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Author : Dennis D. Boos
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (833 download)
Download or read book Rates of Convergence for the Distance Between Distribution Function Estimators written by Dennis D. Boos and published by . This book was released on 1981 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. F. Cheng
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (227 download)
Download or read book On Rates of Convergence in the L2 Norm of Nonparametric Probability Density Estimates written by K. F. Cheng and published by . This book was released on 1979 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: For estimation of a probability density function f by an empirical probability density function f sub n based on a sample of size n from f, a useful measure of distance is the L2-norm. Considerable study of the rate of mean square convergence of abs. val. (f sub n-f) to 0 has taken place. This paper investigates the rate of almost sure convergence of abs. val. (f sub n-f) to 0. Application to certain estimation problems in nonparametric inference is discussed.
Author : Yannis G. Yatracos
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (29 download)
Download or read book Uniformly Consistent Estimates and Rates of Convergence Via Minimum Distance Methods written by Yannis G. Yatracos and published by . This book was released on 1983 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth Henry Sutrick
Publisher :
ISBN 13 :
Total Pages : 370 pages
Book Rating : 4.:/5 (29 download)
Download or read book Rates of Convergence for Estimation and Testing in Multinomial Distributions written by Kenneth Henry Sutrick and published by . This book was released on 1979 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald D. Swain
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.F/5 ( download)
Download or read book Bounds and Rates of Convergence for the Extended Compound Estimation Problem in the Sequence Case written by Donald D. Swain and published by . This book was released on 1965 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B. Grigelionis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311231932X
Total Pages : 752 pages
Book Rating : 4.1/5 (123 download)
Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".
Author : Sergey Bobkov
Publisher : American Mathematical Soc.
ISBN 13 : 1470436507
Total Pages : 126 pages
Book Rating : 4.4/5 (74 download)
Download or read book One-Dimensional Empirical Measures, Order Statistics, and Kantorovich Transport Distances written by Sergey Bobkov and published by American Mathematical Soc.. This book was released on 2019-12-02 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is devoted to the study of rates of convergence of the empirical measures μn=1n∑nk=1δXk, n≥1, over a sample (Xk)k≥1 of independent identically distributed real-valued random variables towards the common distribution μ in Kantorovich transport distances Wp. The focus is on finite range bounds on the expected Kantorovich distances E(Wp(μn,μ)) or [E(Wpp(μn,μ))]1/p in terms of moments and analytic conditions on the measure μ and its distribution function. The study describes a variety of rates, from the standard one 1n√ to slower rates, and both lower and upper-bounds on E(Wp(μn,μ)) for fixed n in various instances. Order statistics, reduction to uniform samples and analysis of beta distributions, inverse distribution functions, log-concavity are main tools in the investigation. Two detailed appendices collect classical and some new facts on inverse distribution functions and beta distributions and their densities necessary to the investigation.
Author : Jiahua Chen
Publisher : Springer Nature
ISBN 13 : 9819961416
Total Pages : 330 pages
Book Rating : 4.8/5 (199 download)
Download or read book Statistical Inference Under Mixture Models written by Jiahua Chen and published by Springer Nature. This book was released on 2023-12-24 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts its weight on theoretical issues related to finite mixture models. It shows that a good applicant, is an applicant who understands the issues behind each statistical method. This book is intended for applicants whose interests include some understanding of the procedures they are using, while they do not have to read the technical derivations. At the same time, many researchers find most theories and techniques necessary for the development of various statistical methods, without chasing after one set of research papers, after another. Even though the book emphasizes the theory, it provides accessible numerical tools for data analysis. Readers with strength in developing statistical software, may find it useful.
Author : Ayanendranath Basu
Publisher : CRC Press
ISBN 13 : 1420099663
Total Pages : 424 pages
Book Rating : 4.4/5 (2 download)
Download or read book Statistical Inference written by Ayanendranath Basu and published by CRC Press. This book was released on 2011-06-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many ways, estimation by an appropriate minimum distance method is one of the most natural ideas in statistics. However, there are many different ways of constructing an appropriate distance between the data and the model: the scope of study referred to by "Minimum Distance Estimation" is literally huge. Filling a statistical resource gap, Stati
Author : Odile Pons
Publisher : World Scientific
ISBN 13 : 9814343749
Total Pages : 210 pages
Book Rating : 4.8/5 (143 download)
Download or read book Functional Estimation for Density, Regression Models and Processes written by Odile Pons and published by World Scientific. This book was released on 2011 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified approach on nonparametric estimators for models of independent observations, jump processes and continuous processes. New estimators are defined and their limiting behavior is studied. From a practical point of view, the book
Author : David L. Allen
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (34 download)
Download or read book Strong Rates of Convergence for Differences Between the Sample Distribution Function and the Quantile Process written by David L. Allen and published by . This book was released on 1984 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Vapnik
Publisher : Springer Science & Business Media
ISBN 13 : 1475732643
Total Pages : 324 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Nature of Statistical Learning Theory written by Vladimir Vapnik and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to discuss the fundamental ideas which lie behind the statistical theory of learning and generalization. It considers learning as a general problem of function estimation based on empirical data. Omitting proofs and technical details, the author concentrates on discussing the main results of learning theory and their connections to fundamental problems in statistics. This second edition contains three new chapters devoted to further development of the learning theory and SVM techniques. Written in a readable and concise style, the book is intended for statisticians, mathematicians, physicists, and computer scientists.
