Figure 1. 1. Map of Great Britain at two different scale levels. (a) Counties, (b)Regions. '-. " Figure 1. 2. Two alternative aggregations of the Italian provincie in 32 larger areas 4 CHAPTER 1 d . , b) Figure 1. 3 Percentage of votes of the Communist Party in the 1987 Italian political elections (a) and percentage of population over 75 years (b) in 1981 Italian Census in 32 polling districts. The polling districts with values above the average are shaded. Figure 1. 4: First order neighbours (a) and second order neighbours (b) of a reference area. INTRODUCTION 5 While there are several other problems relating to the analysis of areal data, the problem of estimating a spatial correlO!J'am merits special attention. The concept of the correlogram has been borrowed in the spatial literature from the time series analysis. Figure l. 4. a shows the first-order neighbours of a reference area, while Figure 1. 4. b displays the second-order neighbours of the same area. Higher-order neighbours can be defined in a similar fashion. While it is clear that the dependence is strongest between immediate neighbouring areas a certain degree of dependence may be present among higher-order neighbours. This has been shown to be an alternative way of look ing at the sca le problem (Cliff and Ord, 1981, p. l 23). However, unlike the case of a time series where each observation depends only on past observations, here dependence extends in all directions.

A non-technical introduction to the question of modeling with time-varying parameters, using the beta coefficient from Financial Economics as the main example. After a brief introduction to this coefficient for those not versed in finance, the book presents a number of rather well known tests for constant coefficients and then performs these tests on data from the Stockholm Exchange. The Kalman filter is then introduced and a simple example is used to demonstrate the power of the filter. The filter is then used to estimate the market model with time-varying betas. The book concludes with further examples of how the Kalman filter may be used in estimation models used in analyzing other aspects of finance. Since both the programs and the data used in the book are available for downloading, the book is especially valuable for students and other researchers interested in learning the art of modeling with time varying coefficients.

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.

The effects and challenges of European integration are analyzed in this book, using a wide variety of research methods. Topics covered include macroeconometric and applied general equilibrium modelling, international trade and applied econometric analysis. Various contributions focus on Europe itself and are concerned with macroeconomic management, price convergence, industrial restructuring and the environment. Extra developments in the European Community are also discussed, in relation with European integration, including world trade, regional integration and the East-European transition to a West-European style market economy. The book is dedicated to the long and prolific career of Jean Waelbroeck. It will be of great interest to both academic researchers and policymakers.

One cannot exaggerate the importance of estimating how international trade responds to changes in income and prices. But there is a tension between whether one should use models that fit the data but that contradict certain aspects of the underlying theory or models that fit the theory but contradict certain aspects of the data. The essays in Estimating Trade Elasticities book offer one practical approach to deal with this tension. The analysis starts with the practical implications of optimising behaviour for estimation and it follows with a re-examination of the puzzling income elasticity for US imports that three decades of studies have not resolved. The analysis then turns to the study of the role of income and prices in determining the expansion in Asian trade, a study largely neglected in fifty years of research. With the new estimates of trade elasticities, the book examines how they assist in restoring the consistency between elasticity estimates and the world trade identity.
The material in Estimating Trade Elasticities will be of interest to economists working in predicting the evolution of international trade and its domestic repercussions. Practitioners in the International Monetary Fund, the World Bank, the OECD, and Central Banks with a keen interest in international developments will benefit from the analysis in this book.

This text focuses on two key components of microeconomics - optimization subject to constraints and the development of comparative statics. It assumes familiarity with calculus of one variable and basic linear algebra, allowing more extensive coverage of additional topics like constrained optimization, the chain rule, Taylor's theorem, line integrals and dynamic programming. The book contains numerous examples that illustrate economics and mathematical situations, many with complete solutions.;"Mathematics for Economists" provides a collection of topics to complement first semester PhD microeconomics course. It contains the mathematical material necessary as background for topics covered in graduate level microeconomics courses.

This thoroughly revised second edition of an upper-level undergraduate/graduate text describes many major techniques of forecasting used in economics and business. This is the only time series book to concentrate on the forecasting of economic data and to cover such a broad range of topics. The key features are: explains how to specify and evaluate simple models from the time series and econometric approaches; places special emphasis on the information that is derived from the evaluation and combinations of forecasts; discusses the topics of technological and population forecasting; includes an expanded chapter on regression techniques; presents a practical forecasting project which runs throughout the text; includes an appendix on basic statistical concepts.

Dedicated to the measurement and definition of market power across a broad array of industries, this text should provide economists and lawyers with an insight into how anti-trust economists actually go about measuring market power in a given industry. The "Contributions to Economic Analysis" series consists of a number of previously unpublished studies. The term economic analysis is used because it covers the activities of the theoretical economist and the research worker.

The aim of the proposed volume will be to present new developments in the methodology and practice of CGE techniques as they apply to recent issues in international trade policy. The volume will be of interest to academic researchers working in trade policy analysis and applied general equilibrium, advanced graduate students in international economics, applied researchers in multilateral organizations, and policymakers who need to work with and interpret the results of CGE analysis.

The three volumes of the "Collected Scientific Works of David Cass" are ordered chronologically, which happens to coincide with the development of the three major advances in Cass' research agenda, the development of the neoclassical growth model, the discovery of sunspot equilibria, and the analysis of models of market incompleteness. This volume consists of Cass' early work from his time in graduate school at Stanford University, studying under Hirofumi Uzawa, and as an assistant professor at Yale's Cowles Commission, and his tenure at Carnegie Mellon University's Graduate School of Industrial Administration. The work in this volume focuses primarily on Cass' contributions to what is now known as the Ramsey-Cass-Kooopmans neoclassical growth model, and the development of what is now known as the Cass criterion for determining whether intertemporal allocations are efficient. This period also includes Cass' early work on overlapping generation's models, asset pricing models, and methodological contributions in dynamic systems applications in economics.

'An authoritative survey with exciting new insights of special interest to economists and econometricians who analyse intertemporal and interspatial price relationships.' - Professor Angus Maddison, Groningen University This book presents a comprehensive review of recent developments in the theory and construction of index numbers using the stochastic approach, demonstrating the versatility of this approach in handling various index number problems within a single conceptual framework. It also contains a brief, but complete, review of the existing approaches to index numbers with illustrative numerical examples. The stochastic approach considers the index number problem as a signal extraction problem. The strength and reliability of the signal extracted from price and quantity changes for different commodities depends upon the messages received and the information content of the messages. The most important applications of the new approach are to be found in the context of measuring rate of inflation; fixed and chain base index numbers for temporal comparisons and for spatial intercountry comparisons; the latter generally require special index number formulae that result in transitive and base invariant comparisons.

For sometime now, I felt that the evolution of the literature of econo metrics had mandated a higher level of mathematical proficiency. This is particularly evident beyond the level of the general linear model (GLM) and the general linear structural econometric model (GLSEM). The problems one encounters in nonlinear econometrics are not easily amenable to treatment by the analytical methods one typically acquires, when one learns about probability and inference through the use of den sity functions. Even in standard traditional topics, one is often compelled to resort to heuristics; for example, it is difficult to prove central limit theorems for nonidentically distributed or martingale sequences, solely by the use of characteristic functions. Yet such proofs are essential, even in only moderately sophisticated classroom exposition. Unfortunately, relatively few students enter a graduate economics de partment ready to tackle probability theory in measure theoretic terms. The present volume has grown out of the need to lay the foundation for such discussions. The motivating forces were, chiefly, (a) the frustration one encounters in attempting to communicate certain concepts to stu dents wholly in analytic terms; and (b) the unwillingness of the typical student to sit through several courses in mathematics departments, in order to acquire the requisite background."

The complexity and volatility of energy markets creates strong demand for quantitative analysis and econometric techniques. This book offers an introduction to the state of the art in econometric modelling applied to the most pertinent issues in today's energy markets for a better understanding of the working of energy systems and energy economics.

This textbook gives a comprehensive introduction to stochastic processes and calculus in the fields of finance and economics, more specifically mathematical finance and time series econometrics. Over the past decades stochastic calculus and processes have gained great importance, because they play a decisive role in the modeling of financial markets and as a basis for modern time series econometrics. Mathematical theory is applied to solve stochastic differential equations and to derive limiting results for statistical inference on nonstationary processes. This introduction is elementary and rigorous at the same time. On the one hand it gives a basic and illustrative presentation of the relevant topics without using many technical derivations. On the other hand many of the procedures are presented at a technically advanced level: for a thorough understanding, they are to be proven. In order to meet both requirements jointly, the present book is equipped with a lot of challenging problems at the end of each chapter as well as with the corresponding detailed solutions. Thus the virtual text - augmented with more than 60 basic examples and 40 illustrative figures - is rather easy to read while a part of the technical arguments is transferred to the exercise problems and their solutions.

