Stochastic integration with jumps
Klaus Bichteler
Bichteler (mathematics, U. of Texas at Austin) aims to present the mathematical underpinning of stochastic analysis. Wiener process is treated for economics students and driving terms with jumps are covered to give mathematics students the background to connect with the literature and discrete time martingales. This leads to the most general Lebesgue-Stieltjes integral. Bichteler identifies the useful Lebesgue-Stieltjes distribution functions among all functions on the line and looks at criteria for process to be useful as "random distribution functions." Integration theory is demonstrated to be useful for finding these criteria.
Kategori:
Tahun:
2002
Edisi:
1
Penerbit:
Cambridge University Press
Bahasa:
english
Halaman:
508
ISBN 10:
0521811295
ISBN 13:
9780521811293
Nama seri:
Encyclopedia of Mathematics and its Applications
File:
PDF, 3.18 MB
IPFS:
,
english, 2002