An Introduction to Estimating Functions

An Introduction to Estimating Functions PDF Author: Parimal Mukhopadhyay
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842651636
Category : Business & Economics
Languages : en
Pages : 252

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Book Description
The theory of estimating functions plays a major role in analysis of data pertaining to Biostatistics, Econometrics, Time Series Analysis, Reliability studies and other varied fields. This book discusses at length the application of the theory in interpretation of results in Survey Sampling.

An Introduction to Estimating Functions

An Introduction to Estimating Functions PDF Author: Parimal Mukhopadhyay
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842651636
Category : Business & Economics
Languages : en
Pages : 252

Get Book Here

Book Description
The theory of estimating functions plays a major role in analysis of data pertaining to Biostatistics, Econometrics, Time Series Analysis, Reliability studies and other varied fields. This book discusses at length the application of the theory in interpretation of results in Survey Sampling.

Estimating Functions

Estimating Functions PDF Author: V. P. Godambe
Publisher: Oxford University Press on Demand
ISBN: 9780198522287
Category : History
Languages : en
Pages : 344

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Book Description
This volume comprises a comprehensive collection of original papers on the subject of estimating functions. It is intended to provide statisticians with an overview of both the theory and the applications of estimating functions in biostatistics, stochastic processes, and survey sampling. From the early 1960s when the concept of optimality criterion was first formulated, together with the later work on optimal estimating functions, this subject has become both an active research area in its own right and also a cornerstone of the modern theory of statistics. Individual chapters have been written by experts in their respective fields and as a result this volume will be an invaluable reference guide to this topic as well as providing an introduction to the area for non-experts.

General Estimating Function Theory

General Estimating Function Theory PDF Author: John Hanfelt
Publisher: Chapman & Hall/CRC
ISBN: 9781420067606
Category : Mathematics
Languages : en
Pages : 250

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Book Description
From the fully parametric setting to the semiparametric setting, General Estimating Function Theoryprovides a comprehensive introduction to the increasingly popular theory of estimating functions, which offers a unified framework for the study of many seemingly diverse methods of estimation. The book focuses on the significance of the modern theory rather than on mathematical rigor. It explores biostatistics topics, including artificial likelihoods, nuisance parameters, and model selection methods. The text also provides appendices on regularity conditions as well as Hilbert space and orthogonal projections.

Introduction to Estimating Economic Models

Introduction to Estimating Economic Models PDF Author: Atsushi Maki
Publisher: Routledge
ISBN: 1136885013
Category : Business & Economics
Languages : en
Pages : 190

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Book Description
The book's comprehensive coverage on the application of econometric methods to empirical analysis of economic issues is impressive. It uncovers the missing link between textbooks on economic theory and econometrics and highlights the powerful connection between economic theory and empirical analysis perfectly through examples on rigorous experimental design. The use of data sets for estimation derived with the Monte Carlo method helps facilitate the understanding of the role of hypothesis testing applied to economic models. Topics covered in the book are: consumer behavior, producer behavior, market equilibrium, macroeconomic models, qualitative-response models, panel data analysis and time-series analysis. Key econometric models are introduced, specified, estimated and evaluated. The treatment on methods of estimation in econometrics and the discipline of hypothesis testing makes it a must-have for graduate students of economics and econometrics and aids their understanding on how to estimate economic models and evaluate the results in terms of policy implications.

Estimating Functions and Equations

Estimating Functions and Equations PDF Author: Anil K. Bera
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
The idea of using estimating functions goes a long way back, at least to Karl Pearson's introduction to the method of moment in 1894. It is now a very active area of research in the statistics literature. One aim of this chapter is to provide an account of the developments relating to the theory of estimating functions. Starting from the simple case of single parameter under independent set up, we cover the multi-parameter, presence of nuisance parameters and dependent data cases. Applications of the estimating function technique to econometrics is still at its infancy. However, we illustrate how this estimation approach could be used in various time series models, such as random coefficient, threshold, bilinear, autoregressive conditional heteroscedasticity models, also in spatial, longitudinal data and median regression analyses. The chapter is concluded with some remarks on the place of estimating function in the history of the statistical estimation techniques.

Generalized Estimating Equations, Second Edition

Generalized Estimating Equations, Second Edition PDF Author: James W. Hardin
Publisher: CRC Press
ISBN: 1439881138
Category : Mathematics
Languages : en
Pages : 280

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Book Description
Generalized Estimating Equations, Second Edition updates the best-selling previous edition, which has been the standard text on the subject since it was published a decade ago. Combining theory and application, the text provides readers with a comprehensive discussion of GEE and related models. Numerous examples are employed throughout the text, along with the software code used to create, run, and evaluate the models being examined. Stata is used as the primary software for running and displaying modeling output; associated R code is also given to allow R users to replicate Stata examples. Specific examples of SAS usage are provided in the final chapter as well as on the book’s website. This second edition incorporates comments and suggestions from a variety of sources, including the Statistics.com course on longitudinal and panel models taught by the authors. Other enhancements include an examination of GEE marginal effects; a more thorough presentation of hypothesis testing and diagnostics, covering competing hierarchical models; and a more detailed examination of previously discussed subjects. Along with doubling the number of end-of-chapter exercises, this edition expands discussion of various models associated with GEE, such as penalized GEE, cumulative and multinomial GEE, survey GEE, and quasi-least squares regression. It also offers a thoroughly new presentation of model selection procedures, including the introduction of an extension to the QIC measure that is applicable for choosing among working correlation structures. See Professor Hilbe discuss the book.

