Summary
As their name implies predictive distributions are designed primarily to play a predictive role in statistical applications but they also have a role in a number of other applications, particularly when modelling is of a complex nature. The purpose of this paper is to review the state of the art, first recalling the basic structure of the prediction problem, then highlighting more recent research developments, and discussing in some detail complex modelling with predictive distributions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aitchison, J. (1975). Goodness of prediction fit. Biometrika, 62, 547–554.
Aitchison, J. (1977). A calibration problem in statistical diagnosis: The system transfer problem. Biometrika, 64, 461–472.
Aitchison, J. (1979a). A calibration problem in statistical diagnosis. The clinic amalgamation problem. Biometrika, 66, 357–366.
Aitchison, J. (1979b). Calibration and assay from imprecise data. Bulletin of the International Statistical Institute, 48, 9–12.
Aitchison, J. and Begg, C. B. (1976). Statistical diagnosis when basic cases are not classified with certainty. Biometrika, 63, 1–12.
Aitchison, J. and Dunsmore, I. R. (1975). Statistical Prediction Analysis. Cambridge University Press.
Aitchison, J., Habbema, J. D. F. and Kay, J. W. (1977). A critical comparison of two methods of statistical discrimination. Applied Statistics, 26, 15–25.
Aitchison, J. and Lauder, I. J. (1979). Statistical diagnosis from imprecise data. Biometrika, 66, 475–483.
Aitchison, J. and Shen, S. M. (1980). Logistic-normal distributions: Some properties and uses. Biometrika, 67, 261–272.
Begg, C. B. (1976). Statistical diagnosis. Ph.D. dissertation, University of Glasgow.
Boneva, L. I., Kendall, D. J. and Stefanov, I. (1971). Spline transformations: three diagnostic aids for the statistical data-analyst. Journal of the Royal Statistical Society, B, 33, 1–71.
Dawid, A. P. (1976). Properties of diagnostic data distributions. Biometrics, 32, 647–658.
Geisser, S. (1964). Posterior odds for multivariate normal classifications. Journal of the Royal Statistical Society, B, 26, 69–76.
Kullback, S. and Leibler, R. A. (1951). On information and sufficiency. Annals of Mathematical Statistics, 22, 525–540.
Lauder, I. J. (1978). Computational problems in predictive diagnosis. Compstat 1978, 186–192.
Lindley, D. V. (1965). Introduction to Probability and Statistics from a Bayesian Viewpoint. Cambridge University Press.
Moran, M. A. and Murphy, B. J. (1979). A closer look at two alternative methods of statistical discrimination. Applied Statistics, 28, 223–232.
Murray, G. D. (1977). A note on the estimation of probability density functions. Biometrika, 64, 150–152.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 D. Reidel Publishing Company
About this paper
Cite this paper
Aitchison, J. (1981). Statistical Predictive Distributions. In: Taillie, C., Patil, G.P., Baldessari, B.A. (eds) Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8549-0_1
Download citation
DOI: https://doi.org/10.1007/978-94-009-8549-0_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-8551-3
Online ISBN: 978-94-009-8549-0
eBook Packages: Springer Book Archive