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- Big_O_in_probability_notation abstract "The order in probability notation is used in probability theory and statistical theory in direct parallel to the big-O notation that is standard in mathematics. Where the big-O notation deals with the convergence of sequences or sets of ordinary numbers, the order in probability notation deals with convergence of sets of random variables, where convergence is in the sense of convergence in probability.For a set of random variables Xn and a corresponding set of constants an (both indexed by n, which need not be discrete), the notationmeans that the set of values Xn/an converges to zero in probability as n approaches an appropriate limit.Equivalently, Xn = op(an) can be written as an op(1) where Xn = op(1) is defined as,for every positive ε.The notation,means that the set of values Xn/an is stochastically bounded. That is, for any ε > 0, there exists a finite M > 0 such that,".
- Big_O_in_probability_notation wikiPageID "22284600".
- Big_O_in_probability_notation wikiPageRevisionID "582855679".
- Big_O_in_probability_notation hasPhotoCollection Big_O_in_probability_notation.
- Big_O_in_probability_notation subject Category:Mathematical_notation.
- Big_O_in_probability_notation subject Category:Probability_theory.
- Big_O_in_probability_notation subject Category:Statistical_terminology.
- Big_O_in_probability_notation comment "The order in probability notation is used in probability theory and statistical theory in direct parallel to the big-O notation that is standard in mathematics.".
- Big_O_in_probability_notation label "Big O in probability notation".
- Big_O_in_probability_notation sameAs m.05q7xt1.
- Big_O_in_probability_notation sameAs Q4906086.
- Big_O_in_probability_notation sameAs Q4906086.
- Big_O_in_probability_notation wasDerivedFrom Big_O_in_probability_notation?oldid=582855679.
- Big_O_in_probability_notation isPrimaryTopicOf Big_O_in_probability_notation.