Peter Weiß,
"Applications of Generating Functions in Nonparametric Tests"
, in The Mathematica Journal, Vol. 9, Nummer 4, 8-2005, ISSN: 1047-5974
Original Titel:
Applications of Generating Functions in Nonparametric Tests
Sprache des Titels:
Englisch
Original Kurzfassung:
The combination of Mathematica´s high algebraic capycity and
method of generating functions is becoming an extremely efficient tool in probability theory and statistics. After an introductory example an a short overview on nonparametric methods, we show how generating functions on discrete statistics can be handled using Mathematica. Next, we solve two combinatorial problems, which are essential in calculating the generating function of nonparametric test statistics. Finally, these methods are used to produce accurate and extensive tables and plots of the distributions of some of the most popular nonparametric test statistics. Furthermore, we use graphs to illustrate approximations of the distributions of these test statistics by standard distributions.
Sprache der Kurzfassung:
Englisch
Journal:
The Mathematica Journal
Volume:
9
Number:
4
Erscheinungsmonat:
8
Erscheinungsjahr:
2005
ISSN:
1047-5974
Anzahl der Seiten:
21
Reichweite:
international
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift
Forschungs-