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Applications of renewal theory in analysis of the free-replacement warranty. (English) Zbl 0462.90034

MSC:
90B25 Reliability, availability, maintenance, inspection in operations research
60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.)
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[1] and , Mathematical Theory of Reliability (John Wiley and Sons, Inc., New York, N.Y., 1965).
[2] and , Statistical Theory of Reliability and Life Testing, Probability Models (Holt, Rinehart and Winston, Inc., New York, N.Y., 1975).
[3] , and , ”Renewal Tables: Tables of Functions Arising in Renewal Theory,” technical report, School of Business Administration, University of Southern California, to appear (1981).
[4] ”Mixtures of Discrete Distributions,” in Classical and Contagious Discrete Distributions, Editor (Statistical Publishing Society, Calcutta, India, 1965, distributed by Pergamon Press).
[5] ”Distributions, Statistical. IV. Mixtures of Distributions,” in International Encyclopedia of the Social Sciences, Vol. IV Editor (Crowell Collier and MacMillan, Inc., New York, N.Y., 1968).
[6] Blischke, Naval Research Logistics Quarterly 22 pp 681– (1975)
[7] and , ”Application of Nonparametric Methods in the Statistical and Economic Analysis of Warranties,” in The Theory and Applications of Reliability, with Emphasis on Bayesian and Nonparametric Methods, Vol. II, and , Editors (Academic Press, Inc., New York, N.Y., 1977).
[8] ”The Moments of Forward Recurrence Time,” submitted for publication. (Copies of this paper may be obtained by writing Dr. R. Coleman, Math. Dept., Imperial College, London SW7 2BZ, England.)
[9] Renewal Theory (Methuen and Co., Ltd., London, 1962). · Zbl 0103.11504
[10] An Introduction to Probability Theory and Its Applications, Vol. II (John Wiley and Sons, Inc., New York, N.Y., 1966).
[11] ”The Numerical Computation of Renewal Functions,” Masters Thesis, University of Texas at Austin (1972).
[12] Lomnicki, Biometrika 53 pp 375– (1966) · Zbl 0139.34402 · doi:10.1093/biomet/53.3-4.375
[13] Applied Probability Models with Optimization Applications (Holden-Day, Inc., San Francisco, CA, 1970). · Zbl 0213.19101
[14] Smith, Journal of the Royal Statistical Society 20B pp 243– (1958)
[15] Smith, Technometrics 5 pp 393– (1963)
[16] ”Renewal Functions for Gamma and Weibull Distributions with Increasing Hazard Rate,” Technical Paper RAC-TP-329, Research Analysis Corp., McLean, VA (1968).
[17] ”Weibull Renewal Analysis,” Proceedings of the Third Annual Aerospace Reliability and Maintainability Conference, 639–657 (Society of Automotive Engineers, New York, N.Y., 1964).
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