Estimation par la Methode du Maximum de Vraisemblance des Courbes de Survie de Microorganismes Irradies

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Abstract
The problem considered in this paper is that of the estimation of survival curves of irradiated microorganisms. Two cases are considered; (a) the number of "targets" per organism is known a priori; the only unknown parameter is then the slope of the straight line relating the logarithm of the percentage of organisms surviving to the radiation dose; (b) the number of targets is unknown, and must therefore also be estimated. Estimation is by maximum likelihood, assuming Poisson variation: two examples are given. The problem of comparison, and the case when the assumption of Poisson variability is untenable, are discussed.

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