E Book

Theory of Stochastic Differential Equations with Jumps and Applications

---

Stochastic Differential Equations with Jumps in Rd -- Martingale Theory and the Stochastic Integral for Point Processes -- Brownian Motion, Stochastic Integral and Ito's Formula -- Stochastic Differential Equations -- Some Useful Tools in Stochastic Differential Equations -- Stochastic Differential Equations with Non-Lipschitzian Coefficients -- Applications -- How to Use the Stochastic Calculus to Solve SDE -- Linear and Non-linear Filtering -- Option Pricing in a Financial Market and BSDE -- Optimal Consumption by H-J-B Equation and Lagrange Method -- Comparison Theorem and Stochastic Pathwise Control -- Stochastic Population Control and Reflecting SDE -- Maximum Principle for Stochastic Systems with Jumps.This book is written for people who are interested in stochastic differential equations (SDEs) and their applications. It shows how to introduce and define the Ito integrals, to establish Ito’s differential rule (the so-called Ito formula), to solve the SDEs, and to establish Girsanov’s theorem and obtain weak solutions of SDEs. It also shows how to solve the filtering problem, to establish the martingale representation theorem, to solve the option pricing problem in a financial market, and to obtain the famous Black-Scholes formula, along with other results. In particular, the book will provide the reader with the backward SDE technique for use in research when considering financial problems in the market, and with the reflecting SDE technique to enable study of optimal stochastic population control problems. These two techniques are powerful and efficient, and can also be applied to research in many other problems in nature, and science. Theory of Stochastic Differential Equations with Jumps and Applications will be a valuable reference for grad students and professionals in physics, chemistry, biology, engineering, finance and mathematics who are interested in problems such as the following: mathematical description and analysis of stocks and shares; option pricing, optimal consumption, arbitrage-free markets; control theory and stochastic control theory and their applications; non-linear filtering problems with jumps; population control.

---

Ketersediaan

Tidak ada salinan data

Informasi Detail

Judul Seri

-

No. Panggil

-

Penerbit

Boston, MA : Springer., 2005

Deskripsi Fisik

XX, 434 p.online resource.

Bahasa

English

ISBN/ISSN

9780387251752

Klasifikasi

519

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

1st ed.

Subjek

Applied mathematics.
Engineering mathematics.
Mathematical and Computational Engineering.
Probabilities.
Probability Theory and Stochastic Processes.
Mathematical physics.
Applications of Mathematics.
Fluid mechanics.
Engineering Fluid Dynamics.
Mathematical analysis.
Analysis (Mathematics).
Analysis.
Theoretical, Mathematical and Computational Physics.

Info Detail Spesifik

-

Pernyataan Tanggungjawab

Rong SITU.

Versi lain/terkait

Lampiran Berkas

Komentar

---

Anda harus masuk sebelum memberikan komentar