In the 16th Edition of "Advances in Econometrics", we present twelve papers discussing the current interface between Marketing and Econometrics. The authors are leading scholars in the fields and introduce the latest models for analysing marketing data. The papers are representative of the types of problems and methods that are used within the field of marketing. Marketing focuses on the interaction between the firm and the consumer. Economics encompasses this interaction as well as many others. Economics, along with psychology and sociology, provides a theoretical foundation for marketing. Given the applied nature of marketing research, measurement and quantitative issues arise frequently. Quantitative marketing tends to rely heavily upon statistics and econometrics. However, quantitative marketing can place a different emphasis upon the problem than econometrics, even when using the same techniques. A basic difference between quantitative marketing research and econometrics tends to be the pragmatism that is found in many marketing studies. Another important motivating factor in marketing research is the type of data that is available. Applied econometrics tends to rely heavily on data collected by governmental organizations. In contrast, marketing often uses data collected by private firms or marketing research firms. Observational and survey data are quite similar to those used in econometrics. However, the remaining types of data, panel and transactional, can look quite different from what may be familiar to econometricians. The automation and computerization of much of the sales transaction process leaves an audit trail that results in huge quantities of data. A popular area of study is the use of scanner data collected at the checkout stand using bar code readers. Methods that work for small data sets may not work well in these larger data sets. In addition, new sources of data, such as clickstream data from a web site, will offer new challenges. This volume addresses these and related issues.

This proceedings volume examines the state-of-the art of productivity and efficiency analysis and adds to the existing research by bringing together a selection of the best papers from the 8th North American Productivity Workshop (NAPW). It also aims to analyze world-wide perspectives on challenges that local economies and institutions may face when changes in productivity are observed. The volume comprises of seventeen papers that deal with productivity measurement, productivity growth, dynamics of productivity change, measures of labor productivity, measures of technical efficiency in different sectors, frontier analysis, measures of performance, industry instability and spillover effects. These papers are relevant to academia, but also to public and private sectors in terms of the challenges firms, financial institutions, governments and individuals may face when dealing with economic and education related activities that lead to increase or decrease of productivity. The North American Productivity Workshop brings together academic scholars and practitioners in the field of productivity and efficiency analysis from all over the world. It is a four day conference exploring topics related to productivity, production theory and efficiency measurement in economics, management science, operations research, public administration, and related fields. The papers in this volume also address general topics as health, energy, finance, agriculture, utilities, and economic dev elopment, among others. The editors are comprised of the 2014 local organizers, program committee members, and celebrated guest conference speakers.

THE GUIDE FOR ANYONE AFRAID TO LEARN STATISTICS & ANALYTICS UPDATED WITH NEW EXAMPLES & EXERCISES This book discusses statistics and analytics using plain language and avoiding mathematical jargon. If you thought you couldn't learn these data analysis subjects because they were too technical or too mathematical, this book is for you! This edition delivers more everyday examples and end-of-chapter exercises and contains updated instructions for using Microsoft Excel. You'll use downloadable data sets and spreadsheet solutions, template-based solutions you can put right to work. Using this book, you will understand the important concepts of statistics and analytics, including learning the basic vocabulary of these subjects. Create tabular and visual summaries and learn to avoid common charting errors Gain experience working with common descriptive statistics measures including the mean, median, and mode; and standard deviation and variance, among others Understand the probability concepts that underlie inferential statistics Learn how to apply hypothesis tests, using Z, t, chi-square, ANOVA, and other techniques Develop skills using regression analysis, the most commonly-used Inferential statistical method Explore results produced by predictive analytics software Choose the right statistical or analytic techniques for any data analysis task Optionally, read the "Equation Blackboards," designed for readers who want to learn about the mathematical foundations of selected methods

This is the first book in the Selecta, the collected works of Benoit Mandelbrot. This volume incorporates his original contributions to finance. The chapters consist of much new material prepared for this volume, as well as reprints of his classic papers which are devoted to the roles that discontinuity and related forms of concentration play in finance and economics. Much of this work helps to lay a foundation for evaluating risks in trading strategies.

This book is a quarterly forecast and analysis report on the Chinese economy. It is published twice a year and presents ongoing results from the "China Quarterly Macroeconomic Model (CQMM)," a research project at the Center for Macroeconomic Research (CMR) at Xiamen University. Based on the CQMM, the research team forecasts China's major macroeconomic indicators for the next 8 quarters, including GDP growth rate, CPI, PPI, investment in fixed assets, household consumption, imports, exports, and foreign reserves. Moreover, it simulates different scenarios to study the effects of macroeconomic policy on the Chinese economy. In addition to helping readers to understand China's economic trends and policies, this book has three main goals: to help readers understand China's economic performance; to forecast the major macroeconomic indicators for the next 8 quarters; and to simulate the effectiveness of macroeconomic policy.

