Testing The Martingale Hypothesis
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Author | : Terence C. Mills |
Publisher | : Palgrave Handbook of Econometr |
Total Pages | : 1432 |
Release | : 2009-06-25 |
Genre | : Business & Economics |
ISBN | : |
Palgrave Handbooks of Econometrics comprises 'landmark' essays by the world's leading scholars and provides authoritative guidance in key areas of econometrics. With definitive contributions on the subject, the Handbook is an essential source for reference for professional econometricians, economists, researchers and students. Following the successful Palgrave Handbook of Econometrics: Volume 1, this second volume brings together leading academics working in econometrics today and explores applied econometrics. Volume 2 contains contributions on subjects including growth/development econometrics, computing, microeconomics, macroeconomics, finance, spatial and urban economics and international economics.
Author | : P. Hall |
Publisher | : Academic Press |
Total Pages | : 321 |
Release | : 2014-07-10 |
Genre | : Mathematics |
ISBN | : 1483263223 |
Martingale Limit Theory and Its Application discusses the asymptotic properties of martingales, particularly as regards key prototype of probabilistic behavior that has wide applications. The book explains the thesis that martingale theory is central to probability theory, and also examines the relationships between martingales and processes embeddable in or approximated by Brownian motion. The text reviews the martingale convergence theorem, the classical limit theory and analogs, and the martingale limit theorems viewed as the rate of convergence results in the martingale convergence theorem. The book explains the square function inequalities, weak law of large numbers, as well as the strong law of large numbers. The text discusses the reverse martingales, martingale tail sums, the invariance principles in the central limit theorem, and also the law of the iterated logarithm. The book investigates the limit theory for stationary processes via corresponding results for approximating martingales and the estimation of parameters from stochastic processes. The text can be profitably used as a reference for mathematicians, advanced students, and professors of higher mathematics or statistics.
Author | : |
Publisher | : World Scientific |
Total Pages | : 410 |
Release | : 2004 |
Genre | : Business & Economics |
ISBN | : 9812702857 |
This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and L(r)vy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings)OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)OCo Index to Social Sciences & Humanities Proceedings- (ISSHP- / ISI Proceedings)OCo Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)OCo CC Proceedings OCo Engineering & Physical Sciences"
Author | : Jiro Akahori |
Publisher | : World Scientific |
Total Pages | : 410 |
Release | : 2004-07-06 |
Genre | : Mathematics |
ISBN | : 9814483095 |
This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and Lévy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings® (ISSHP® / ISI Proceedings)• Index to Social Sciences & Humanities Proceedings (ISSHP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Author | : Jiro Akahori |
Publisher | : World Scientific |
Total Pages | : 410 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 9812387781 |
This book contains articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and Levy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance. Examples of topics are applications of Malliavin calculus and numerical analysis to a new simulation scheme for calculating the price of financial derivatives, applications of the asymptotic expansion method in Malliavin calculus to financial problems, semimartingale decompositions under an enlargement of filtrations in connection with insider problems, and the problem of transaction costs in connection with stochastic control and optimization problems.
Author | : Per K. Andersen |
Publisher | : Springer Science & Business Media |
Total Pages | : 779 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461243483 |
Modern survival analysis and more general event history analysis may be effectively handled within the mathematical framework of counting processes. This book presents this theory, which has been the subject of intense research activity over the past 15 years. The exposition of the theory is integrated with careful presentation of many practical examples, drawn almost exclusively from the authors'own experience, with detailed numerical and graphical illustrations. Although Statistical Models Based on Counting Processes may be viewed as a research monograph for mathematical statisticians and biostatisticians, almost all the methods are given in concrete detail for use in practice by other mathematically oriented researchers studying event histories (demographers, econometricians, epidemiologists, actuarial mathematicians, reliability engineers and biologists). Much of the material has so far only been available in the journal literature (if at all), and so a wide variety of researchers will find this an invaluable survey of the subject.
Author | : Terence C. Mills |
Publisher | : Springer |
Total Pages | : 1406 |
Release | : 2009-06-25 |
Genre | : Business & Economics |
ISBN | : 0230244408 |
Following theseminal Palgrave Handbook of Econometrics: Volume I , this second volume brings together the finestacademicsworking in econometrics today andexploresapplied econometrics, containing contributions onsubjects includinggrowth/development econometrics and applied econometrics and computing.
Author | : J. L. Doob |
Publisher | : Springer Science & Business Media |
Total Pages | : 865 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461252083 |
Potential theory and certain aspects of probability theory are intimately related, perhaps most obviously in that the transition function determining a Markov process can be used to define the Green function of a potential theory. Thus it is possible to define and develop many potential theoretic concepts probabilistically, a procedure potential theorists observe withjaun diced eyes in view of the fact that now as in the past their subject provides the motivation for much of Markov process theory. However that may be it is clear that certain concepts in potential theory correspond closely to concepts in probability theory, specifically to concepts in martingale theory. For example, superharmonic functions correspond to supermartingales. More specifically: the Fatou type boundary limit theorems in potential theory correspond to supermartingale convergence theorems; the limit properties of monotone sequences of superharmonic functions correspond surprisingly closely to limit properties of monotone sequences of super martingales; certain positive superharmonic functions [supermartingales] are called "potentials," have associated measures in their respective theories and are subject to domination principles (inequalities) involving the supports of those measures; in each theory there is a reduction operation whose properties are the same in the two theories and these reductions induce sweeping (balayage) of the measures associated with potentials, and so on.
Author | : Halbert White |
Publisher | : Cambridge University Press |
Total Pages | : 396 |
Release | : 1996-06-28 |
Genre | : Business & Economics |
ISBN | : 9780521574464 |
This book examines the consequences of misspecifications for the interpretation of likelihood-based methods of statistical estimation and interference. The analysis concludes with an examination of methods by which the possibility of misspecification can be empirically investigated.
Author | : |
Publisher | : ScholarlyEditions |
Total Pages | : 169 |
Release | : 2013-01-10 |
Genre | : Mathematics |
ISBN | : 1481647636 |
Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Nonlinear Research. The editors have built Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Nonlinear Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Calculus, Mathematical Analysis, and Nonlinear Research: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.