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Pseudosolution of Linear Functional Equations

Parameters Estimation of Linear Functional Relationships

  • Alexander S. Mechenov

Part of the Mathematics and Its Applications book series (MAIA, volume 576)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Back Matter
    Pages 213-238

About this book

Introduction

This book presents the author’s new method of two-stage maximization of likelihood function, which helps to solve a series of non-solving before the well-posed and ill-posed problems of pseudosolution computing systems of linear algebraic equations (or, in statistical terminology, parameters’ estimators of functional relationships) and linear integral equations in the presence of deterministic and random errors in the initial data. This book, for the first time, presents a solution of the problem of reciprocal influence of passive errors of regressors and of active errors of predictors by computing point estimators of functional relationships.

Audience

This book is intended for students, postgraduate students, scientists, and other researchers on handling economical and technical data. The book is especially intended for those who constantly use regression analysis in their own research and for those who create the mathematical software for computers.

Keywords

functional equation integral integral equation linear algebra

Authors and affiliations

  • Alexander S. Mechenov
    • 1
  1. 1.Moscow State UniversityRussia

Bibliographic information

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