Karhunen-loeve transform and Korobov sequences: Difference between pages

From HandWiki
(Difference between pages)
imported>Jworkorg
(import)
 
imported>PolicyEnforcerIA
(attribution)
 
Line 1: Line 1:




[[File:hepa_img2.gif|14x8px]] [[Principal component analysis#214|Principal Component Analysis]]
Finite sequences of [[Quasirandom numbers#227|quasirandom numbers]] for use in multidimensional integration by quasi-Monte Carlo methods. The ''k''th point (vector) in the ''p''-dimensional space is given by:
 
[[File:hepa_img544.gif|444x39px]]
 
The constants ''a''<sub>1</sub> are carefully chosen to minimize the non-uniformity of the distribution for ''p'' and ''N''. A general discussion can be found in [[References 1#zakr78|Zakrzewska78]].


[[Category:W.Krisher and R.Bock]]
[[Category:W.Krisher and R.Bock]]
[[Category:Data analysis]]
[[Category:Data analysis]]
[[Category:Statistics]]
[[Category:Statistics]]
{{Sourceattribution|Korobov sequences|1}}

Latest revision as of 11:44, 5 August 2021


Finite sequences of quasirandom numbers for use in multidimensional integration by quasi-Monte Carlo methods. The kth point (vector) in the p-dimensional space is given by:

Hepa img544.gif

The constants a1 are carefully chosen to minimize the non-uniformity of the distribution for p and N. A general discussion can be found in Zakrzewska78.