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.
monte carlo simulation is used to give solutions of deterministic problems whereas stochastic simulation is used for stochastic problems.
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.
Buying a lottery ticket daily is deterministic. Winning a lottery and getting a prize is Stochastic.
In regression analysis, the stochastic error term represents the unobserved factors that influence the dependent variable and account for the randomness in the data. It reflects the differences between the actual values and the predicted values generated by the model. The residual, on the other hand, is the difference between the observed values and the predicted values from the regression model for the specific sample used in the analysis. While the stochastic error term is theoretical and pertains to the entire population, the residual is empirical and pertains only to the data at hand.
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.
monte carlo simulation is used to give solutions of deterministic problems whereas stochastic simulation is used for stochastic problems.
I don't know the answer I am looking for the answers too. :) I'm only 41.
No threshold
Stochastic systems involve randomness and unpredictability, meaning their outcomes can vary even with the same initial conditions. For example, rolling a dice is stochastic since each roll can yield different results. In contrast, deterministic systems have predictable outcomes based on initial conditions, where the same inputs will always produce the same results, such as solving a mathematical equation like (2 + 2 = 4).
A deterministic sequence - as opposed to a stochastic or random sequence.
monte carlo simulation is used to give solutions of deterministic problems whereas stochastic simulation is used for stochastic problems. basically Monte carlo simulation was named after world war -2 by j. von newmann to solve real world problems From - kapil M.tech Student
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.
stochastic demand is random demand. it is determined by predictable actions and a random element.
Buying a lottery ticket daily is deterministic. Winning a lottery and getting a prize is Stochastic.
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.
Any simulation model that does not contain any random or probabilistic element is called a deterministic simulation model. The characteristic of this type of simulation model is that the output is determined when the set of input elements and properties in the model have been specified. For example, a deterministic simulation model can represent a complicated system of differential equations. Many simulation models however, have at least one element that is random, which gives rise to the stochastic simulation model. In most simulation models randomness is important to mimic the real scenario, for example user connections to the internet arise 'randomly' when a person pressing a key. However, for any stochastic simulation model that has random output, the output (numerical results) can only be treated as an estimate of the true output parameters of the model
H. Marcus-Roberts has written: 'Comparison of some deterministic and stochastic models of population growth'