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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.

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Q: What is the difference between stochastic and random?
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What is the difference between 'stochastic' and 'deterministic'?

These words are used to describe ways of modeling or understanding the world. "Stochastic" means that some elements of the model or description are thought of as being random. (The word "Stochastic" is derived from an ancient Greek word for random.) A model or description that has no random factors, but conceivably could, is called "deterministic." For example, the equation Q = VC where Q = charge, V = voltage, and C = capacitance, is a deterministic physical model. One stochastic version of it would be Q = VC + e where e is a random variable introduced to account for or characterize the deviations between the actual charges and the values predicted by the deterministic model.


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 the difference between Monte Carlo and stochastic methods of simulation?

monte carlo simulation is used to give solutions of deterministic problems whereas stochastic simulation is used for stochastic problems.


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 is the difference between the stochastic error term and the residual?

Ah, the stochastic error term and the residual are like happy little clouds in our painting. The stochastic error term represents the random variability in our data that we can't explain, while the residual is the difference between the observed value and the predicted value by our model. Both are important in understanding and improving our models, just like adding details to our beautiful landscape.

Related questions

What is a stochastic error term?

A stochastic error indicates an error that is random between measurements. Stochastics typically occur through the sum of many random errors.


What is the difference between 'stochastic' and 'deterministic'?

These words are used to describe ways of modeling or understanding the world. "Stochastic" means that some elements of the model or description are thought of as being random. (The word "Stochastic" is derived from an ancient Greek word for random.) A model or description that has no random factors, but conceivably could, is called "deterministic." For example, the equation Q = VC where Q = charge, V = voltage, and C = capacitance, is a deterministic physical model. One stochastic version of it would be Q = VC + e where e is a random variable introduced to account for or characterize the deviations between the actual charges and the values predicted by the deterministic model.


What is variable demand stochastic demand deterministic demand?

stochastic demand is random demand. it is determined by predictable actions and a random element.


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 the difference between Monte Carlo and stochastic methods of simulation?

monte carlo simulation is used to give solutions of deterministic problems whereas stochastic simulation is used for stochastic problems.


Is time series a stochastic process?

no, it is a random process


What is the importance of distribution functions to stochastic processes?

Stochastic processes are families of random variables. Real-valued (i.e., continuous) random variables are often defined by their (cumulative) distribution function.


What is a sequence that is predictable?

A deterministic sequence - as opposed to a stochastic or random sequence.


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 is the difference between random sampling and non random sampling?

a


What is the difference between deterministic and stochastic effects?

I don't know the answer I am looking for the answers too. :) I'm only 41.


What is the difference between the stochastic error term and the residual?

Ah, the stochastic error term and the residual are like happy little clouds in our painting. The stochastic error term represents the random variability in our data that we can't explain, while the residual is the difference between the observed value and the predicted value by our model. Both are important in understanding and improving our models, just like adding details to our beautiful landscape.