| Title:
|
Transformace náhodné veličiny s rozložením beta v důsledku zjemnění experimentální metody (Czech) |
| Title:
|
A transformation of a beta-distributed random variate as a result of minutized experimental method (English) |
| Author:
|
Pavlík, Miloš |
| Language:
|
Czech |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
15 |
| Issue:
|
2 |
| Year:
|
1970 |
| Pages:
|
97-105 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
statistics |
| MSC:
|
62-20 |
| idZBL:
|
Zbl 0187.41602 |
| idMR:
|
MR0256498 |
| DOI:
|
10.21136/AM.1970.103273 |
| . |
| Date available:
|
2008-05-20T17:47:18Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103273 |
| . |
| Reference:
|
[1] Fisz M.: Wahrscheinlichkeitsrechnung und mathematische Statistik.Z polštiny přel. J. Wloka. Berlin, VEB Deutscher Verlag der Wissenschaften, 1966. |
| Reference:
|
[2] Janko J.: Statistické tabulky.Praha, NČSAV, 1958. MR 0150924 |
| Reference:
|
[3] Pearson K.: Tables for the incomplete $\Gamma$-function.London, Cambridge University Press, 1922. Citováno podle 1. |
| Reference:
|
[4] Слуцкий E. E. : Таблицы для вычисления непольной гамма-функции и функции вероятности.Москва,Издат. AHCCP, 1950. Cit. podle 5. Zbl 1157.76305 |
| Reference:
|
[5] Šor J. В.: Statistické metody analýzy a kontroly jakosti a spolehlivosti.Z ruštiny přel. L. Kubát. Praha, SNTL, 1965. |
| Reference:
|
[6] : Таблицы логарифмической производной гамма-функции и её производных в комплексной области.Москва, Вычислительный центр AHCCP, 1965. Zbl 1099.01519 |
| . |
