Details
Originalsprache | Deutsch |
---|---|
Seiten (von - bis) | 171-177 |
Seitenumfang | 7 |
Fachzeitschrift | METRIKA |
Jahrgang | 19 |
Ausgabenummer | 1 |
Publikationsstatus | Veröffentlicht - Dez. 1972 |
Abstract
In this paper some explicit representations of the moments about zero and recurrence formulas of the central moments for the Pólya- and Beta-distribution are given. For this purpose certain positive linear polynomial operators of approximation theory are used. These operators contain in particular the well-known Bernstein-polynomials. The theorems are formulated in a general way to use them in approximation theory.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Statistik und Wahrscheinlichkeit
- Entscheidungswissenschaften (insg.)
- Statistik, Wahrscheinlichkeit und Ungewissheit
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in: METRIKA, Jahrgang 19, Nr. 1, 12.1972, S. 171-177.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Rekursionsformeln für die zentralen Momente der Pólya- und der Beta-Verteilung
AU - Mühlbach, G.
PY - 1972/12
Y1 - 1972/12
N2 - In this paper some explicit representations of the moments about zero and recurrence formulas of the central moments for the Pólya- and Beta-distribution are given. For this purpose certain positive linear polynomial operators of approximation theory are used. These operators contain in particular the well-known Bernstein-polynomials. The theorems are formulated in a general way to use them in approximation theory.
AB - In this paper some explicit representations of the moments about zero and recurrence formulas of the central moments for the Pólya- and Beta-distribution are given. For this purpose certain positive linear polynomial operators of approximation theory are used. These operators contain in particular the well-known Bernstein-polynomials. The theorems are formulated in a general way to use them in approximation theory.
UR - http://www.scopus.com/inward/record.url?scp=0012962861&partnerID=8YFLogxK
U2 - 10.1007/BF01893292
DO - 10.1007/BF01893292
M3 - Artikel
AN - SCOPUS:0012962861
VL - 19
SP - 171
EP - 177
JO - METRIKA
JF - METRIKA
SN - 0026-1335
IS - 1
ER -