Any discussion of the various facets of petroleum policy in the United States rests to a greater or less extent on the issue of sensitivity of petroleum exploration, and hence of new petroleum discoveries to economic incentives. Indeed, a principle argument in favour of having a special petroleum policy at all is that domestic petroleum exploration is so sensitive to economic considerations that in the absence of special incentives exploration expenditures would sharply decrease, as would the amount of petroleum discovered; consequently, the nation's known oil resources would be reduced to an extent dangerous in the event of an international crisis. This study attempts to answer the question: how sensitive are new petroleum discoveries to economic incentives? This book will be of interest to students of environmental studies.

Essays in Economic Theory, first published in 1983, combines two essays on game theory and its applications in economics. The first, "Learning Behavior and the Noncooperative Equilibrium", considers whether an adaptive justification, like those commonly available for the optimization models frequently employed elsewhere in economics, can be found for the Nash noncooperative equilibrium. The second essay, "A Game of Fair Division", was motivated by the desire to find attractive methods for solving allocation problems and bargaining disputes that are simple enough to provide useful alternatives to existing methods. It studies in detail one such simple method: the classical "divide-and-choose" procedure. This book will be of interest to students of economics.

? In his "Prime ricerche sulla rivoluzione dei prezzi in Firenze" (1939), Giuseppe Parenti, by Fernand Braudel regarded as an author who "se classait, d'entree de jeu et sans discussion possible, a la hauteur meme d'Earl Jefferson Hamilton. . . . " begins his opening lines with a description/de?nition of the price revolution which took place in the XVI in Europe as "that extraordinary enhancement of all things that occurred in European countries around the second half of the XVI; revolution in the true meaning of the word, as not only, like any strong price increase, it modi?ed the wealth distribution process and changed the relative position of the various social categories and of the different functions of the economic activity, but affected too, in a way that was not enough studied yet, the relative evolution of the various national economies, and ?nally, . . . . . . . . . ., certainly contributed to the birth, or at least to the dissemination, of the new naturalistic economic ideas, from which the economic science would have sprung." De?nition that can be taken as the founding metaphor of this volume."

This book consists of a selected subset of papers presented at the International Symposium of Linked Employer-Employee Data, held in Washington DC, in May 1998 - to address the creation and analysis of such matched data in an environment that safeguards respondent confidentiality. The conference brought together a wide range of social scientists and statisticians from more than 20 countries.

Three broad themes are highlighted:
(1) The analysis of linked employer-employee data.
The basic finding of this and the next section is that the firm matters a good deal in explaining the differences in earnings, productivity, and work experiences of individual workers. Linked data allow the researcher to disentangle the firm effects from the worker effects.
(2) Econometric issues involved with the analysis of such data.
Creating and analyzing employer-employee matched data sets presents a number of new econometric problems that are not present in standard micro-data sets containing just workers or just employers. However, these data also offer us a unique opportunity to examine the effects of some of the econometric problems involved in using the other data sources. The chapters in this section address both of these issues. The first two chapters examine new econometric issues involved in the creation and use of matched data sets, while the second two chapters use matched data to examine possible problems with cross-sectional or panel data on workers. The results from each of these chapters will be valuable to all empirical researchers, regardless of whether they are using employer-employee matched data or more standard cross-sectional or panel data sets.
(3) Ongoing effortsaimed at creating large-scale linked employer-employee data.
The last section of this book describes four recent efforts at creating linked employer-employee data through surveys of firms and individuals. The first two chapters describe an "employers first" methodology of creating linked employer-employee data, and the last two chapters describe an "employees first" methodology. The two "employees first" surveys described here are, as far as known, the only two large-scale surveys in production that follow this design. Each of the four chapters in this section describes details about the design and field operation of the survey that will be indispensable to others who might want to create or analyze linked employer-employee survey data.

The 23 chapters in this book provide a glimpse into the future of labor economics and industrial organization. It can be said that labor economics and public policy around the world has been dominated over the past several decades by quantitative analyses based upon public-use US micro-data. In the future, it is very likely that economics and social policy in the United States and elsewhere will depend on quantitative analysis based on linked employer-employee micro-data currently residing in all continents of the world.