Probability Theory and Stochastic Modelling Ser. ;
مشخصه جلد
v. 94
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
Preliminaries and elementary examples -- Discrete time processes -- Continuous time processes -- Monte Carlo approximation.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic systems. A feature of the book is the systematic use of variational representations for quantities of interest such as normalized logarithms of probabilities and expected values. By characterizing a large deviation principle in terms of Laplace asymptotics, one converts the proof of large deviation limits into the convergence of variational representations. These features are illustrated though their application to a broad range of discrete and continuous time models, including stochastic partial differential equations, processes with discontinuous statistics, occupancy models, and many others. The tools used in the large deviation analysis also turn out to be useful in understanding Monte Carlo schemes for the numerical approximation of the same probabilities and expected values. This connection is illustrated through the design and analysis of importance sampling and splitting schemes for rare event estimation. The book assumes a solid background in weak convergence of probability measures and stochastic analysis, and is suitable for advanced graduate students, postdocs and researchers.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix.9781493995790
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Analysis and Approximation of Rare Events : Representations and Weak Convergence Methods.
شماره استاندارد بين المللي کتاب و موسيقي
9781493995776
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Approximation theory.
موضوع مستند نشده
Convergence.
موضوع مستند نشده
Approximation theory.
موضوع مستند نشده
Convergence.
رده بندی ديویی
شماره
511/
.
4
ويراست
23
رده بندی کنگره
شماره رده
QA221
شماره رده
QA273
.
A1-274
.
9QA274-
نشانه اثر
.
B83
2019
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )