STATIONARY STOCHASTIC PROCESS Meaning and
Definition
-
A stationary stochastic process, also known as a stationary time series, is a statistical model used to describe a sequence of random variables or observations that evolve over time. In this context, "stationary" refers to a set of characteristics or properties that remain constant, regardless of where the observation starts or the period of time under consideration.
More specifically, a stationary stochastic process possesses two key properties: statistical stationarity and strict stationarity. Statistically stationary means that the distribution of the random variables remains the same throughout the entire process. In other words, the mean, standard deviation, and other statistical measures of the process remain constant over time. Additionally, strict stationarity implies that the joint distribution of any set of observations is invariant to shifts in time.
The concept of a stationary stochastic process is fundamental in time series analysis and forecasting, as it simplifies the analysis and allows for the application of various mathematical and statistical methods. By assuming stationarity, researchers can make reliable predictions and draw accurate inferences about the future behavior of the process based on its past behavior.
It is important to note that while the definitions above help establish the basic understanding of a stationary stochastic process, the term can have slightly different definitions and assumptions depending on the specific field of study, such as economics, engineering, or physics.
Common Misspellings for STATIONARY STOCHASTIC PROCESS
- atationary stochastic process
- ztationary stochastic process
- xtationary stochastic process
- dtationary stochastic process
- etationary stochastic process
- wtationary stochastic process
- srationary stochastic process
- sfationary stochastic process
- sgationary stochastic process
- syationary stochastic process
- s6ationary stochastic process
- s5ationary stochastic process
- stztionary stochastic process
- ststionary stochastic process
- stwtionary stochastic process
- stqtionary stochastic process
- starionary stochastic process
- stafionary stochastic process
- stagionary stochastic process
Infographic
Add the infographic to your website:
