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Estimation

Qin Duo

in The Formation of Econometrics: A Historical Perspective

Published in print:
1997
Published Online:
November 2003
ISBN:
9780198292876
eISBN:
9780191596803
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198292872.003.0004
Subject:
Economics and Finance, History of Economic Thought, Econometrics

Narrates the process of how estimation was formalized. Estimation can be seen as the genesis of econometrics, since finding estimates for coefficients of economically meaningful relationships has ... More


On the application of the method of least squares to some cases, in which a combination of certain types of inhomogeneous random sources of errors gives these a ‘systematic’ character

T. N. Thiele

in Thiele: Pioneer in Statistics

Published in print:
2002
Published Online:
September 2007
ISBN:
9780198509721
eISBN:
9780191709197
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509721.003.0002
Subject:
Mathematics, Probability / Statistics

This chapter presents Thiele's first paper on the method of least squares. This paper was so far ahead of its time that only a few appreciated the results. Thiele's recursive algorithm developed in ... More


PRO-SUBJECTIVE APPROACH LOSES AS SAMPLING THEORY GAINS GROUND

Shoutir Kishore Chatterjee

in Statistical Thought: A Perspective and History

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525318
eISBN:
9780191711657
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525318.003.0008
Subject:
Mathematics, Probability / Statistics

In the first half of the 19th century, Laplace, Gauss, and a number of other contributors enriched statistical thought. The quest for a suitable model for the distribution of observational errors led ... More


Doing Data Analysis with the Multilevel Model for Change

Judith D. Singer and John B. Willett

in Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence

Published in print:
2003
Published Online:
September 2009
ISBN:
9780195152968
eISBN:
9780199864980
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195152968.003.0004
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

This chapter delves deeper into the specification, estimation, and interpretation of the multilevel model for change. Following introduction of a new data set, it presents a composite formulation of ... More


Numerical Techniques

Claus Munk

in Fixed Income Modelling

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199575084
eISBN:
9780191728648
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575084.003.0016
Subject:
Economics and Finance, Financial Economics

Numerical procedures — computer-implemented algorithms — have to be applied in order to price assets with early exercise features and assets with complicated payoff structures. This chapter ... More


At Least Squares

Steven J. Osterlind

in The Error of Truth: How History and Mathematics Came Together to Form Our Character and Shape Our Worldview

Published in print:
2019
Published Online:
January 2019
ISBN:
9780198831600
eISBN:
9780191869532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198831600.003.0007
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter focuses on the next important mathematical invention: the method of least squares. First, it sets the historical context for its invention by describing the events in France and Germany ... More


The Finite Element Method: A Review

J. N. Reddy

in An Introduction to Nonlinear Finite Element Analysis, 2nd Edn: with applications to heat transfer, fluid mechanics, and solid mechanics

Published in print:
2014
Published Online:
June 2015
ISBN:
9780199641758
eISBN:
9780191789557
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641758.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter reviews the basic steps involved in the finite element model development as applied to one- and two-dimensional problems described by typical linear second-order differential equations ... More


Bivariate and Multivariate Linear Regression Analysis

Karen A. Randolph and Laura L. Myers

in Basic Statistics in Multivariate Analysis

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199764044
eISBN:
9780199332533
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199764044.003.0005
Subject:
Social Work, Research and Evaluation

Chapter 5 provides a description of bivariate and multiple linear regression analysis. The chapter begins with a description of the basic statistics that are important in linear regression analysis ... More


Universal kriging

Georges Matheron

Vera Pawlowsky-Glahn and Jean Serra (eds)

in Matheron's Theory of Regionalised Variables

Published in print:
2019
Published Online:
June 2019
ISBN:
9780198835660
eISBN:
9780191873249
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198835660.003.0005
Subject:
Mathematics, Applied Mathematics

This chapter discusses universal kriging, the kriging of a random function Z(x) which is not intrinsic and exhibits an expectation E [Z(x)] = m(x) variable over the space. For the function m(x), ... More


Moment and Least-Squares Based Approaches to Meta-analytic Inference

Michael S. Rosenberg

in Handbook of Meta-analysis in Ecology and Evolution

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691137285
eISBN:
9781400846184
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691137285.003.0009
Subject:
Biology, Ecology

Chapter 8 introduced variance and structural models and various statistical inference approaches used in meta-analysis. This chapter describes the basic details behind the moment and least-squares ... More


Averaging and Simple Models

Ilya Polyak

in Title Pages

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195099997
eISBN:
9780197560938
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195099997.003.0004
Subject:
Computer Science, Mathematical Theory of Computation

Simple linear procedures for processing correlated observations are considered and interpreted in this chapter. Primarily, they present different schemes for averaging ... More


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