Revision #515 → #1119 · back to history
addedWeak law of large numbers2d9e09e51144
addedConvergence in distributiond2a382218fd3
addedUniform distribution counterexample at discontinuitya7719f744223
addedConvergence in distribution for random vectorsc3b6d379f46a
addedWeak convergence of random elements in metric spaces2cfaf080dc52
addedDensities need not converge8bf18ab16552
addedScheffé's theorem918349f5bf2c
addedPortmanteau lemmaa16669f1232a
addedContinuous mapping theorem (distribution)372a2542a0a6
addedLévy's continuity theoremdfbbd1593eff
addedMetrizability by Lévy–Prokhorov metric8d25ca073447
addedSkorokhod's representation theorem3abc11755cbc
addedConvergence in probability063eaecb1ca1
addedConvergence in probability on separable metric space2ae1259007f2
addedConvergence in probability implies convergence in distribution0d74a7ebe102
addedConvergence in distribution to a constant implies convergence in probability730b0f6a1afc
addedConvergence in probability does not imply almost sure convergence8badbc77eb09
addedContinuous mapping theorem (probability)2414364a842f
addedKy Fan metric for convergence in probabilitybfec9aabbb37
addedConvergence in distribution without convergence in probability924be299f32f
addedAlmost sure convergencea6d1679405e2
addedAlmost sure convergence via limit superior of sets7e1f4fe2c9e9
addedAlmost sure convergence on metric spaces6b128f2a61b6
addedAlmost sure convergence implies convergence in probabilityb4caba3db658
addedNo topology/metric for almost sure convergence6bd9a609bcda
addedConvergence in probability without almost sure convergence0c85ebc3b6ec
addedSure (pointwise) convergencee3c406c01497
addedSure convergence implies all other convergence modesf26352ce16a7
addedConvergence in r-th meand70a45bd11d9
addedConvergence in mean and mean square960e31bd2cee
addedConvergence in r-th mean implies convergence in probability3635de24e5ef
addedHigher r-th mean implies lower r-th meanaf3702b7c29f
addedUniqueness of limit (a.s. equality)afc0cf843c3f
addedAlmost sure convergence implies convergence in probability11962d06981c
addedSubsequence almost surely convergesf54d7d4f5cd0
addedConvergence in probability implies convergence in distributiond457c74a27c3
addedr-th order mean implies convergence in probabilityc1ca5de4386a
addedHigher order mean implies lower order mean9cdced105dbb
addedConvergence in distribution to constant implies in probability0040d68ba809
addedSlutsky-type addition theorem299fd806335a
addedJoint convergence with constant in distributionfa54b7d273d7
addedJoint convergence in probability2bfe60807c05
addedBounded convergence in probability implies r-th meanc90e9c721a81
addedAlmost sure representation (Skorokhod)d6bc7aeefee1
addedAlmost complete convergenced3bf24ac00fe
addedAlmost complete convergence implies almost sure convergencea9cbbf8f3253
addedSum of independent variables: a.s. iff in probabilityf0dfcdf34609
addedDominated convergence theorem5370baa24a43
addedNecessary and sufficient condition for L^1 convergence5fe0d4667800