| Title:
|
Some statistical aspects of the estimation of parameters of a linear conform transformation (English) |
| Author:
|
Kubáček, Lubomír |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
15 |
| Issue:
|
3 |
| Year:
|
1970 |
| Pages:
|
190-206 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper relations are derived which make it possible to calculate an effective estimate of parameters of a linear conform transformation $T$ and to evaluate estimates of some functions of those parameters. Followong assumptions are considered> 1. Coordinates of the so-called identity points $P_i;i=1,\ldots, N;N>2$, are given. 2. Coordinates of the points $T(P_i), i=1,\ldots, N$ are estimated by the realization of the random vector $Y$ with $2N$ components. The vector $Y$ has a nondiagonal covariance matrix (which means joint determination of the coordinates by indirect measurement). () |
| MSC:
|
62H12 |
| MSC:
|
62J05 |
| idZBL:
|
Zbl 0207.49501 |
| idMR:
|
MR0261753 |
| DOI:
|
10.21136/AM.1970.103285 |
| . |
| Date available:
|
2008-05-20T17:47:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103285 |
| . |
| Reference:
|
[1] Андерсон Т.: Введение в многомерный статистический анализ.Госиздат физико-математической литературы, Москва 1963 (Transl. f. Engl. Anderson Т.: An introduction to multivariate statistical analysis, New York, John Wiley and sons). Zbl 1145.93303 |
| Reference:
|
[2] Барк Л. С., Большее Л. H., Кузнецов П. И., Черенков А. П.: Таблицы распределения Релея-Райса.Вычислительный центр АН СССР, Москва 1964. Zbl 1117.65300 |
| Reference:
|
[3] Cramer H.: Metody matematyczne w statystce.Państwowe wydawnictwo naukowe, Warszawa 1958. |
| Reference:
|
[4] Dwyer P. S., Macphail M. S.: Symbolic matrix derivatives.The annals of mathematical statistics, Volume XIX, pp. 517-534 (1948). Zbl 0032.00103, MR 0027254 |
| Reference:
|
[5] Jarník V.: Diferenciální počet II.NČSAV, Praha 1953. |
| Reference:
|
[6] Kendall M. G., Stuart A.: The advanced theory of statistics.Volume 2, Charles Griffin, London 1961. |
| Reference:
|
[7] Kořínek V.: Základy algebry.NČSAV, Praha 1956. |
| Reference:
|
[8] Kubáček L.: Confidence region in Helmert transformation.Studia geof. et geod. 10 (1966), pp. 124-136. |
| Reference:
|
[9] Курош А. Г.: Курс высшей алгебры.Госиздат физико-математической литературы, Москва 1959. Zbl 1047.90504 |
| Reference:
|
[10] Лишит Ю. В.: Метод наименших квадратов и основы математикостатистической теории обработки наблюдений.Госиздат физико-математической литературы, Москва 1962. Zbl 1005.68507 |
| . |
