Continuous Statistical Model
A
Continuous Statistical Model
is a
Statistical Model
that ...
Continuous Random Variable
.
AKA:
Continuous Model
.
See:
Discrete Statistical Model
.
2008
(
Georgii, 2008
) => Hans-Otto Georgii. (2008). "
Stochastics: introduction to probability theory and statistics.
" Walter de Gruyter.
ISBN 3110191458
(
alternate
,
search
),
(a) A
statistical model
M
= (
X
F
,
P
v
:
v
∈ ϴ) is called a
parametric model
if ϴ ⊂
R
d
for some
d
∈
N
. For
d
=1,
M
is called a
one-parameter model
.
(b)
M
is called a
discrete model
if
X
is
discrete
(i.e. at most
countable
), and ...
M
is called a
continuous model
iff
X
is a
Borel subset
of ... If either of these two cases applies, we say that
M
is a
standard model
.