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Tail sigma-algebra
(
T
)
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Mathematics
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Probability and statistics
Probability theory
Independent sigma-algebras
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For a sequence of random variables
(
X
n
)
, the tail sigma-algebra is
T
=
⋂
n
≥
1
σ
(
X
n
,
X
n
+
1
,
…
)
.
(6)
Its events are unaffected by changing any finite initial segment.
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39
1
Kolmogorov zero-one law
Tail sigma-algebra
15
Ancestors
(6)
Independent sigma-algebras
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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(2)
Kolmogorov zero-one law
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