Asymptotic Statistics in Insurance Risk Theory, Shimizu Yasutaka
Автор: Manfred Denker; Rabi Bhattacharya Название: Asymptotic Statistics ISBN: 3764322829 ISBN-13(EAN): 9783764322823 Издательство: Springer Рейтинг: Цена: 4191.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These notes are based on lectures presented during the seminar on " Asymptotic Statistics" held at SchloB Reisensburg, Gunzburg, May 29-June 5, 1988. They consist of two parts, the theory of asymptotic expansions in statistics and probabilistic aspects of the asymptotic distribution theory in nonparametric statistics. Our intention is to provide a comprehensive presentation of these two subjects, leading from elementary facts to the advanced theory and recent results. Prospects for further research are also included. We would like to thank all participants for their stimulating discussions and their interest in the subjects, which made lecturing very pleasant. Special thanks are due H. Zimmer for her excellent typing. We would also like to take this opportunity to to express our thanks to the Gesellschaft fur mathematische Forschung and to the Deutsche Mathematiker Vereinigung, especially to Professor G. Fischer, for the opportunity to present these lectures and to the Birkhauser Verlag for the publication of these lecture notes. R. Bhattacharya, M. Denker Part I: Asymptotic Expansions in Statistics Rabi Bhattacharya 11 1. CRAMER-EDGEWORTH EXPANSIONS Let Q be a probability measure on (IRk, B"), B" denoting the Borel sigmafield on IR". Assume that the s - th absolute moment of Q is finite, (1.1) P.: = J II x lis Q(dx)
Автор: Donald Dawson; Rafal Kulik; Mohamedou Ould Haye; B Название: Asymptotic Laws and Methods in Stochastics ISBN: 1493950118 ISBN-13(EAN): 9781493950119 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Preface.- Weak Convergence of Self-normalized Sums Processes (M. Csцrgő, Z. Hu).- Precise Asymptotics in Strong Limit Theorems for Self-normalized Sums of Multidimensionally Indexed Random Variables (D. Deng, Z. Hu).- The Self-normalized Asymptotic Results for Linear Processes (M. Peligrad, H. Sang).- Some results and problems for anisotropic random walk on the plane (E. Csбki, A. Fцldes, P. Rйvйsz).- On the Area of the Largest Square Covered by a Comb-Random-Walk (P. Rйvйsz).- A Compensator Characterization of Planar Point Processes (G. Ivanoff).- Central Limit Theorem Related to MDR-method (A. Bulinski).- An Extension of a Theorem of Hechner and Heinkel (D. Li, Y. Qi, A. Rosalsky).- Quenched Invariance Principles via Martingale Approximation (M. Peligrad).- An Extended Martingale Limit Theorem with Application to Specification Test for Nonlinear Co-integrating Regression Model (Q. Wang).- Change Point Detection with Stable AR(1) Errors (A. Bazarova, I. Berkes, L. Horvath).- Change-point Detection Under Dependence Based on Two-sample U-statistics (H. Dehling, R. Fried, I. Garcia, M. Wendler).- Time Series Models in Change Point Detection Tests (E. Gombay).- Diagnostic Test for Innovations of ARMA Musing Empirical processes of Residuals (K. Ghoudi, B. Remillard).- Short Range and Long Range Dependence (M. Rosenblatt).- Kernel Method for Stationary Tails: from Discrete to Continuous (H. Dai, D. Dawson, Y. Zhao).- Central Limit Theorems and Large Deviations for Additive Functionals of Reflecting Diffusion Processes (P. Glynn, R. Wang).- Kellerer's Theorem Revisited (F. Hirsch, B. Roynette, M. Yor).- Likelihood and Ranking Methods (M. Alvo).- Asymptotic and Finite-sample Properties in Statistical Estimation (J. Jurečkovб).- Publications of Miklόs Csцrgő.
Автор: Helmut Rieder Название: Robust Asymptotic Statistics ISBN: 1468406264 ISBN-13(EAN): 9781468406269 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1 To the king, my lord, from your servant Balasi : 2 ... Maybe the scribe who reads to the king did not understand . Functionals extend the parameter of the assumed ideal center model to neighborhoods of this model that contain the actual distri- bution.
Автор: N. Balakrishnan; I.A.V.B. Ibragimov; V.B. Nevzorov Название: Asymptotic Methods in Probability and Statistics with Applications ISBN: 0817642145 ISBN-13(EAN): 9780817642143 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The conference was organized jointly by St. Petersburg State University, St. Petersburg branch of Mathematical Institute, and the Euler Institute, and was partially sponsored by the Russian Foundation of Basic Researches.
Автор: Fujikoshi Yasunori, Ulyanov Vladimir V. Название: Non-Asymptotic Analysis of Approximations for Multivariate Statistics ISBN: 9811326150 ISBN-13(EAN): 9789811326158 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents recent non-asymptotic results for approximations in multivariate statistical analysis. It then introduces new areas of research in high-dimensional approximations for bootstrap procedures, Cornish-Fisher expansions, power-divergence statistics and approximations of statistics based on observations with random sample size.
