Author: Kanchan MukherjeePublisher:
ISBN:
Category : Convergence
Languages : en
Pages : 150
Book Description
Weak Convergence of Weighted Empirical Processes Under Long Range Dependence with Applications to Robust Estimation in Linear Models
Author: Kanchan MukherjeePublisher:
ISBN:
Category : Convergence
Languages : en
Pages : 150
Book Description
Weighted Empiricals and Linear Models
Author: Hira L. KoulPublisher: IMS
ISBN: 9780940600287
Category : Autoregression (Statistics).
Languages : en
Pages : 286
Book Description
Weighted Empirical Processes in Dynamic Nonlinear Models
Author: Hira L. KoulPublisher: Springer Science & Business Media
ISBN: 146130055X
Category : Mathematics
Languages : en
Pages : 444
Book Description
This book presents a unified approach for obtaining the limiting distributions of minimum distance. It discusses classes of goodness-of-t tests for fitting an error distribution in some of these models and/or fitting a regression-autoregressive function without assuming the knowledge of the error distribution. The main tool is the asymptotic equi-continuity of certain basic weighted residual empirical processes in the uniform and L2 metrics.
Contemporary Developments in Statistical Theory
Author: Soumendra LahiriPublisher: Springer Science & Business Media
ISBN: 3319026518
Category : Mathematics
Languages : en
Pages : 395
Book Description
This volume highlights Prof. Hira Koul’s achievements in many areas of Statistics, including Asymptotic theory of statistical inference, Robustness, Weighted empirical processes and their applications, Survival Analysis, Nonlinear time series and Econometrics, among others. Chapters are all original papers that explore the frontiers of these areas and will assist researchers and graduate students working in Statistics, Econometrics and related areas. Prof. Hira Koul was the first Ph.D. student of Prof. Peter Bickel. His distinguished career in Statistics includes the receipt of many prestigious awards, including the Senior Humbolt award (1995), and dedicated service to the profession through editorial work for journals and through leadership roles in professional societies, notably as the past president of the International Indian Statistical Association. Prof. Hira Koul has graduated close to 30 Ph.D. students, and made several seminal contributions in about 125 innovative research papers. The long list of his distinguished collaborators is represented by the contributors to this volume.
Dissertation Abstracts International
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 658
Book Description
Notices of the American Mathematical Society
Author: American Mathematical SocietyPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728
Book Description
Mathematical Reviews
Author: Current Index to Statistics, Applications, Methods and Theory
Author: Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 948
Book Description
The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.
Theory and Applications of Long-Range Dependence
Author: Paul DoukhanPublisher: Springer Science & Business Media
ISBN: 9780817641689
Category : Mathematics
Languages : en
Pages : 744
Book Description
The area of data analysis has been greatly affected by our computer age. For example, the issue of collecting and storing huge data sets has become quite simplified and has greatly affected such areas as finance and telecommunications. Even non-specialists try to analyze data sets and ask basic questions about their structure. One such question is whether one observes some type of invariance with respect to scale, a question that is closely related to the existence of long-range dependence in the data. This important topic of long-range dependence is the focus of this unique work, written by a number of specialists on the subject. The topics selected should give a good overview from the probabilistic and statistical perspective. Included will be articles on fractional Brownian motion, models, inequalities and limit theorems, periodic long-range dependence, parametric, semiparametric, and non-parametric estimation, long-memory stochastic volatility models, robust estimation, and prediction for long-range dependence sequences. For those graduate students and researchers who want to use the methodology and need to know the "tricks of the trade," there will be a special section called "Mathematical Techniques." Topics in the first part of the book are covered from probabilistic and statistical perspectives and include fractional Brownian motion, models, inequalities and limit theorems, periodic long-range dependence, parametric, semiparametric, and non-parametric estimation, long-memory stochastic volatility models, robust estimation, prediction for long-range dependence sequences. The reader is referred to more detailed proofs if already found in the literature. The last part of the book is devoted to applications in the areas of simulation, estimation and wavelet techniques, traffic in computer networks, econometry and finance, multifractal models, and hydrology. Diagrams and illustrations enhance the presentation. Each article begins with introductory background material and is accessible to mathematicians, a variety of practitioners, and graduate students. The work serves as a state-of-the art reference or graduate seminar text.
Long-Range Dependence and Self-Similarity
Author: Vladas PipirasPublisher: Cambridge University Press
ISBN: 1107039460
Category : Business & Economics
Languages : en
Pages : 693
Book Description
A modern and rigorous introduction to long-range dependence and self-similarity, complemented by numerous more specialized up-to-date topics in this research area.