Kolmogorov consistency conditions

0.01 sec.

Kolmogorov consistency conditions [‚kȯl·mə′gȯ·rȯf kən′sis·tən·sē kən‚dish·ənz]

(mathematics)

For each finite subsetFof the real numbers or integers, letP_Fdenote a probability measure defined on the Borel subsets of the cartesian product ofk(F) copies of the real line indexed by elements inF, wherek(F) denotes the number of elements inF; the family {P_F} of measures satisfy the Kolmogorov consistency conditions if given any two finite setsF₁andF₂withF₁contained inF₂, the restriction ofP_F₂to those sets which are independent of the coordinates inF₂which are not inF₁coincides withP_F₁.

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content.

?Page tools

Printer friendly
Cite / link

Feedback

Mentioned in	?		Encyclopedia browser	?		Full browser	?
No references found			Kollár, Jan Kollataj, Hugo Kolle Cueto, Jorge Kolli, Aleksandr Kolli, Aleksandr Andreevich Kolli, Nikolai Kolli, Nikolai Dzhemsovich Iakovlevich Kölliker, Albert von Kolliker, Rudolf Albert Kölliker, Rudolf Albert Kolloidnyi Zhurnal Kollontai, Aleksandra Kollontai, Aleksandra Mikhailovna Kollontai, Aleksandra Mikhaylovna Kollontay, Aleksandra Kollsman window Kollwitz, Kathe Kollwitz, Käthe Kollwitz, Käthe Schmidt Kolmanovskii, Eduard Kolmanovskii, Eduard Savelevich Kolmar Kolmar von der Goltz Kolmer test Kolmogorov Kolmogorov consistency conditions Kolmogorov inequalities Kolmogorov inertial subrange Kolmogorov space Kolmogorov, Andrei Kolmogorov, Andrei Nikolaevich Kolmogorov-Arnold-Moser theorem Kolmogorov-Sinai invariant Kolmogorov-Smirnov test Köln Koln-Lindenthal Köln-Lindenthal Kolo Kolobok Kolobovo Kolobrzeg Kolodiazhin Kolodin, Irving Kolodkevich, Nikolai Kolodkevich, Nikolai Nikolaevich Kolodnia Kologriv Kolokol Kolokotrones, Teodoros Kolokotronis, Theodore Kolomak			Kölliker, Albert von Kolliker, Rudolf Albert Kölliker, Rudolf Albert Kollisionsverhütungsregeln Kollner's.König bars rule Kolloidnyi Zhurnal Kollontai, Aleksandra Kollontai, Aleksandra Mikhailovna Kollontai, Aleksandra Mikhaylovna Kollontay, Aleksandra Kollotschau Kollsman window Kollwitz Kollwitz, Kathe Kollwitz, Käthe Kollwitz, Käthe Schmidt Kolmanovskii, Eduard Kolmanovskii, Eduard Savelevich Kolmar Kolmar Kolmar (disambiguation) Kolmar (disambiguation) Kolmar von der Goltz Kolmer test Kolmogorov Kolmogorov Kolmogorov axiom Kolmogorov consistency conditions Kolmogorov distribution Kolmogorov equivalence Kolmogorov equivalent Kolmogorov inequalities Kolmogorov inertial subrange Kolmogorov quotient Kolmogorov Smirnoff Test Kolmogorov Smirnov Kolmogorov Smirnov Test Kolmogorov space Kolmogorov test Kolmogorov, Andrei Kolmogorov, Andrei Nikolaevich Kolmogorov-Arnold-Moser theorem Kolmogorov-Johnson-Mehl-Avrami Theory Kolmogorov-Sinai invariant Kolmogorov-Smirnov Kolmogorov-Smirnov statistic Kolmogorov-Smirnov test Kolmogorovification Koln Koln Köln Köln Koln-Lindenthal Köln-Lindenthal

Encyclopedia

Free Tools:	For surfers: Free toolbar & extensions \| Word of the Day \| Help For webmasters: Free content \| Linking \| Lookup box \| Double-click lookup

Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.