stochastic calculus in a sentence

1. The It?integral is central to the study of stochastic calculus.
2. In 1965 Paul Samuelson introduced stochastic calculus into the study of finance.
3. In 1969 Robert Merton promoted continuous stochastic calculus and continuous-time processes.
4. There are also chain rules in stochastic calculus.
5. Stochastic calculus for semimartingales on general manifolds requires the use of the Stratonovich integral.
6. It's difficult to find stochastic calculus in a sentence.
7. This is the stochastic calculus version of the change of variables formula and chain rule.
8. An alternative result, of significant importance in the theory of Stochastic calculus is the following.
9. The stochastic integral of left-continuous processes is general enough for studying much of stochastic calculus.
10. "' Stochastic calculus "'is a branch of mathematics that operates on stochastic processes.
11. It contains pieces of what we now call stochastic calculus, including a version of Ito's formula.
12. Just as with classical stochastic calculus, the appropriate product rule can be derived for ItM
    and Stratonovich integration, respectively:
13. In 2005, he taught a course in stochastic calculus at the African Institute for Mathematical Sciences in Cape Town South Africa.
14. The concept of semimartingales, and the associated theory of stochastic calculus, extends to processes taking values in a differentiable manifold.
15. An important application of stochastic calculus is in quantitative finance, in which asset prices are often assumed to follow stochastic differential equations.
16. Examples of this include : the free central limit theorem; notions of free convolution; existence of free stochastic calculus and so on.
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