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1: General Theory / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries
| 1: General Theory / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries |
| Autore | Liptser, Robert S. |
| Pubbl/distr/stampa | New York, : Springer, 1977 |
| Descrizione fisica | x, 395 p. : 25 cm |
| Altri autori (Persone) | Shiryaev, Albert N. |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60Jxx - Markov processes [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 62Lxx - Sequential statistical methods [MSC 2020] 62Mxx - Inference from stochastic processes [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 94A05 - Communication theory [MSC 2020] 62Nxx - Survival analysis and censored data [MSC 2020] |
| Soggetto non controllato |
Functional Analysis
Markov Processes Martingales Mathematical statistics Probability Probability Theory Probability spaces Semimartingales Statistics Stochastic differential equations Stochastic processes |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268124 |
Liptser, Robert S.
|
||
| New York, : Springer, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
1: General Theory / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries
| 1: General Theory / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries |
| Autore | Liptser, Robert S. |
| Pubbl/distr/stampa | New York, : Springer, 1977 |
| Descrizione fisica | x, 395 p. : 25 cm |
| Altri autori (Persone) | Shiryaev, Albert N. |
| Soggetto topico |
60Gxx - Stochastic processes [MSC 2020]
60Hxx - Stochastic analysis [MSC 2020] 60Jxx - Markov processes [MSC 2020] 62Lxx - Sequential statistical methods [MSC 2020] 62Mxx - Inference from stochastic processes [MSC 2020] 62Nxx - Survival analysis and censored data [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 94A05 - Communication theory [MSC 2020] |
| Soggetto non controllato |
Functional Analysis
Markov Processes Martingales Mathematical statistics Probability Probability Theory Probability spaces Semimartingales Statistics Stochastic Differential Equations Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A considerable number of problems in the statistics of random processes are formulated within the following scheme. On a certain probability space (Q, ff, P) a partially observable random process (lJ,~) = (lJ ~/), t :;::-: 0, is given with only the second component n ~ = (~/), t:;::-: 0, observed. At any time t it is required, based on ~h = g., ° s sst}, to estimate the unobservable state lJ/. This problem of estimating (in other words, the filtering problem) 0/ from ~h will be discussed in this book. It is well known that if M(lJ;) < 00, then the optimal mean square esti mate of lJ/ from ~h is the a posteriori mean m/ = M(lJ/1 ff~), where ff~ = CT{ w: ~., sst} is the CT-algebra generated by ~h. Therefore, the solution of the problem of optimal (in the mean square sense) filtering is reduced to finding the conditional (mathematical) expectation m/ = M(lJ/lffa. In principle, the conditional expectation M(lJ/lff;) can be computed by Bayes' formula. However, even in many rather simple cases, equations obtained by Bayes' formula are too cumbersome, and present difficulties in their practical application as well as in the investigation of the structure and properties of the solution. |
| Record Nr. | UNICAMPANIA-VAN00268124 |
|
Liptser, Robert S.
|
||
| New York, : Springer, 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2: Applications / Robert S. Liptser, Albert N. Shiryaev ; translation editor: Stephen S. Wilson
| 2: Applications / Robert S. Liptser, Albert N. Shiryaev ; translation editor: Stephen S. Wilson |
| Autore | Liptser, Robert Shevilevich |
| Edizione | [2.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2001 |
| Descrizione fisica | XV, 402 p. ; 24 cm. |
| Altri autori (Persone) | Shiryaev, Albert N. |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60Jxx - Markov processes [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 62Lxx - Sequential statistical methods [MSC 2020] 62Mxx - Inference from stochastic processes [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 94A05 - Communication theory [MSC 2020] 62Nxx - Survival analysis and censored data [MSC 2020] |
| ISBN | 35-406-3928-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0057280 |
|
Liptser, Robert Shevilevich
|
||
| Berlin, : Springer, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2: Applications / Robert S. Liptser, Albert N. Shiryaev ; translation editor: Stephen S. Wilson
| 2: Applications / Robert S. Liptser, Albert N. Shiryaev ; translation editor: Stephen S. Wilson |
| Autore | Liptser, Robert S. |
| Edizione | [2.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2001 |
| Descrizione fisica | XV, 402 p. ; 24 cm |
| Altri autori (Persone) | Shiryaev, Albert N. |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60Jxx - Markov processes [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 62Lxx - Sequential statistical methods [MSC 2020] 62Mxx - Inference from stochastic processes [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 94A05 - Communication theory [MSC 2020] 62Nxx - Survival analysis and censored data [MSC 2020] |
| ISBN | 35-406-3928-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0057280 |
|
Liptser, Robert S.
|
||
| Berlin, : Springer, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2: Applications / Robert S. Liptser, Albert N. Shiryaev ; translated by A. B. Aries ; translation editor: Stephen S. Wilson
| 2: Applications / Robert S. Liptser, Albert N. Shiryaev ; translated by A. B. Aries ; translation editor: Stephen S. Wilson |
| Autore | Liptser, Robert S. |
| Edizione | [2.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2001 |
| Descrizione fisica | XV, 402 p. ; 24 cm |
| Altri autori (Persone) | Shiryaev, Albert N. |
| Soggetto topico |
60Gxx - Stochastic processes [MSC 2020]
60Hxx - Stochastic analysis [MSC 2020] 60Jxx - Markov processes [MSC 2020] 62Lxx - Sequential statistical methods [MSC 2020] 62Mxx - Inference from stochastic processes [MSC 2020] 62Nxx - Survival analysis and censored data [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 94A05 - Communication theory [MSC 2020] |
| ISBN | 35-406-3928-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00057280 |
|
Liptser, Robert S.
