reliability documentation built on May 1, 2019, 9:22 p.m.