Oh, dude, it's like asking the difference between a taco and a burrito - they're both delicious, but they have their own unique flavors. Stochastic is more about randomness and unpredictability, while probabilistic is all about calculating probabilities and likelihoods. So, like, stochastic is the wild card at the party, and probabilistic is the one crunching numbers in the corner.
"Stochastic" and "probabilistic" are related terms that refer to randomness or uncertainty in a system. "Stochastic" typically describes a process that is random and unpredictable, often involving a degree of randomness that follows a specific probability distribution. "Probabilistic," on the other hand, generally refers to a system or event that can be described using probabilities or likelihoods of different outcomes occurring. In essence, while both terms deal with uncertainty, "stochastic" emphasizes randomness, while "probabilistic" focuses on the use of probabilities to describe uncertainty.
Alright, listen up, sweetheart. The term 'stochastic' is used to describe a process that involves a random element, like rolling a dice. 'Probabilistic', on the other hand, refers to something that is based on probabilities, like predicting the chances of rain tomorrow. So, in a nutshell, stochastic is all about randomness, while probabilistic is more about calculating probabilities.
I think most people use them as synonyms. In general usage, it can be appropriate. However, a probabilistic approach describes the occurrence of deterministic states with given probabilities, while stochastic processes are built up by sequential steps occurring with given probabilities.
Think of the difference between throwing a die once which determines the state you will arrive at and throwing a die multiple times where the resulting states are (can be) dependent on the previous states.
You can thank Kac and Nelson for the association of stochastic phenomena with probability and probabilistic events. There's a good Wikipedia page explaining in better detail.
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.
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.
Yu-Kweng Michael Lin has written: 'Probabilistic theory of structural dynamics' -- subject(s): Stochastic processes, Structural dynamics
With a probabilistic method, each member of the population has the same probability of being selected for the sample. Equivalently, given a sample size, every sample of that size has the same probability of being the sample which is selected. With such a sample it is easier to find an unbiased estimate of common statistical measures. None of this is true for non-probabilistic sampling.
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.
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
A stochastic error indicates an error that is random between measurements. Stochastics typically occur through the sum of many random errors.
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
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.
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.