This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Eves, H., An Introduction to the History of Mathematics, Holt, Rinehart, and Winston, New York, 1976.
Dhillon, B.S., Advanced Design Concepts for Engineers, Technomic Publishing Company, Lancaster, Pennsylvania, 1998.
Regulinski, T.L., Askren, W.B., Mathematical Modeling of Human Performance Reliability, in Proceedings of the Annual Symposium on Reliability, 1969, pp. 5–11.
Askren, W.B., Regulinski, T.L., Quantifying Human Performance for Reliability Analysis of Systems, Human Factors, Vol. 11, 1969, pp. 393–396.
Regulinski, T.L., Askren, W.B., Stochastic Modeling of Human Performance Effectiveness Functions, Proceedings of the Annual Reliability and Maintainability Symposium, 1972, pp. 407–416.
Dhillon, B.S., Stochastic Models for Predicting Human Reliability, Microelectronics and Reliability, Vol. 25, 1982, pp. 491–496.
Dhillon, B.S., System Reliability Evaluation Models with Human Errors, IEEE Transactions on Reliability, Vol. 32, 1983, pp. 47–48.
Dhillon, B.S., Rayapati, S.N., Reliability Analysis of Non-Maintained Parallel Systems Subject to Hardware Failure and Human Error, Microelectronics and Reliability, Vol. 25, 1985, pp. 111–122.
Montgomery, D.C., Runger, G.C., Applied Statistics and Probability for Engineers, John Wiley and Sons, New York, 1999.
Lipschutz, S., Set Theory and Related Topics, McGraw Hill Book Company, New York, 1964.
Report No. NUREG-0492, Fault Tree Handbook, U.S., Nuclear Regulatory Commission, Washington, D.C., January 1981.
Lipschutz, S., Probability, McGraw Hill Book Company, New York, 1965.
Mann, N.R., Schafer, R.E., Singpurwalla, N.D., Methods for Statistical Analysis of Reliability and Life Data, John Wiley and Sons, New York, 1974.
Dhillon, B.S., Human Reliability with Human Factors, Pergamon Press, Inc., New York, 1986.
Oberhettinger, F., Badic, L., Tables of Laplace Transforms, Springer-Verlag, New York, 1973.
Dhillon, B.S., Mechanical Reliability: Theory, Models, and Applications, American Institute of Aeronautics and Astronautics, Washington, D.C., 1988.
Patel, J.K., Kapadia, C.H., Owen, D.B., Handbook of Statistical Distributions, Marcel Dekker, New York, 1976.
Davis, D.J., An Analysis of Some Failure Data, J. Am. Stat. Assoc., June 1952, pp. 113–150.
Weibull, W., A Statistical Distribution Function of Wide Applicability, J. Appl. Mech., Vol. 18, 1951, pp. 293–297.
Rights and permissions
Copyright information
© 2007 Springer-Verlag London Limited
About this chapter
Cite this chapter
(2007). Human Reliability and Error Basic Mathematical Concepts. In: Human Reliability and Error in Transportation Systems. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-84628-812-8_2
Download citation
DOI: https://doi.org/10.1007/978-1-84628-812-8_2
Publisher Name: Springer, London
Print ISBN: 978-1-84628-811-1
Online ISBN: 978-1-84628-812-8
eBook Packages: EngineeringEngineering (R0)