Central Limit Theorems for Interchangeable Processes
1958 ◽
Vol 10
◽
pp. 222-229
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Keyword(s):
Let {Xn} (n = 1, 2 , …) be a stochastic process. The random variables comprising it or the process itself will be said to be interchangeable if, for any choice of distinct positive integers i 1, i 2, H 3 … , ik, the joint distribution of depends merely on k and is independent of the integers i 1, i 2, … , i k. It was shown by De Finetti (3) that the probability measure for any interchangeable process is a mixture of probability measures of processes each consisting of independent and identically distributed random variables.
2005 ◽
Vol 08
(04)
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pp. 631-650
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Keyword(s):
2014 ◽
Vol 51
(1)
◽
pp. 1-15
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Keyword(s):
2002 ◽
Vol 59
(1)
◽
pp. 75-81
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Keyword(s):
2010 ◽
Vol 31
(5)
◽
pp. 337-347
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Keyword(s):
1978 ◽
Vol 15
(03)
◽
pp. 639-644
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1996 ◽
Vol 59
(3-4)
◽
pp. 241-258
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Keyword(s):