Author : Odile Pons
Publisher : World Scientific
ISBN 13 : 9811272859
Total Pages : 259 pages
Book Rating : 4.8/5 (112 download)
Download or read book Functional Estimation For Density, Regression Models And Processes (Second Edition) written by Odile Pons and published by World Scientific. This book was released on 2023-09-22 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonparametric kernel estimators apply to the statistical analysis of independent or dependent sequences of random variables and for samples of continuous or discrete processes. The optimization of these procedures is based on the choice of a bandwidth that minimizes an estimation error and the weak convergence of the estimators is proved. This book introduces new mathematical results on statistical methods for the density and regression functions presented in the mathematical literature and for functions defining more complex models such as the models for the intensity of point processes, for the drift and variance of auto-regressive diffusions and the single-index regression models.This second edition presents minimax properties with Lp risks, for a real p larger than one, and optimal convergence results for new kernel estimators of function defining processes: models for multidimensional variables, periodic intensities, estimators of the distribution functions of censored and truncated variables, estimation in frailty models, estimators for time dependent diffusions, for spatial diffusions and for diffusions with stochastic volatility.
Author : Odile Pons
Publisher : World Scientific
ISBN 13 : 9814460613
Total Pages : 210 pages
Book Rating : 4.8/5 (144 download)
Download or read book Functional Estimation For Density, Regression Models And Processes written by Odile Pons and published by World Scientific. This book was released on 2011-03-21 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified approach on nonparametric estimators for models of independent observations, jump processes and continuous processes. New estimators are defined and their limiting behavior is studied. From a practical point of view, the book expounds on the construction of estimators for functionals of processes and densities, and provides asymptotic expansions and optimality properties from smooth estimators.It also presents new regular estimators for functionals of processes, compares histogram and kernel estimators, compares several new estimators for single-index models, and it examines the weak convergence of the estimators.
Author : Iosif Pinelis
Publisher : Academic Press
ISBN 13 : 0128098929
Total Pages : 200 pages
Book Rating : 4.1/5 (28 download)
Download or read book Inequalities and Extremal Problems in Probability and Statistics written by Iosif Pinelis and published by Academic Press. This book was released on 2017-05-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities and Extremal Problems in Probability and Statistics: Selected Topics presents various kinds of useful inequalities that are applicable in many areas of mathematics, the sciences, and engineering. The book enables the reader to grasp the importance of inequalities and how they relate to probability and statistics. This will be an extremely useful book for researchers and graduate students in probability, statistics, and econometrics, as well as specialists working across sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks. - Teaches users how to understand useful inequalities - Applicable across mathematics, sciences, and engineering - Presented by a team of leading experts
Author : Vyaghreswarudu Susarla
Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.3/5 (129 download)
Download or read book Rates of Convergence in Sequence-compound Squared-distance Loss Estimation and Two-action Problems written by Vyaghreswarudu Susarla and published by . This book was released on 1970 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Moshe Dror
Publisher : Springer
ISBN 13 : 0306481022
Total Pages : 770 pages
Book Rating : 4.3/5 (64 download)
Download or read book Modeling Uncertainty written by Moshe Dror and published by Springer. This book was released on 2019-11-05 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Uncertainty: An Examination of Stochastic Theory, Methods, and Applications, is a volume undertaken by the friends and colleagues of Sid Yakowitz in his honor. Fifty internationally known scholars have collectively contributed 30 papers on modeling uncertainty to this volume. Each of these papers was carefully reviewed and in the majority of cases the original submission was revised before being accepted for publication in the book. The papers cover a great variety of topics in probability, statistics, economics, stochastic optimization, control theory, regression analysis, simulation, stochastic programming, Markov decision process, application in the HIV context, and others. There are papers with a theoretical emphasis and others that focus on applications. A number of papers survey the work in a particular area and in a few papers the authors present their personal view of a topic. It is a book with a considerable number of expository articles, which are accessible to a nonexpert - a graduate student in mathematics, statistics, engineering, and economics departments, or just anyone with some mathematical background who is interested in a preliminary exposition of a particular topic. Many of the papers present the state of the art of a specific area or represent original contributions which advance the present state of knowledge. In sum, it is a book of considerable interest to a broad range of academic researchers and students of stochastic systems.
