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Keywords:
statistics
statistics
Summary:
The paper deals with the distribution of a random variate resulting from a transformation due to some cases of changing the qualitative experiment into a quantitative one. Suppose that upon the qualitative (quantitative) experiment a random variate $Y(X)$ is defined having the alternative (Poisson) distribution with parameter $Q(\Lambda = -In (1-Q))$; in the paper the distribution of $\Lambda$ and the marginal one of $X$ are dealt with, if $Q$ is a beta-distributed random variate. Frequency and characteristic functions and formulae for moments and cumulants are derived and methods are discussed of estimating both parameter values and the actual value of $\Lambda$ from experimental data.
References:
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[4] Слуцкий E. E. : Таблицы для вычисления непольной гамма-функции и функции вероятности. Москва,Издат. AHCCP, 1950. Cit. podle 5. Zbl 1157.76305
[5] Šor J. В.: Statistické metody analýzy a kontroly jakosti a spolehlivosti. Z ruštiny přel. L. Kubát. Praha, SNTL, 1965.
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