* Stochastic* (from the Greek

*στόχος*for

*aim*or

*guess*) is an adjective that refers to systems whose behavior is intrinsically non-deterministic, sporadic, and categorically

*not*intermittent (i.e. random). A

**stochastic process**is one whose behavior is non-deterministic, in that a system's subsequent state is determined both by the process's predictable actions and by a random element. However, according to M. Kac and E. Nelson, any kind of time development (be it deterministic or essentially probabilistic) which is analyzable in terms of probability deserves the name of stochastic process.

Read more about Stochastic: Mathematical Theory, Artificial Intelligence, Natural Science, Music, Color Reproduction, Language and Linguistics, Social Sciences

### Other articles related to "stochastic":

**Stochastic**Control - In Finance

... time approach in a finance context, the state variable in the

**stochastic**differential equation is usually wealth or net worth, and the controls are the shares placed at each time in the various assets ... of the change in wealth are usually the

**stochastic**returns to assets and the interest rate on the risk-free asset ... The field of

**stochastic**control has developed greatly since the 1970s, particularly in its applications to finance ...

**Stochastic**Grammar

... A

**stochastic**grammar (statistical grammar) is a grammar framework with a probabilistic notion of grammaticality

**Stochastic**context-free grammar Statistical parsing ...

**Stochastic**- Business - Finance

... The financial markets use

**stochastic**models to represent the seemingly random behaviour of assets such as stocks, commodities and interest rates ... Not to be confused with

**stochastic**oscillators in technical analysis ...

**Stochastic**Ordering -

**Stochastic**Dominance

...

**Stochastic**dominance is a

**stochastic**ordering used in decision theory ... Several "orders" of

**stochastic**dominance are defined ... Zeroth order

**stochastic**dominance consists of simple inequality if for all states of nature ...

**Stochastic**Processes And Boundary Value Problems

... boundary value problems can be solved using the methods of

**stochastic**analysis ... value problem can be solved using an Itō process that solves an associated

**stochastic**differential equation ...