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About
Cramér-Wold theorem
(Theorem)
Let
and
be k-dimensional
random vectors
. Then
converges
to
in distribution
if and only if
for each
. That is, if every fixed
linear combination
of the
coordinates
of
converges in
distribution
to the correspondent linear combination of coordinates of
.
"Cramér-Wold theorem" is owned by
Koro
.
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Cross-references:
distribution
,
coordinates
,
linear combination
,
converges
,
random vectors
There is
1 reference
to this entry.
This is
version 1
of
Cramér-Wold theorem
, born on 2002-12-10.
Object id is
3711
, canonical name is
CramerWoldTheorem
.
Accessed 4490 times total.
Classification:
AMS MSC
:
60E05
(Probability theory and stochastic processes :: Distribution theory :: Distributions: general theory)
Pending Errata and Addenda
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