Series: Advanced Studies in Theoretical and Applied
Econometrics, Vol. 41
2004, XIII, 148 p., Hardcover
ISBN: 1-4020-2838-5
About this book
The Measurement of Economic Relationships presents a critical
review of the established approach to measuring relationships in
business and economics and of the one that preceded it. The first
approach is based on the notion of a process "generating"
the observations in a certain "random" manner, the
second on the concept of approximating the observations of the
variable of interest as closely as possible. It is shown that
both approaches offer measures of the contribution of the
determining variables, interval estimates and tests concerning
the effects of the variables, and interval forecasts; in general,
however, their solutions are different. In reviewing the two
approaches since their first appearance at the end of the 18th
century, little justification is found for the manner in which
the established approach perceives the economic world. Doubts are
raised that substantial real progress has been made since the
advent of the so-called "probabilistic revolution." It
is suggested that the simplicity and transparency of the
approximating approach should be preferred
Table of contents
Preface Chapter 1 Introduction 1.1 The Status Quo 1.2 The CLM in
Academic Studies 1.3 The CLM in Practice 1.4 Extensions of the
CLM 1.5 The Road Ahead Chapter 2 The Fitting Method: An
Introduction 2.1 Introduction 2.2 The Problem 2.3 The Available
Information 2.4 One Solution 2.5 Least Squares and Spreadsheets 2.6
Constrained Least Squares 2.7 Tolerance Intervals 2.8 Joint Tests
and Tolerance Regions 2.9 Interval Forecasts 2.10 Computer Output
2.11 In Summary Chapter 3 The Fitting Method: A formal Treatment
3.1 Introduction 3.2 Relationships 3.3 Unrestricted Least Squares
3.4 Restricted Least Squares 3.5 Ordinary Tolerance Intervals and
Regions 3.6 A Tolerance Region for All Parameters 3.7 Tolerance
Interval Forecasts 3.8 Possible Extensions Chapter 4 The
Classical Linear Model 4.1 Introduction 4.2 The Assumptions of
the CLM 4.3 Estimates and Their Properties 4.4 Statistical
Inference 4.5 Specification Error 4.6 On Confidence Interval
Estimates 4.7 The Many Problems of Significance 4.8 On Confidence
Interval Forecasts 4.9 The Art and Practice of Statistical
Inference 4.10 Bad Practice or Bad Theory? Chapter 5 The Central
Assumptions 5.1 Introduction 5.2 True Parameters? 5.3 The
Randomness of Error 5.4 Probability 5.5 The Central Limit Theorem
and Normality 5.6 Are the Unknown Factors Random Variables? 5.7
Serial Correlation 5.8 The eAs Iff Argument 5.9 A Probably
Deviation 5.10 On the Distribution of Residuals 5.11 In Summary
Chapter 6 Random Processes 6.1 Introduction 6.2 The Coin Toss 6.3
Of Birth and Deaths 6.4 Stock market Prices 6.5 Some Perils of
Time Series Analysis 6.6 In Conclusion Chapter 7 The eProbabilistic
Revolutionf 7.1 Introduction 7.2 Before Haavelmo 7.3 Haavelmo
on Relationships 7.4 Haavelmo in Contemporary Reviews 7.5 The
Probability Approach Reconsidered 7.6 Random Sampling 7.7 The
Assumptions Reconsidered, Continuation 7.8 In Summary Chapter 8
Assessment 8.1 The Fitting Method in Perspective 8.2 The
Tolerance Level 8.3 The Technical Pursuit of Fit 8.4 The Success
Rate of Tolerance Interval Forecasts 8.5 The Poverty of
Properties 8.6 Does it Matter 8.7 Subjective Probability 8.8
Determinism and Probabilism 8.9 The eAs Iff Assumption
Revisited 8.10 Why the Status Quo 8.11 A Pragmatic Approach
References Index
North-Holland Mathematics Studies, vol.198.
Description
The book is devoted to universality problems. A new approach to
these problems is given using some specific spaces. Since the
construction of these specific spaces is set-theoretical, the
given theory can be applied to different topics of Topology such
as: universal mappings, dimension theory, action of groups,
inverse spectra, isometrical embeddings, and so on.
Audience
Researchers in Topology, postgraduate students.
Contents
Preface. Introductory remarks. Chapter 1. The construction of
Containing Spaces. Chapter 2. Saturated classes. Chapter 3.
Dimension-like functions. Chapter 4. Saturated classes of spaces
with structure. Chapter 5. Completely regular and compact spaces.
Chapter 6. Saturated classes of mappings. Chapter 7. Actions of
groups. Chapter 8. Containing Spaces and factorizing T-spectra.
Chapter 9. Isometries and universality. Chapter 10. Concluding
remarks and open problems. Bibliography. Index of symbols.
Subject index.
Bibliographic & ordering Information
Hardbound, ISBN: 0-444-51586-0, 575 pages, publication date: 2005
0-19-517735-5, hardback, 240 pages Also In Stock paper Dec
2004,
Description
Isaac Newton is a legendary figure whose mythical dimension
threatens to overshadow the actual man. The story of the apple
falling from the tree may or may not be true, but Isaac Newton's
revolutionary discoveries and their importance to the
Enlightenment era and beyond are undeniable. The Newtonian
Moment, a companion volume to a forthcoming exhibition by the New
York Public Library, investigates the effect that Newton's
theories and discoveries had, not only on the growth of science,
but also on the very shape of modern culture and thought.
