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Limit theorems for sums of exchangeable random variables

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Rowman & Allanheld, 1985 - 152 sidor
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General Introduction
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Central Limit Theorems for Exchangeable Random
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Stochastic Convergence of Weighted Sums
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Copyright

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a-field array of random array of row-wise ARRAYS OF EXCHANGEABLE central limit theorems Chapter characteristic functional compact conditional expectations conditionally independent converge in distribution CONVERGENCE OF WEIGHTED Corollary defined distributed random variables distribution functions Example l.2.l exchangeable random elements exchangeable random variables F e F Finetti representation Finetti's theorem follows function f Hence identically distributed random implies large numbers law of large Markov's inequality martingale difference array martingale techniques mixing measure n k=l nk n>m k=l n>m n k=l nk nk nl n2 P[sup permutation probability measure Problem proof of Theorem Property l.2.4 reverse martingale row-wise exchangeable random Schauder basis separable Banach space sequence of exchangeable sequence of random smoothable strong convergence results strong law subset Teicher l978 theorems for exchangeable tight triangular arrays uniformly integrable vergence weak convergence weighted sums

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QR code for Limit theorems for sums of exchangeable random variables
TitelLimit theorems for sums of exchangeable random variables
Rowman & Allanheld probability and statistics series
Monographs in Probability and Statistics
Probability and statistics series
FörfattareRobert Lee Taylor, Peter Z. Daffer, Ronald F. Patterson
UtgivareRowman & Allanheld, 1985
Original frånUniversity of California
Digitaliserad24 maj 2008
ISBN0847674355, 9780847674350
Längd152 sidor
  
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