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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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