# Multiparametric Statistics

This book PDF is perfect for those who love Mathematics genre, written by Vadim Ivanovich Serdobolskii and published by Elsevier which was released on 18 October 2007 with total hardcover pages 334. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Multiparametric Statistics books below.

 Author : Vadim Ivanovich Serdobolskii File Size : 47,5 Mb Publisher : Elsevier Language : English Release Date : 18 October 2007 ISBN : 0080555926 Pages : 334 pages

## Multiparametric Statistics by Vadim Ivanovich Serdobolskii Book PDF Summary

This monograph presents mathematical theory of statistical models described by the essentially large number of unknown parameters, comparable with sample size but can also be much larger. In this meaning, the proposed theory can be called "essentially multiparametric". It is developed on the basis of the Kolmogorov asymptotic approach in which sample size increases along with the number of unknown parameters. This theory opens a way for solution of central problems of multivariate statistics, which up until now have not been solved. Traditional statistical methods based on the idea of an infinite sampling often break down in the solution of real problems, and, dependent on data, can be inefficient, unstable and even not applicable. In this situation, practical statisticians are forced to use various heuristic methods in the hope the will find a satisfactory solution. Mathematical theory developed in this book presents a regular technique for implementing new, more efficient versions of statistical procedures. Near exact solutions are constructed for a number of concrete multi-dimensional problems: estimation of expectation vectors, regression and discriminant analysis, and for the solution to large systems of empiric linear algebraic equations. It is remarkable that these solutions prove to be not only non-degenerating and always stable, but also near exact within a wide class of populations. In the conventional situation of small dimension and large sample size these new solutions far surpass the classical, commonly used consistent ones. It can be expected in the near future, for the most part, traditional multivariate statistical software will be replaced by the always reliable and more efficient versions of statistical procedures implemented by the technology described in this book. This monograph will be of interest to a variety of specialists working with the theory of statistical methods and its applications. Mathematicians would find new classes of urgent problems to be solved in their own regions. Specialists in applied statistics creating statistical packages will be interested in more efficient methods proposed in the book. Advantages of these methods are obvious: the user is liberated from the permanent uncertainty of possible instability and inefficiency and gets algorithms with unimprovable accuracy and guaranteed for a wide class of distributions. A large community of specialists applying statistical methods to real data will find a number of always stable highly accurate versions of algorithms that will help them to better solve their scientific or economic problems. Students and postgraduates will be interested in this book as it will help them get at the foremost frontier of modern statistical science. - Presents original mathematical investigations and open a new branch of mathematical statistics - Illustrates a technique for developing always stable and efficient versions of multivariate statistical analysis for large-dimensional problems - Describes the most popular methods some near exact solutions; including algorithms of non-degenerating large-dimensional discriminant and regression analysis

### Multiparametric Statistics by Vadim Ivanovich Serdobolskii

This monograph presents mathematical theory of statistical models described by the essentially large number of unknown parameters, comparable with sample size but can also be much larger. In this meaning, the proposed theory can be called "essentially multiparametric". It is developed on the basis of the Kolmogorov asymptotic approach in

### Single Molecule Tools Part B Super Resolution Particle Tracking Multiparameter and Force Based Methods by Anonim

Single molecule tools have begun to revolutionize the molecular sciences, from biophysics to chemistry to cell biology. They hold the promise to be able to directly observe previously unseen molecular heterogeneities, quantitatively dissect complex reaction kinetics, ultimately miniaturize enzyme assays, image components of spatially distributed samples, probe the mechanical properties

### Introduction to the Science of Medical Imaging by R. Nick Bryan,Robert Nick Bryan

This landmark text from world-leading radiologist describes and illustrates how imaging techniques are created, analyzed and applied to biomedical problems.

### Mathematical Theory of Statistics by Helmut Strasser

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to

### Statistics in the 21st Century by Martin A. Tanner,Martin T. Wells

Exactly what is the state of the art in statistics as we move forward into the 21st century? What promises, what trends does its future hold? Through the reflections of 70 of the world's leading statistical methodologists, researchers, theorists, and practitioners, Statistics in the 21st Century answers those questions. Originally published

### All of Statistics by Larry Wasserman

Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It

### Mathematical Statistics for Economics and Business by Ron C. Mittelhammer

A comprehensive introduction to the principles underlying statistical analyses in the fields of economics, business, and econometrics. The selection of topics is specifically designed to provide students with a substantial conceptual foundation, from which to achieve a thorough and mature understanding of statistical applications within the fields. After introducing the

### Probability Theory and Mathematical Statistics Vol 2 by Anonim

Download or read online Probability Theory and Mathematical Statistics Vol 2 written by Anonim, published by Walter de Gruyter GmbH & Co KG which was released on 2020-05-26. Get Probability Theory and Mathematical Statistics Vol 2 Books now! Available in PDF, ePub and Kindle.