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Bounded-metric characterization of convergence in probability
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Mathematics
Area of mathematics
Probability and statistics
Probability theory
Convergence of random variables
Convergence in probability
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Convergence in probability is equivalent to
E
(
∣
X
n
−
X
∣
∧
1
)
→
0.
(12)
The forward implication splits at a fixed error threshold; the reverse implication is Markov's inequality.
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Convergence in probability
Convergence of random variables
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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