Summary
Modelling is an interactive process involving the use of data to select a distribution as well as to examine its validity. The paper outlines the statistical requirements of such an approach, and indicates the extent to which these are available. Alternative classes of distribution from which a model could be chosen are described, and alternative methods of model selection considered.
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References
Atkinson, A.C. (1970). Journal of the Royal Statistical Society, series B, 32, 323–53 (with discussion).
Bates, G.E. (1955). Annals of Mathematical Statistics, 26, 705–20.
Bates, G.E. and Neyman, J. (1952). University of California Publications in Statistics, 1, 215–75.
Cox, D.R. (1961). Proceedings, 4th Berkeley Symposium, 1, 105–23.
Cox, D.R. (1962). Journal of the Royal Statistical Society, series B, 24, 406–24.
Edwards, A.W.F. (1971). Likelihood. Cambridge University Press, London.
Elderton, W.P. and Johnson, N.L. (1969). Systems of Frequency Curves. Cambridge University Press, London.
Gart, J.J. (1970). In G.P. Patil (ed.), Random Counts in Scientific Work, Vol 1, 171–91.
Hinz, P. and Gurland, J. (1967). Biometrika, 54, 555–66.
Johnson, N.L. and Kotz, S. ( 1969, 1970). Distributions in Statistics. Volume 1: Discrete Distributions, Volume 2: Continuous Distributions, I. Wiley, New York.
Kemp, A.W. and Kemp, C.D. (1975). In G.P. Patil, S. Kotz and J.K. Ord (eds.). Statistical Distributions in Scientific Work, Volume 1. Reidel, Dordrecht and Boston.
Kemp, C. D. and Kemp, A. W. (1956). Journal of the Royal Statistical Society, series B, 18, 202–11.
Ord, J.K. (1967a). Journal of the Royal Statistical Society, series A, 130, 232–8.
Ord, J.K. (1967b). Biometrika, 54, 649–56.
Ord, J.K. (1972). Families of Frequency Distributions. Griffin, London.
Patil, G.P. and Boswell, M.T. (1975). Chance mechanisms for
discrete distributions in scientific modelling. (This volume)
Patil, G.P., Boswell, M.T. and Friday, D. (1975). Chance
mechanisms in the computer generation of random variables. (This volume)
Ramberg, J. (1975). A probability distribution with application to Monte Carlo simulation studies. (This volume)
Shapiro, S.S. (1975). Application of statistical distributions to engineering problems. (This volume)
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Ord, K., Patil, G.P. (1975). Statistical Modelling: An Alternative View. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1845-6_1
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DOI: https://doi.org/10.1007/978-94-010-1845-6_1
Publisher Name: Springer, Dordrecht
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