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Kolmogorov-Smirnov theorem
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For an empirical distribution function based on an independent sample from a continuous distribution
F
,
n
sup
x
∣
F
n
(
x
)
−
F
(
x
)
∣
d
sup
0
≤
t
≤
1
∣
B
(
t
)
∣
,
(231)
where
B
is a
Brownian bridge
.
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Statistical inference
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Area of mathematics
Mathematics
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