000 | a | ||
---|---|---|---|
999 |
_c31930 _d31930 |
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008 | 230419b xxu||||| |||| 00| 0 eng d | ||
020 | _a9781944660512 | ||
082 |
_a519.23 _bCHE |
||
100 | _aChen, Mu-Fa | ||
245 | _aIntroduction to stochastic processes | ||
260 |
_bWorld Scientific, _aNew Jersey : _c2023 |
||
300 |
_axiii, 230 p. ; _bill., _c23 cm |
||
365 |
_b1195.00 _cINR _d01 |
||
490 |
_aWorld scientific series on probability theory and its applications, 2737-4467 ; _vv2 |
||
504 | _aIncludes bibliographical references and index. | ||
520 | _aThe book is so concise to cover the most important parts in stochastic processes: Markov chains and stochastic analysis. Some modern and new materials are included, such as the estimation of the first non-trivial eigenvalue and the Brunn-Minkowski inequality. The book provides abundant exercises for students, regarded as supplements to the main body of the book as well. | ||
650 | _aMarkov chains | ||
650 | _aDifferential equations | ||
650 | _aBranching process | ||
650 | _aBrunn-Minkowski's inequality | ||
650 | _aCollapse theorem | ||
650 | _aDoob's stopping theorem | ||
650 | _aEconomic model | ||
650 | _aErgodicity | ||
650 | _aFeynmann-Kac formula | ||
650 | _aGronwall's lemma | ||
650 | _a Hamilton -Jacobi-Bellman equation | ||
650 | _a Ito's formula | ||
650 | _a Kolmogorov backward equation | ||
650 | _a Person-Frobenius theorem | ||
650 | _aQueueing theory | ||
650 | _aSingle birth process | ||
650 | _aTransition probability matrix | ||
650 | _aUniqueness | ||
700 | _aMao, Yong-Hua | ||
942 |
_2ddc _cBK |