- probability, the
Glivenko–Cantelli
theorem (sometimes
referred to as the
Fundamental Theorem of Statistics),
named after Valery Ivanovich Glivenko and Francesco...
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Valery Ivanovich Glivenko (Russian: Вале́рий Ива́нович Гливе́нко, Ukrainian: Валерій Іванович Гливенко; 2
January 1897 (Gregorian calendar) / 21 December...
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comes from
Glivenko's theorem,
proved by
Valery Glivenko in 1929. It maps each
classical formula φ to its
double negation ¬¬φ.
Glivenko's theorem states:...
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Glivenko's theorem may
refer to:
Glivenko's theorem (probability theory)
Glivenko's theorem or
Glivenko's translation, a double-negation
translation for...
-
complete Boolean algebra; this
result is
known as the
Glivenko–Stone theorem,
after Valery Ivanovich Glivenko and
Marshall Stone. Similarly, the Dedekind–MacNeille...
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converges with
probability 1 to that
underlying distribution,
according to the
Glivenko–Cantelli theorem. A
number of
results exist to
quantify the rate of convergence...
- Holland's
schema theorem, or the "fundamental
theorem of
genetic algorithms"
Glivenko–Cantelli theorem, or the "fundamental
theorem of statistics" Fundamental...
- {\displaystyle {\mathcal {F}}} is
Glivenko–Cantelli or Donsker. A
class F {\displaystyle {\mathcal {F}}} is P-
Glivenko–Cantelli if it is P-measurable with...
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converges to F pointwise.
Glivenko and
Cantelli strengthened this
result by
proving uniform convergence of Fn to F by the
Glivenko–Cantelli theorem. A centered...
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difference between the two
distribution functions across all x values. By the
Glivenko–Cantelli theorem, if the
sample comes from
distribution F(x), then Dn converges...