singular stochastic differential equations - cherny a, englebert h
... indeed singular . Then we study the ex- istence, the uniqueness, and the qualitative behaviour of a solution in the right-hand neighbourhood of an isolated singular point. This leads to the one-sided ... and the qual- itative behaviour of a solution in the two-sided neighbourhood of an isolated singular point. We consider the effects brought by the combination of right and left types. Sinc...
Ngày tải lên: 08/04/2014, 12:25
... y0 w1 h1 " alt=""
Ngày tải lên: 08/04/2014, 12:25
... y0 w1 h1 " alt=""
Ngày tải lên: 08/04/2014, 12:25
Tài liệu Numerical Solution of Stochastic Differential Equations with Jumps in Finance pdf
... after the other. In the above Gaussian example this involved the use of the erf{·} special function. For squared Bessel processes the non-central chi-square dis- tribution function represents the ... do not show any value for the time periods when the argument of the logarithm becomes negative. Indeed we see in Fig. 2.3.9 that the off-diagonal elements have such negative values near the time ....
Ngày tải lên: 19/02/2014, 22:20
introduction to stochastic differential equations v1.2 (berkeley lecture notes) - l. evans
... X. This is the smallest sub-σ-algebra of U with respect to which X is measurable. Proof. Check that {X −1 (B) |B ∈B}is a σ-algebra; clearly it is the smallest σ-algebra with respect to which X ... 1], values of h U = Borel subsets of Ω, P (B)= 2·area of B π for each B ∈U. We denote by A the event that the needle hits a horizontal line. We can now check that this happens provided h s...
Ngày tải lên: 31/03/2014, 15:56
stochastic differential equations 5th ed. - b. oksendal
... to the assertion that “applied mathematics is bad mathematics” and to the assertion that “the only really useful math- ematics is the elementary mathematics”. For the Kalman-Bucy filter – as the ... results without proof (at first stage, anyway) in order to have time for some more basic applications. These notes reflect this point of view. Such an approach enables us to reach the highlights of t...
Ngày tải lên: 31/03/2014, 15:57
introduction to stochastic differential equations 1.2 - evans l c
... X. This is the smallest sub-σ-algebra of U with respect to which X is measurable. Proof. Check that {X −1 (B) |B ∈B}is a σ-algebra; clearly it is the smallest σ-algebra with respect to which X ... 1], values of h U = Borel subsets of Ω, P (B)= 2·area of B π for each B ∈U. We denote by A the event that the needle hits a horizontal line. We can now check that this happens provided h s...
Ngày tải lên: 08/04/2014, 12:24
introduction to partial differential equations - a computational approach - a. tveito, r. winther
... brilliant mathematicians years to agree upon the validity of Fourier series. We highly recommend that the interested student read about this story in the book by Davis and Hersh [9]. In this chapter, ... between them. In particular, this is the case in the field of Fourier analysis. This field was initiated by Joseph Fourier (1768–1830), a French physicist who studied heat conduction. In his an...
Ngày tải lên: 31/03/2014, 15:56
stochastic integration and differential equations 2ed - protter
... are called the sample paths of the stochastic process X. Definition. A stochastic process X is said to be chdlhg if it a.s. has sam- ple paths which are right continuous, with left limits. ... Similarly, a stochastic process X is said to be chglhd if it a.s. has sample paths which are left continuous, with right limits. (The nonsensical words chdlhg and chghd are acrony...
Ngày tải lên: 08/04/2014, 12:25
stochastic partial differential equations and applications - math da prato g , tubaro l
... y0 w1 h1 " alt=""
Ngày tải lên: 08/04/2014, 12:26