Appendix B: References

1) Aitchison, J. and J.A.C. Brown, The Lognormal Distribution, Cambridge University Press, New York, 1957.

2) Barlow, R. and L. Hunter, Optimum Preventive Maintenance Policies, Operations Research, Vol. 8, pp. 90-100, 1960.

3) Cramer, H., Mathematical Methods of Statistics, Princeton University Press, Princeton, NJ, 1946.

4) Davis, D.J., An Analysis of Some Failure Data, J. Am. Stat. Assoc., Vol. 47, 1952.

5) Dietrich, D., SIE 530 Engineering Statistics Lecture Notes, The University of Arizona, Tucson, Arizona.

6) Dudewicz, E.J. and S.N. Mishra, Modern Mathematical Statistics, John Wiley & Sons, Inc., New York, 1988.

7) Elsayed, E., Reliability Engineering, Addison Wesley, Reading, MA, 1996.

8) Hahn, G.J. and S.S. Shapiro, Statistical Models in Engineering, John Wiley & Sons, Inc., New York, 1967.

9) Kapur, K.C. and L.R. Lamberson, Reliability in Engineering Design, John Wiley & Sons, Inc., New York, 1977.

10) Kececioglu, D., Reliability Engineering Handbook, Prentice Hall, Inc., New Jersey, 1991.

11) Kececioglu, D., Maintainability, Availability, & Operational Readiness Engineering, Volume 1, Prentice Hall PTR, New Jersey, 1995.

12) Kijima, M. and Sumita, N., A useful generalization of renewal theory: counting process governed by nonnegative Markovian increments, Journal of Applied Probability, 23, 71--88, 1986.

13) Kijima, M., Some results for repairable systems with general repair, Journal of Applied Probability, 20, 851--859, 1989.

14) Knuth, D.E., The Art of Computer Programming: Volume 2 - Seminumerical Algorithms, Third Edition, Addison-Wesley, 1998.

15) L'Ecuyer, P., Communications of the ACM, Vol. 31, pp.724-774, 1988.

16) L'Ecuyer, P., Proceedings of the 2001 Winter Simulation Conference, pp.95-105, 2001.

17) Leemis, L.M., Reliability - Probabilistic Models and Statistical Methods, Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1995.

18) Lloyd, D.K. and M. Lipow, Reliability: Management, Methods, and Mathematics, Prentice Hall, Englewood Cliffs, New Jersey, 1962.

19) Mann, N.R., R.E. Schafer and N.D. Singpurwalla, Methods for Statistical Analysis of Reliability and Life Data, John Wiley & Sons, Inc., New York, 1974.

20) Meeker, W.Q. and L.A. Escobar, Statistical Methods for Reliability Data, John Wiley & Sons, Inc., New York, 1998.

21) Mettas, A., Reliability Allocation and Optimization for Complex Systems, Proceedings of the Annual Reliability & Maintainability Symposium, 2000.

22) Nelson, W., Applied Life Data Analysis, John Wiley & Sons, Inc., New York, 1982.

23) Peters, E.E., Fractal Market Analysis: Applying Chaos Theory to Investment & Economics, John Wiley & Sons, 1994.

24) Press, W.H., S.A. Teukolsky, W.T. Vetterling and B.R. Flannery, Numerical Recipes in C: The Art of Scientific Computing, Second Edition, Cambridge University Press, 1988.

25) ReliaSoft Corporation, Life Data Analysis Reference, ReliaSoft Publishing, Tucson, Arizona, 2005.

26) Tillman, F.A., C.L. Hwang and W. Kuo, Optimization of Systems Reliability, Marcel Dekker, Inc., 1980.

27) Weibull, W., A Statistical Representation of Fatigue Failure in Solids, Transactions on the Royal Institute of Technology, No. 27, Stockholm, 1949.

28) Weibull, W., A Statistical Distribution Function of Wide Applicability, Journal of Applied Mechanics, Vol. 18, pp. 293-297, 1951.