A transformation of a beta-distributed random variate as a result of minutized experimental method

Miloš Pavlík

Aplikace matematiky (1970)

  • Volume: 15, Issue: 2, page 97-105
  • ISSN: 0862-7940

Abstract

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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 ( Λ = - I n ( 1 - Q ) ) ; in the paper the distribution of Λ 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 Λ from experimental data.

How to cite

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Pavlík, Miloš. "Transformace náhodné veličiny s rozložením beta v důsledku zjemnění experimentální metody." Aplikace matematiky 15.2 (1970): 97-105. <http://eudml.org/doc/14635>.

@article{Pavlík1970,
author = {Pavlík, Miloš},
journal = {Aplikace matematiky},
keywords = {statistics},
language = {cze},
number = {2},
pages = {97-105},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Transformace náhodné veličiny s rozložením beta v důsledku zjemnění experimentální metody},
url = {http://eudml.org/doc/14635},
volume = {15},
year = {1970},
}

TY - JOUR
AU - Pavlík, Miloš
TI - Transformace náhodné veličiny s rozložením beta v důsledku zjemnění experimentální metody
JO - Aplikace matematiky
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 2
SP - 97
EP - 105
LA - cze
KW - statistics
UR - http://eudml.org/doc/14635
ER -

References

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  5. Šor J. В., Statistické metody analýzy a kontroly jakosti a spolehlivosti, Z ruštiny přel. L. Kubát. Praha, SNTL, 1965. (1965) 
  6. Таблицы логарифмической производной гамма-функции и её производных в комплексной области, Москва, Вычислительный центр AHCCP, 1965. (1965) Zbl1099.01519

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