عنوان

Understanding least squares estimation and geomatics data analysis /

(Number (ISBN

1119501407

(Number (ISBN

111950144X

(Number (ISBN

1119501458

(Number (ISBN

9781119501404

(Number (ISBN

9781119501442

(Number (ISBN

9781119501459

Erroneous ISBN

1119501393

Erroneous ISBN

9781119501398

Title Proper

Understanding least squares estimation and geomatics data analysis /

General Material Designation

[Book]

First Statement of Responsibility

John Olusegun Ogundare.

Edition Statement

1st edition.

Place of Publication, Distribution, etc.

Hoboken, NJ :

Name of Publisher, Distributor, etc.

John Wiley & Sons,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource

Text of Note

Includes bibliographical references and index.

Text of Note

Intro; Title Page; Copyright Page; Contents; Preface; Acknowledgments; About the Author; About the Companion Website; Chapter 1 Introduction; 1.1 Observables and Observations; 1.2 Significant Digits of Observations; 1.3 Concepts of Observation Model; 1.4 Concepts of Stochastic Model; 1.4.1 Random Error Properties of Observations; 1.4.2 Standard Deviation of Observations; 1.4.3 Mean of Weighted Observations; 1.4.4 Precision of Observations; 1.4.5 Accuracy of Observations; 1.5 Needs for Adjustment; 1.6 Introductory Matrices; 1.6.1 Sums and Products of Matrices; 1.6.2 Vector Representation.

Text of Note

1.6.3 Basic Matrix Operations1.7 Covariance, Cofactor, and Weight Matrices; 1.7.1 Covariance and Cofactor Matrices; 1.7.2 Weight Matrices; Problems; Chapter 2 Analysis and Error Propagation of Survey Observations; 2.1 Introduction; 2.2 Model Equations Formulations; 2.3 Taylor Series Expansion of Model Equations; 2.3.1 Using MATLAB to Determine Jacobian Matrix; 2.4 Propagation of Systematic and Gross Errors; 2.5 Variance-Covariance Propagation; 2.6 Error Propagation Based on Equipment Specifications; 2.6.1 Propagation for Distance Based on Accuracy Specification.

Text of Note

2.6.2 Propagation for Direction (Angle) Based on Accuracy Specification2.6.3 Propagation for Height Difference Based on Accuracy Specification; 2.7 Heuristic Rule for Covariance Propagation; Problems; Chapter 3 Statistical Distributions and Hypothesis Tests; 3.1 Introduction; 3.2 Probability Functions; 3.2.1 Normal Probability Distributions and Density Functions; 3.3 Sampling Distribution; 3.3.1 Studentś t-Distribution; 3.3.2 Chi-square and Fisherś F-distributions; 3.4 Joint Probability Function; 3.5 Concepts of Statistical Hypothesis Tests; 3.6 Tests of Statistical Hypotheses.

Text of Note

3.6.1 Test of Hypothesis on a Single Population Mean3.6.2 Test of Hypothesis on Difference of Two Population Means; 3.6.3 Test of Measurements Against the Means; 3.6.4 Test of Hypothesis on a Population Variance; 3.6.5 Test of Hypothesis on Two Population Variances; Problems; Chapter 4 Adjustment Methods and Concepts; 4.1 Introduction; 4.2 Traditional Adjustment Methods; 4.2.1 Transit Rule Method of Adjustment; 4.2.2 Compass (Bowditch) Rule Method; 4.2.3 Crandallś Rule Method; 4.3 The Method of Least Squares; 4.3.1 Least Squares Criterion; 4.4 Least Squares Adjustment Model Types.

Text of Note

4.5 Least Squares Adjustment Steps4.6 Network Datum Definition and Adjustments; 4.6.1 Datum Defect and Configuration Defect; 4.7 Constraints in Adjustment; 4.7.1 Minimal Constraint Adjustments; 4.7.2 Overconstrained and Weight-Constrained Adjustments; 4.7.3 Adjustment Constraints Examples; 4.8 Comparison of Different Adjustment Methods; 4.8.1 General Discussions; Problems; Chapter 5 Parametric Least Squares Adjustment: Model Formulation; 5.1 Parametric Model Equation Formulation; 5.1.1 Distance Observable; 5.1.2 Azimuth and Horizontal (Total Station) Direction Observables.

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Text of Note

Provides a modern approach to least squares estimation and data analysis for undergraduate land surveying and geomatics programs Rich in theory and concepts, this comprehensive book on least square estimation and data analysis provides examples that are designed to help students extend their knowledge to solving more practical problems. The sample problems are accompanied by suggested solutions, and are challenging, yet easy enough to manually work through using simple computing devices, and chapter objectives provide an overview of the material contained in each section. Understanding Least Squares Estimation and Geomatics Data Analysis begins with an explanation of survey observables, observations, and their stochastic properties. It reviews matrix structure and construction and explains the needs for adjustment. Next, it discusses analysis and error propagation of survey observations, including the application of heuristic rule for covariance propagation. Then, the important elements of statistical distributions commonly used in geomatics are discussed. Main topics of the book include: concepts of datum definitions; the formulation and linearization of parametric, conditional and general model equations involving typical geomatics observables; geomatics problems; least squares adjustments of parametric, conditional and general models; confidence region estimation; problems of network design and pre-analysis; three-dimensional geodetic network adjustment; nuisance parameter elimination and the sequential least squares adjustment; post-adjustment data analysis and reliability; the problems of datum; mathematical filtering and prediction; an introduction to least squares collocation and the kriging methods; and more. ' -Contains ample concepts/theory and content, as well as practical and workable examples -Based on the author's manual, which he developed as a complete and comprehensive book for his Adjustment of Surveying Measurements and Special Topics in Adjustments courses -Provides geomatics undergraduates and geomatics professionals with required foundational knowledge -An excellent companion to Precision Surveying: The Principles and Geomatics Practice Understanding Least Squares Estimation and Geomatics Data Analysis is recommended for undergraduates studying geomatics, and will benefit many readers from a variety of geomatics backgrounds, including practicing surveyors/engineers who are interested in least squares estimation and data analysis, geomatics researchers, and software developers for geomatics.

Source for Acquisition/Subscription Address

Wiley

Stock Number

9781119501442

Title

Understanding least squares estimation and geomatics data analysis.

International Standard Book Number

9781119501398

Estimation theory.

Least squares.

Estimation theory.

Least squares.

MATHEMATICS-- Probability & Statistics-- General.

Number

Edition

Class number

Ogundare, John Olusegun

Date of Transaction

20200822154322.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y