|
||
| Berlin, : Springer, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2: Applications / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries
| 2: Applications / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries |
| Autore | Liptser, Robert S. |
| Pubbl/distr/stampa | New York, : Springer, 1978 |
| Descrizione fisica | x, 341 p. : 25 cm |
| Altri autori (Persone) | Shiryaev, Albert N. |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60Jxx - Markov processes [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 62Lxx - Sequential statistical methods [MSC 2020] 62Mxx - Inference from stochastic processes [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 94A05 - Communication theory [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 62Nxx - Survival analysis and censored data [MSC 2020] |
| Soggetto non controllato |
Functional Analysis
Markov Processes Martingales Mathematical statistics Probability Probability Theory Probability spaces Semimartingales Statistics Stochastic differential equations Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268235 |
|
Liptser, Robert S.
|
||
| New York, : Springer, 1978 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
2: Applications / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries
| 2: Applications / R. S. Liptser, A. N. Shiryayev ; translated by A. B. Aries |
| Autore | Liptser, Robert S. |
| Pubbl/distr/stampa | New York, : Springer, 1978 |
| Descrizione fisica | x, 341 p. : 25 cm |
| Altri autori (Persone) | Shiryaev, Albert N. |
| Soggetto topico |
60-XX - Probability theory and stochastic processes [MSC 2020]
60Gxx - Stochastic processes [MSC 2020] 60Hxx - Stochastic analysis [MSC 2020] 60Jxx - Markov processes [MSC 2020] 62Lxx - Sequential statistical methods [MSC 2020] 62Mxx - Inference from stochastic processes [MSC 2020] 62Nxx - Survival analysis and censored data [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 94A05 - Communication theory [MSC 2020] |
| Soggetto non controllato |
Functional Analysis
Markov Processes Martingales Mathematical statistics Probability Probability Theory Probability spaces Semimartingales Statistics Stochastic Differential Equations Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00268235 |
|
Liptser, Robert S.
|
||
| New York, : Springer, 1978 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine / Vincenzo Capasso, David Bakstein
| An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine / Vincenzo Capasso, David Bakstein |
| Autore | Capasso, Vincenzo <1945- > |
| Edizione | [3. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2015 |
| Descrizione fisica | XVI, 482 p. : ill. ; 24 cm |
| Altri autori (Persone) | Bakstein, David |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60Jxx - Markov processes [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 91Gxx - Actuarial science and mathematical finance [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 92Bxx - Mathematical biology in general [MSC 2020] 60Fxx - Limit theorems in probability theory [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0113111 |
|
Capasso, Vincenzo <1945- >
|
||
| New York, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine / Vincenzo Capasso, David Bakstein
| An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine / Vincenzo Capasso, David Bakstein |
| Autore | Capasso, Vincenzo <1945- > |
| Edizione | [3. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2015 |
| Descrizione fisica | XVI, 482 p. : ill. ; 24 cm |
| Altri autori (Persone) | Bakstein, David |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60Jxx - Markov processes [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] 91Gxx - Actuarial science and mathematical finance [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 92Bxx - Mathematical biology in general [MSC 2020] 60Fxx - Limit theorems in probability theory [MSC 2020] |
| Soggetto non controllato |
Brownian Motions
Interacting particle systems Ito Calculus Lévy processes Quantitative Finance Stochastic differential equations Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113111 |
|
Capasso, Vincenzo <1945- >
|
||
| New York, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine / Vincenzo Capasso, David Bakstein
| An introduction to continuous-time stochastic processes : theory, models, and applications to finance, biology, and medicine / Vincenzo Capasso, David Bakstein |
| Autore | Capasso, Vincenzo, matematico |
| Edizione | [3. ed] |
| Pubbl/distr/stampa | New York, : Springer, 2015 |
| Descrizione fisica | 1 testo elettronico (XVI, 482 p. : ill.) |
| Altri autori (Persone) | Bakstein, David |
| Soggetto topico |
60-XX - Probability theory and stochastic processes [MSC 2020]
60Fxx - Limit theorems in probability theory [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 60Hxx - Stochastic analysis [MSC 2020] 60Jxx - Markov processes [MSC 2020] 91Gxx - Actuarial science and mathematical finance [MSC 2020] 92Bxx - Mathematical biology in general [MSC 2020] 93Exx - Stochastic systems and control [MSC 2020] |
| Soggetto non controllato |
Brownian Motion
Interacting particle systems Ito Calculus Lévy processes Quantitative Finance Stochastic Differential Equations Stochastic processes |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This textbook, now in its third edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, the work features concrete examples of modeling real-world problems from biology, medicine, industrial applications, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Key topics include: Markov processes Stochastic differential equations Arbitrage-free markets and financial derivatives Insurance risk Population dynamics, and epidemics Agent-based models New to the Third Edition: Infinitely divisible distributions Random measures Levy processes Fractional Brownian motion Ergodic theory Karhunen-Loeve expansion Additional applications Additional exercises Smoluchowski approximation of Langevin systems An Introduction to Continuous-Time Stochastic Processes, Third Edition will be ofinterest to a broad audience of students, pure and applied mathematicians, and researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering. Suitable as a textbook for graduate or undergraduate courses, as well as European Masters courses (according to the two-year-long second cycle of the “Bologna Scheme”), the work may also be used for self-study or as a reference. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. From reviews of previous editions: "The book is ... an account of fundamental concepts as they appear in relevant modern applications and literature. ... The book addresses three main groups: first, mathematicians working in a different field; second, other scientists and professionals from a business or academic background; third, graduate or advanced undergraduate students of a quantitative subject related to stochastic theory and/or applications." -Zentralblatt MATH |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113111 |
|
Capasso, Vincenzo, matematico
|
||
| New York, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
