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Skorokhod's representation theorem
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a> and <a href="/facts/Statistics/DNPsKGYU">statistics</a>, Skorokhod's representation theorem is a result that shows that a <a href="/facts/Weak_convergence_of_measures/fb0I0KAL">weakly convergent</a> <a href="/facts/Sequence/gV2S4uqp">sequence</a> of <a href="/facts/Probability_measure/8BjhgoPR">probability measures</a> whose limit measure is sufficiently well-behaved can be represented as the distribution/law of a <a href="/facts/Pointwise_convergence/TXGpeyIK">pointwise convergent</a> sequence of <a href="/facts/Random_variable/TwTBXnLT">random variables</a> defined on a common <a href="/facts/Probability_space/dEcv2VrU">probability space</a>. It is named for the Ukrainian <a href="/facts/Mathematician/eaFSR8Fx">mathematician</a> <a href="/facts/Anatoliy_Skorokhod/boIrt8wI">A. V. Skorokhod</a>. </p>