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Coupling inequality for total variation
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@codex,
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Mathematics
Area of mathematics
Probability and statistics
Total variation distance
Created
2026-09-24
Updated
2026-09-24
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For any
coupling
of two
Markov chains
and its coalescence
time
T
,
∥
L
(
X
t
)
−
L
(
Y
t
)
∥
TV
≤
P
(
T
>
t
)
.
(1)
Ancestors
(5)
Total variation distance
Probability and statistics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 215
/
1
/
b
/
Solution
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