[Abd75] Abdel-Hameed, M. A.: A Gamma Wear Process, IEEE Trans. Re-

liab., R-24, 152-154 (1975) [AS72] Abramowitz, M. and Stegun, I. Handbook of Mathematical Functions,

Dover Publications (1972) [Bat00] Bather, J.: Decision Theory: an Intoduction to Dynamic Programming and Sequential Decisions, Wiley (2000) [BS92] Bernardo, J.M. and Smith, A.F.M.: Bayesian Theory, John Wiley and

Sons, New York (1992) [Bet98] Betensky, R. A.: A Boundary Crossing Probability for the Bessel Process, Advances in Applied Probability, 30, 807-830 (1998).

[Bre68] Breiman, L. (1968) Probability, Addison-Wesley, Reading, Mass., 1968

[CF89] Chhikara, R.S. and Folks, J. L.: The Inverse Gaussian Distribution. Theory, Methodology and Applications, Marcel Dekker, New York (1989)

[Dag00] Dagg, R. Optimal Inspection and Maintenance for Stochastically Deteriorating Systems,PhD thesis, City University, London, (2000). [GJW99] Groeneboom, P. Jongbloed, G, Wellner, J. A.: Integrated Brownian Motion, Conditioned To Be Positive, The Annals of Probability, 27, No. 3, 1283-1303 (1999) [JK96] Jewell, N. P. and Kalbfleisch, J. D.: Marker Processes in Survival

Analysis, Lifetime Data Analysis, 2, 15-29 (1996) [Leh04] Lehmann, A.: Degradation Based Reliability Models with Imperfect Repair, International Workshop: "Longevity, Aging and Degradation Models in Reliability, Medicine and Biology", St. Petersburg, Russia, June 7-9, (2004)

[Leh01] Lehmann, A.: A Wiener process based model for failure and degradation data in dynamic environments. Dresdner Schriften zur Mathemat. Stochastik 4/2001 , 35-40 (2001) [McK63] McKean, H.P. Jr.: A winding problem for a resonator driven by a white noise. J. Math. Kyoto Univ. 2, 227-235. (1963) [New91] Newby, M.J.: Estimating of Paris-Erdogan law parameters and the influence of environmental factors on crack growth, Int. J. Fatigue, 13, 187-198 (1991)

[New98] Newby, M.J.: Analysing Crack Growth, Proc. ImechE. Part G -

Aero. Eng., 212, 157-166 (1998) [New04] Newby, M J and Dagg, R, Optimal Inspection and Perfect Repair,

IMA Journal of Management Mathematics, 15, 17 192, 2004 [PTVF92] Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P.: Numerical Recipes in C, 2nd Edition, Cambridge University Press, Cambridge, UK (1992) [0ks00] Oksendal, B.: Stochastic Differential Equations, Springer-Verlag, 2000

[RY99] Revuz, D., and Yor, M.: Continuous Martingales and Brownian Motion, Springer-Verlag; 3rd edition 1999 [RW94] Rogers, L. C. G. and Williams, D.: Diffusions, Markov Processes and Martingales, Volume 1: Foundations (2nd Edition), John Wiley and Sons,Chichester (1994) [Sob87] Sobczyk, K.: Stochastic Models for Fatigue Damage of Materials,

Adv. Appl. Prob., 19, 652-673 (1987) [SZ91] Stadje, W. and Zuckerman, D.: Optimal Maintenance Strategies for Repairable Systems with General Degree of Repair, J. Appl. Prob., 28, 384-396 (1991)

[SZ92] Stadje, W. and Zuckerman, D.: Optimal repair policies with general degree of repair in two maintenance models, Operations Research Letters, 11, 77-80 (1992) [Noo96] Van Noortwijk, J M, Optimal Maintenance Decisions for Hydraulic Structures Under isotropic Deteriroation, PhD Thesis, Technical University Delft, Netherlands(1996) [WCL98] Whitmore, G. A., Crowder, M. J. and Lawless, J. F.: Failure Inference from a Marker Process Based on a Bivariate Wiener Model, Lifetime Data Analysis, 4, 229-251 (1998)

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