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Transformace náhodné veličiny s rozložením beta v důsledku zjemnění experimentální metody
Applications of Mathematics, Tome 15 (1970) no. 2, pp. 97-105
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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.
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.
DOI : 10.21136/AM.1970.103273
Classification : 62-20
Mots-clés : statistics 
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     author = {Pavl{\'\i}k, Milo\v{s}},
     title = {Transformace n\'ahodn\'e veli\v{c}iny s rozlo\v{z}en{\'\i}m beta v d\r{u}sledku zjemn\v{e}n{\'\i} experiment\'aln{\'\i} metody},
     journal = {Applications of Mathematics},
     pages = {97--105},
     year = {1970},
     volume = {15},
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Pavlík, Miloš. Transformace náhodné veličiny s rozložením beta v důsledku zjemnění experimentální metody. Applications of Mathematics, Tome 15 (1970) no. 2, pp. 97-105. doi: 10.21136/AM.1970.103273

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