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随机过程用的极限定理-第2版 版权信息
- ISBN:9787510061387
- 条形码:9787510061387 ; 978-7-5100-6138-7
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 所属分类:>>
随机过程用的极限定理-第2版 本书特色
杰克德编著的《随机过程用的极限定理(第2版)》的**版成为学习随机过程函数收敛的**读物,这部科学巨着终于出第2版了,仍然延续了第1版的风格,但增加了不少新的知识,在厚度上的增加了将近50面。第1版面世后,可预测的一致胎紧性有了很大的进展,所以书中也做了全面的更新。本书仍然是学习随机过程的一本不可或缺的参考书。目次:随机过程一般概念;半鞅和独立增量过程的特征;鞅问题和测量改变;Hellinger过程、绝对连续和测度奇异性;绝对连续和奇异的可预测准则;近邻性、完全独立和变分收敛;Skorokhod拓扑和过程收敛;具有独立增量的过。
随机过程用的极限定理-第2版 内容简介
《随机过程用的极限定理(第2版)(英文)》讲述Apart from correcting a number of printing mistakes,and some mathematical inaccuracies as well,this second edition contains some new material: indeed,during the fifteen years elapsed since the first edition came out,a large number of new results concerning limit theorems have of course been proved by many authors,and more generally mathematical life has been going on.This gave us the feeling that some of the material in the first edition was perhaps not as important as we thought at the time,while there were some neglected topics which have in fact proved to be very useful in various applications.So perhaps a totally new book would have been a good thing to write.Our natural laziness prevented us to do that,but we have felt compelled to fill in the most evident holes in this book.This has been done in the most painless way for us,and also for the reader acquainted with the first edition (at least we hope so ...).That is all new material has been added at the end of preexisting chapters.
随机过程用的极限定理-第2版 目录
chapter i. the general theory of stochastic processes,
semimartingales and stochastic integrals
1. stochastic basis, stopping times, optionala-field,martingales
1a. stochastic basis
lb. stopping times
lc. the optional a-field
ld. the localization procedure
1e. martingales
1f. the discrete case
2. predictable a-field, predictable times
2a. the predictable a-field
2b. predictable times
2c. totally inaccessible stopping times
2d. predictable projection
2e. the discrete case
3. increasing processes
3a. basic properties
3b. do, b-meyer decomposition and compensatorsof increasingprocesses
3c. lenglart domination property
3d. the discrete case
4. semimartingales and stochastic integrals
4a. locally square-integrable martingales
4b. decompositions of a local martingale
4c. semimartingales
4d. construction of the stochastic integral
4e. quadratic variation ofa semimartingale and ito's formula
4f. dol6ans-dade exponential formula
4g. the discrete case
chapter ii. characteristics of semimartingales and processes withindependent increments
1. random measures
1a. general random measures
lb. integer-valued random measures
1c. a fundamental example: poisson measures
1d. stochastic integral with respect to a random measure
2. characteristics of semimartingales
2a. definition of the characteristics
2b. integrability and characteristics
2c. a canonical representation for semimartingales
2d. characteristics and exponential formula
3. some examples
3a. the discrete case
3b. more on the discrete case
3c. the "one-point" point process and empirical processes
4. semimartingales with independent increments
4a. wiener processes
4b. poisson processes and poisson random measures
4c. processes with independent increments andsemimartingales
4d. gaussian martingales
5. processes with independent increments
which are not semimartingales
5a. the results
5b. the proofs
6. processes with conditionally independent increments
7. progressive conditional continuous piis
8. semimartingales, stochastic exponential and stochasticlogarithm.
8a. more about stochastic exponential and stochasticlogarithm.
8b. multiplicative decompositions andexponentially special semimartingales
chapter iii. martingale problems and changes of measures
1. martingale problems and point processes
1a. general martingale problems
1b. martingale problems and random measures
1c. point processes and multivariate point processes
……
随机过程用的极限定理-第2版 作者简介
Jean Jacod, Albert N. Shiryaev是国际知名学者,在数学和物理学界享有盛誉。本书凝聚了作者多年科研和教学成果,适用于科研工作者、高校教师和研究生。
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