Summary
Part I presents a discussion of the problem of identifiability of mixtures and the problem of damaged observations, arising in toxicology. Three models — Poisson, binomial and negative binomial are discussed in this context. Further, these three distributions are characterised by a condition, akin to the Rao- Rubin condition.
In Part II, a bivariate discrete model is proposed, in order to study the frequency of side-effects of two kinds, recorded during a short-term clinical trial on a certain drug.
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References
Aczel, J. (1966). Lectures on Functional Equations and Their Applications. Academic Press, New York and London.
Aczel, J. (1972). Journal of Applied Probability, 9, 852–56.
Anscombe, F.J. (1949). Annals of Applied Biology, 36, 203–05.
Beall, G. and Rescia, R.R. (1953). Biometrics, 9, 354–86.
Finney, D.J. (1971). Probit Analysis. Third edition, Cambridge University Press, Cambridge.
Holgate, P. (1966). Biometrika, 53, 241–45.
Johnson, N.L. and Kotz, S. (1969). Discrete Distributions. Houghton Mifflin, Boston.
Patil, G.P. and Bildikar (Talwalker) Sheela (1966). Proceedings of the Cambridge Philosophical Society, 62, 485–94.
Patil, G.P. and Ratnaparkhi, M.V. (1975). In Statistical Distributions in Scientific Work. Vol.3: Characterizations and Applications. Patil, G.P., Kotz, S. and Ord, J.K. (eds. ). Dordrecht and Boston.
Rao, C. R. and Rubin, H. (1964). Sankhya, series A, 26, 295–97.
Saracci, R. (1970). Proceedings of the European Society for the Study of Drug Toxicity, 11,
Wadley, F.M. (1949). Annals of Applied Biology, 36, 196–202.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Talwalker, S. (1975). Models in Medicine and Toxicology. 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_19
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DOI: https://doi.org/10.1007/978-94-010-1845-6_19
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