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The definition to the term "Stochastic Process" is: A statistical process involving a number of random variables depending on a number variable. Which in most cases, is time.

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What is stochastic variables?

Stochastic variables, also known as random variables, are quantities whose values are determined by the outcomes of a random phenomenon. They can take on different values based on the inherent uncertainty of the process being observed, and are typically classified as discrete or continuous. Discrete stochastic variables have a finite or countably infinite number of possible values, while continuous variables can take any value within a specified range. These variables are fundamental in probability theory and statistics, as they enable the modeling of randomness and uncertainty in various applications.


What does the word stochastic mean?

Stochastic means non-deterministic. This means that something contains an inherent degree of randomness. For more detail, you should consult a dictionary or more detailed literature on probability theory.


What is the major difference between a mathematical model and an econometric model?

Mathematical model is exact in nature.it has Beta zero and Beta one and no stochastic or disturbance variables. Econometric model represents omitted variable, error in measurement and stochastic variables.


What is stochastic error term?

A Stochastic error term is a term that is added to a regression equation to introduce all of the variation in Y that cannot be explained by the included Xs. It is, in effect, a symbol of the econometrician's ignorance or inability to model all the movements of the dependent variable.


What is a stochastic event?

A stochastic event is a random occurrence that is subject to chance and uncertainty, often modeled using probability theory. Unlike deterministic events, which have predictable outcomes, stochastic events can yield different results even under identical conditions. Examples include rolling a die, stock market fluctuations, and weather changes. These events are often analyzed in fields like finance, statistics, and science to understand and manage risk.

Related Questions

Is time series a stochastic process?

no, it is a random process


What is a stochastic process?

Stochastic process is also known as a random process. It is a collection of random variables that represent the evolution of some system of random values over time.


What is stochastic calculus?

The mathematical theory of stochastic integrals, i.e. integrals where the integrator function is over the path of a stochastic, or random, process. Brownian motion is the classical example of a stochastic process. It is widely used to model the prices of financial assets and is at the basis of Black and Scholes' theory of option pricing.


What is the difference between stochastic and random?

Wikipedia states that stochastic means random. But there are differences depending on the context. Stochastic is used as an adjective, as in stochastic process, stochastic model, or stochastic simulation, with the meaning that phenomena as analyzed has an element of uncertainty or chance (random element). If a system is not stochastic, it is deterministic. I may consider a phenomena is a random process and analyze it using a stochastic simulation model. When we generate numbers using a probability distribution, these are called random numbers, or pseudo random numbers. They can also be called random deviates. See related links.


What is stochastic testing?

Stochastic testing is the same as "monkey testing", but stochastic testing is a lot more technical sounding name for the same testing process. Stochastic testing is black box testing, random testing, performed by automated testing tools. Stochastic testing is a series of random tests over time. The software under test typically passes the individual tests, but our goal is to see if it can pass a large number of individual tests.


What has the author A K Basu written?

A. K. Basu has written: 'Introduction to Stochastic Process' 'Marketing Research'


What has the author Tapio Westerlund written?

Tapio Westerlund has written: 'Application of stochastic control theory to the dry cement manufacturing process' -- subject(s): Cement industries, Production control, Stochastic control theory


When was Stochastic Models created?

Stochastic Models was created in 1985.


What has the author G Adomian written?

G. Adomian has written: 'Stochastic systems' -- subject(s): Stochastic differential equations, Stochastic systems


What has the author C W Gardiner written?

C. W. Gardiner has written: 'Handbook of Stochastic Methods' 'Stochastic methods' -- subject(s): Stochastic processes 'Quantum noise' -- subject(s): Stochastic processes, Quantum optics, Josephson junctions


What does it mean when a person uses the term stopped process in mathematics?

When a person uses the term stopped process in Mathematics it means that a person is using a stochastic process or assuming the value of time after it was prescribed or given.


What has the author Quan-Lin Li written?

Quan-Lin Li has written: 'Constructive computation in stochastic models with applications' -- subject(s): Stochastic processes, Stochastic models