Numerical Methods for Nonlinear Estimating Equations

Numerical Methods for Nonlinear Estimating Equations PDF Author: Christopher G. Small
Publisher: Oxford University Press
ISBN: 9780198506881
Category : Mathematics
Languages : en
Pages : 330

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Book Description
Non linearity arises in statistical inference in various ways, with varying degrees of severity, as an obstacle to statistical analysis. More entrenched forms of nonlinearity often require intensive numerical methods to construct estimators, and the use of root search algorithms, or one-step estimators, is a standard method of solution. This book provides a comprehensive study of nonlinear estimating equations and artificial likelihood's for statistical inference. It provides extensive coverage and comparison of hill climbing algorithms, which when started at points of nonconcavity often have very poor convergence properties, and for additional flexibility proposes a number of modification to the standard methods for solving these algorithms. The book also extends beyond simple root search algorithms to include a discussion of the testing of roots for consistency, and the modification of available estimating functions to provide greater stability in inference. A variety of examples from practical applications are included to illustrate the problems and possibilities thus making this text ideal for the research statistician and graduate student.

An Introduction to Signal Detection and Estimation

An Introduction to Signal Detection and Estimation PDF Author: H. Vincent Poor
Publisher: Springer Science & Business Media
ISBN: 1475723415
Category : Technology & Engineering
Languages : en
Pages : 405

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Book Description
Essential background reading for engineers and scientists working in such fields as communications, control, signal, and image processing, radar and sonar, radio astronomy, seismology, remote sensing, and instrumentation. The book can be used as a textbook for a single course, as well as a combination of an introductory and an advanced course, or even for two separate courses, one in signal detection, the other in estimation.

Introduction to Robust Estimation and Hypothesis Testing

Introduction to Robust Estimation and Hypothesis Testing PDF Author: Rand R. Wilcox
Publisher: Academic Press
ISBN: 0123869838
Category : Mathematics
Languages : en
Pages : 713

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Book Description
"This book focuses on the practical aspects of modern and robust statistical methods. The increased accuracy and power of modern methods, versus conventional approaches to the analysis of variance (ANOVA) and regression, is remarkable. Through a combination of theoretical developments, improved and more flexible statistical methods, and the power of the computer, it is now possible to address problems with standard methods that seemed insurmountable only a few years ago"--

Practical Software Estimation

Practical Software Estimation PDF Author: M. A. Parthasarathy
Publisher: Pearson Education
ISBN: 0132702444
Category : Computers
Languages : en
Pages : 431

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Book Description
"A clearly written book that is a useful primer for a very complicated set of topics." --Capers Jones, Chief Scientist Emeritus, Software Productivity Research LLC Practical Software Estimation brings together today's most valuable tips, techniques, and best practices for accurately estimating software project efforts, costs, and schedules. Written by a leading expert in the field, it addresses the full spectrum of real-world challenges faced by those who must develop reliable estimates. M. A. Parthasarathy draws on the immense experience of Infosys, one of the world's largest and most respected providers of IT-enabled business solutions, to bring you the only book with detailed guidance on estimating insourced and outsourced software projects, as well as projects that blend both approaches. He demonstrates how to successfully utilize Function Point (FP) methods, the industry's leading estimation model. Then, using real case studies, he systematically identifies pitfalls that can lead to inaccurate estimates--and offers proven solutions. Coverage includes How to estimate all types of software projects, including "fresh" development, reengineering, and maintenance How to incorporate the impact of core project elements on estimates: scope, environment, experience, and tools FP analysis from start to finish: data and transaction functions, general system characteristics, and more FP methods for any platform or business function Innovative re-estimation methods to track progress How to quote RFPs and prepare contracts: fixed price, time/material, and project execution lifecycle models Alternatives to FP: Delphi, COCOMO II, and COSMIC-FFP How to choose the right estimation tools Practical Software Estimation is the definitive reference for anyone who must estimate software projects accurately: project and IT managers, individual developers, system designers, architects, executives, consultants, and outsourcers alike. List of Figures List of Tables Foreword Preface Acknowledgments Chapter 1: Introduction Chapter 2: Role of Estimation in Software Projects Chapter 3: A Study of Function Point Analysis Chapter 4: Data Functions Chapter 5: Transactional Functions Chapter 6: General System Characteristics Chapter 7: Size, Effort, and Scheduling of Projects Chapter 8: Estimation Flavors Chapter 9: A Sense of Where You Are Chapter 10: Tips, Tricks, and Traps Chapter 11: Insourcing versus Outsourcing Chapter 12: Key Factors in Software Contracts Chapter 13: Project Estimation and Costing Chapter 14: Other Estimation Methods Chapter 15: Estimation Tools Chapter 16: Estimation Case Study Appendix A: Reference Tables: Transaction Function Counts Appendix B: Reference Tables: Data Function Points Bibliography Index