Newton's scientific work at Cambridge was groundbreaking. From
his optical experiments with prisms during the 1660s to the
publication of both Principia (1687) and Opticks (1704), Newton's
achievements were widely disseminated, inciting tremendous
interest and excitement. Newtonianism developed into a worldview
marked by many tensions: between modernity and the old guard,
between the humanities and science, and the public battles
between great minds. The Newtonian Moment illuminates the many
facets of his colossal accomplishments, as well as the debates
over the kind of knowledge that his accomplishments engendered.
The book contributes to a greater understanding of the world
today by offering a panoramic view of the profound impact of
Newtonianism on the science, literature, art, and religion of the
Enlightenment.
Copiously illustrated with items drawn from the collections of
the New York Public Library as well as numerous other libraries
and museums, The Newtonian Moment enlightens its audience with a
guided and in-depth look at the man, his world, and his enduring
legacy.
Reviews
"Lavish, lively...educates us in the manifold, particular,
and paradoxical ways of genius. In the presence of these
extraordinary documents, the work of Newton's skilled hands and
speeding, inspired intellect, it would be easy to do what so many
writers did in the eighteenth century: to treat Newton himself as
more than human, as someone who stood above the conflicts of his
own time, one who simply saw farther and worked on a higher level
than his contemporaries, and achieved what he did unaided by
ordinary mortals. One of the great virtues of The Newtonian
Moment is that it refuses to do this."--New York Review of
Books
Product Details
240 pages; 230 color halftones; 8 x 10; 0-19-517735-5
About the Author(s)
Mordechai Feingold, Professor of History, California Institute of
Technology
0-19-852768-3
Publication date: January 2005
352 pages, 234mm x 156mm
Series: Numerical Mathematics and Scientific Computation
First text to cover the interplay between applied probability and
numerical analysis--an emerging and important field for applied
mathematicians and engineers
Each important concept is presented and analyzed with from a
probabilistic and numerical analysis viewpoint
A source of efficient algorithms for solving queueing problems,
advanced algorithms are simply described allowing easy
translation into code in a high level language
Bibliographic notes at end of each chapter allow for further
development of each topic
Appendix section provides a useful reference list of the main
annotations and algorithms used in the book, and highlights the
general concepts and results
Description
Intersecting two large research areas - numerical analysis and
applied probability/queuing theory - this book is a self-contained
introduction to the numerical solution of structured Markov
chains, which have a wide applicability in queueing theory and
stochastic modeling. Aimed at graduates and researchers in
numerical analysis, applied mathematics, probability, engineering
and computer science it provides a thorough overview of the
current literature.
Readership: Graduates and researchers in numerical analysis,
applied mathematics, probability, engineering and computer
science
Contents
TOOLS
Introduction to Markov chains
Structured matrix analysis
Matrix equations and canonical factorization
STRUCTURED MARKOV CHAINS
M/G/1-type Markov chains
Phase-type queues
ALGORITHMS
Functional iterations
Logarithmic reduction and cyclic reduction
Alternative approaches
Specialized structures
Appendix
Notations
List of Algorithms
Bibliography
(Hardback (laminated boards)) 0-19-856790-1
(Paperback) 0-19-856791-X
Publication date: May 2005
320 pages, 64 line figures, 234mm x 156mm
Emerging and important field
A broad cross-disciplinary text aimed at economics, sociology,
physics/applied mathematics, engineering and philosophy students
Excellent clarity of reasoning takes non-specialists by the hand
through technical details
Readership: Undergraduates, graduates and researchers in the
social and natural sciences seeking a comprehensive survey of the
modelling of chaotic dynamics and complexity in their fields.
Contents
Preface
Part I: Linear and nonlinear processes
1.1 Introduction
1.2 Modelling
1.3 The Origins of System Dynamics: Mechanics
1.4 Linearity in Models
1.5 One of The Most Basic Natural Systems: The Pendulum
1.6 Linearity as a First, Often Insufficient Approximation
1.7 The Nonlinearity of Natural Processes: The Case of The
Pendulum
1.8 Dynamical Systems and The Phase Space
1.9 Extension of The Concepts and Models Used in Physics to
Economics
1.10 The Chaotic Pendulum
1.11 Linear Models in Social Processes: The Case of Two
Interacting Populations
1.12 Nonlinear Models in Social Processes: The Model of Volterra-Lotka
and Some of Its Variants in Ecology
1.13 Nonlinear Models in Social Processes: The Volterra-Lotka
Model Applied to Urban and Regional Science
Part II: From nonlinearity to chaos
2.1 Introduction
2.2 Dynamical Systems and Chaos
2.3 Strange and Chaotic Attractors
2.4 Chaos in Real Systems and in Mathematical Models
2.5 Stability in Dynamical Systems
2.6 The Problem of Measuring Chaos in Real Systems
2.7 Logistic Growth as A Population Development Model
2.8 A Nonlinear Discrete Model: The Logistic Map
2.9 The Logistic Map: Some Results of Numerical Simulations and
An Application
2.10 Chaos in Systems: The Main Concepts
Part III: Complexity
3.1 Introduction
3.2 Inadequacy of Reductionism
3.3 Some Aspects of The Classical Vision of Science
3.4 From Determinism to Complexity: Self-Organisation, A New
Understanding of System Dynamics
3.5 What is Complexity?
3.6 Complexity and Evolution
3.7 Complexity in Economic Processes
3.8 Some Thoughts on The Meaning of 'Doing Mathematics'
3.9 Digression into The Main Interpretations of The Foundations
of Mathematics
3.10 The Need for A Mathematics of (or for) Complexity
References
Name Index
Subject Index