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Strong law of large numbers
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Mathematics
Area of mathematics
Probability and statistics
Probability theory
Convergence of random variables
Almost sure convergence
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Words: 12
If
(
X
n
)
are
independent and identically distributed random variables
with
E
∣
X
1
∣
<
∞
, then
n
1
∑
j
=
1
n
X
j
⟶
E
[
X
1
]
(10)
almost surely.
Ancestors
(7)
Almost sure convergence
Convergence of random variables
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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