Автор: Manfred Denker; Rabi Bhattacharya Название: Asymptotic Statistics ISBN: 3034899645 ISBN-13(EAN): 9783034899642 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These notes are based on lectures presented during the seminar on " Asymptotic Statistics" held at SchloB Reisensburg, Gunzburg, May 29-June 5, 1988. They consist of two parts, the theory of asymptotic expansions in statistics and probabilistic aspects of the asymptotic distribution theory in nonparametric statistics. Our intention is to provide a comprehensive presentation of these two subjects, leading from elementary facts to the advanced theory and recent results. Prospects for further research are also included. We would like to thank all participants for their stimulating discussions and their interest in the subjects, which made lecturing very pleasant. Special thanks are due H. Zimmer for her excellent typing. We would also like to take this opportunity to to express our thanks to the Gesellschaft fur mathematische Forschung and to the Deutsche Mathematiker Vereinigung, especially to Professor G. Fischer, for the opportunity to present these lectures and to the Birkhauser Verlag for the publication of these lecture notes. R. Bhattacharya, M. Denker Part I: Asymptotic Expansions in Statistics Rabi Bhattacharya 11 1. CRAMER-EDGEWORTH EXPANSIONS Let Q be a probability measure on (IRk, B"), B" denoting the Borel sigmafield on IR". Assume that the s - th absolute moment of Q is finite, (1.1) P.: = J II x lis Q(dx)
Автор: Reinhard Hopfner Название: Asymptotic Statistics: With a View to Stochastic Processes ISBN: 3110250241 ISBN-13(EAN): 9783110250244 Издательство: Walter de Gruyter Цена: 7429.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook is devoted to the general asymptotic theory of statistical experiments. Local asymptotics for statistical models in the sense of local asymptotic (mixed) normality or local asymptotic quadraticity make up the core of the book. Numerous examples deal with classical independent and identically distributed models and with stochastic processes. The book can be read in different ways, according to possibly different mathematical preferences of the reader. One reader may focus on the statistical theory, and thus on the chapters about Gaussian shift models, mixed normal and quadratic models, and on local asymptotics where the limit model is a Gaussian shift or a mixed normal or a quadratic experiment (LAN, LAMN, LAQ). Another reader may prefer an introduction to stochastic process models where given statistical results apply, and thus concentrate on subsections or chapters on likelihood ratio processes and some diffusion type models where LAN, LAMN or LAQ occurs. Finally, readers might put together both aspects. The book is suitable for graduate students starting to work in statistics of stochastic processes, as well as for researchers interested in a precise introduction to this area.
Автор: Anirban DasGupta Название: Asymptotic Theory of Statistics and Probability ISBN: 1461498848 ISBN-13(EAN): 9781461498841 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools.
Автор: Dasgupta, Anirban Название: Asymptotic theory of statistics and probability ISBN: 0387759700 ISBN-13(EAN): 9780387759708 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory, dealing with both statistical problems and probabilistic issues and tools.
Описание: An overview of the asymptotic theory of optimal nonparametric tests is presented in this book. It covers a wide range of topics: Neyman-Pearson and LeCam's theories of optimal tests, the theories of empirical processes and kernel estimators with extensions of their applications to the asymptotic behavior of tests for distribution functions, densities and curves of the nonparametric models defining the distributions of point processes and diffusions. With many new test statistics developed for smooth curves, the reliance on kernel estimators with bias corrections and the weak convergence of the estimators are useful to prove the asymptotic properties of the tests, extending the coverage to semiparametric models. They include tests built from continuously observed processes and observations with cumulative intervals.
Название: Large deviations and asymptotic methods in finance ISBN: 3319116045 ISBN-13(EAN): 9783319116044 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Hagan, Lesniewski, Woodward: Probability Distribution in the SABR Model of Stochastic Volatility.- Paulot: Asymptotic Implied Volatility at the Second Order with Application to the SABR Model.- Henry-Labordere: Unifying the BGM and SABR Models: A Short Ride in Hyperbolic Geometry.- Ben Arous, Laurence: Second Order Expansion for Implied Volatility in Two Factor Local-stochastic Volatility.- Osajima: General Asymptotics of Wiener Functionals and Application to Implied Volatilities.- Bayer, Laurence: Small-time asymptotics for the at-the-money implied volatility in a multi-dimensional local volatility model.- Keller-Ressel, Teichmann: A Remark on Gatheral's 'Most-likely Path Approximation' of Implied Volatility.- Gatheral, Wang: Implied volatility from local volatility: a path integral approach.- Gerhold, Friz: Don't Stay Local - Extrapolation Analytics for Dupire's Local Volatility.- Gulisashvili, Teichmann: Laplace Principle Expansions and Short Time Asymptotics for Affine Processes.- Lorig, Pascucci, Pagliarani: Asymptotics for d-dimensional Levy-type Processes.- Takahashi: An Asymptotic Expansion Approach in Finance.- Baudoin, Ouyang: On small time asymptotics for rough differential equations driven by fractional Brownian motions.- Lucic: On singularities in the Heston model.- Bayer, Friz, Laurence: On the probability density function of baskets.- Conforti, De Marco, Deuschel: On small-noise equations with degenerate limiting system arising from volatility models.- Pham: Long time asymptotic problems for optimal investment.- Spiliopoulos: Systemic Risk and Default Clustering for Large Financial Systems.- Jacod, Rosenbaum: Asymptotic Properties of a Volatility Estimator.
Автор: Nicolay, David Название: Asymptotic Chaos Expansions in Finance ISBN: 1447165055 ISBN-13(EAN): 9781447165057 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Stochastic instantaneous volatility models such as Heston, SABR or SV-LMM have mostly been developed to control the shape and joint dynamics of the implied volatility surface.
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