-
X 1 ,
X 2 ,
X 3 , … {\displaystyle
X_{1},
X_{2},
X_{3},\dots } with zero mean, the
stochastic process formed from the
successive partial sums
X 1 ,
X 1...
-
points x {\displaystyle
x} and
x ′ {\displaystyle
x'} . If the
process is stationary, the
covariance function depends only on
x −
x ′ {\displaystyle
x-
x'}...
-
process X ( t ) {\displaystyle
X(t)} has
constant mean μ
X = E [
X ( t ) ] , {\displaystyle \mu _{
X}=E[
X(t)],} and
autocovariance r
X ( τ ) = E [ (
X...
- Ornstein–Uhlenbeck
process can also be
considered as the continuous-time
analogue of the discrete-time AR(1)
process. The Ornstein–Uhlenbeck
process x t {\displaystyle...
- , then a
stochastic process (
X n ) n ∈ N {\displaystyle (
X_{n})_{n\in \mathbb {N} }} is
predictable if
X n + 1 {\displaystyle
X_{n+1}} is measurable...
- In
signal processing, the
power spectrum S
x x ( f ) {\displaystyle S_{xx}(f)} of a
continuous time
signal x ( t ) {\displaystyle
x(t)}
describes the...
- Formally, let {
X t } {\displaystyle \left\{
X_{t}\right\}} be a
stochastic process and let F
X (
x t 1 + τ , … ,
x t n + τ ) {\displaystyle F_{
X}(
x_{t_{1}+\tau...
- Musk
announced that
Twitter would be
rebranded to "
X" and the bird logo
would be retired, a
process which was
completed by May 2024.
Since Musk's takeover...
- macOS, Apple's
current Mac
operating system formerly named Mac OS
X until 2011 and then OS
X until 2016,
began with the company's
project to
replace its "classic"...
-
stochastic process X is
called a
semimartingale if it can be
decomposed as the sum of a
local martingale and a càdlàg
adapted finite-variation
process. Semimartingales...
