Statistics for Spatial Data.

Offering a unifying theoretical perspective not readily available in any other text, this innovative guide to econometrics uses simple geometrical arguments to develop students' intuitive understanding of basic and advanced topics, emphasizing throughout the practical applications of modern theory and nonlinear techniques of estimation. One theme of the text is the use of artificial regressions for estimation, reference, and specification testing of nonlinear models, including diagnostic tests for parameter constancy, serial correlation, heteroscedasticity, and other types of mis-specification. Explaining how estimates can be obtained and tests can be carried out, the authors go beyond a mere algebraic description to one that can be easily translated into the commands of a standard econometric software package. Covering an unprecedented range of problems with a consistent emphasis on those that arise in applied work, this accessible and coherent guide to the most vital topics in econometrics today is indispensable for advanced students of econometrics and students of statistics interested in regression and related topics. It will also suit practising econometricians who want to update their skills. Flexibly designed to accommodate a variety of course levels, it offers both complete coverage of the basic material and separate chapters on areas of specialized interest.

Estimation and Inference in Econometrics

The author's preface gives an outline: "This book is about weakconvergence methods in metric spaces, with applications sufficient to show their power and utility. The Introduction motivates the definitions and indicates how the theory will yield solutions to problems arising outside it. Chapter 1 sets out the basic general theorems, which are then specialized in Chapter 2 to the space C[0, l ] of continuous functions on the unit interval and in Chapter 3 to the space D [0, 1 ] of functions with discontinuities of the first kind. The results of the first three chapters are used in Chapter 4 to derive a variety of limit theorems for dependent sequences of random variables. " The book develops and expands on Donsker's 1951 and 1952 papers on the invariance principle and empirical distributions. The basic random variables remain real-valued although, of course, measures on C[0, l ] and D[0, l ] are vitally used. Within this framework, there are various possibilities for a different and apparently better treatment of the material. More of the general theory of weak convergence of probabilities on separable metric spaces would be useful. Metrizability of the convergence is not brought up until late in the Appendix. The close relation of the Prokhorov metric and a metric for convergence in probability is (hence) not mentioned (see V. Strassen, Ann. Math. Statist. 36 (1965), 423-439; the reviewer, ibid. 39 (1968), 1563-1572). This relation would illuminate and organize such results as Theorems 4.1, 4.2 and 4.4 which give isolated, ad hoc connections between weak convergence of measures and nearness in probability. In the middle of p. 16, it should be noted that C*(S) consists of signed measures which need only be finitely additive if 5 is not compact. On p. 239, where the author twice speaks of separable subsets having nonmeasurable cardinal, he means "discrete" rather than "separable." Theorem 1.4 is Ulam's theorem that a Borel probability on a complete separable metric space is tight. Theorem 1 of Appendix 3 weakens completeness to topological completeness. After mentioning that probabilities on the rationals are tight, the author says it is an

Convergence of probability measures

The Theory of Monopolistic Competition.

Under the hood Issues in the specification and interpretation of spatial regression models

We investigate the nature of price competition among firms that produce differentiated products and compete in markets that are limited in extent. We propose an instrumental variables series estimator for the matrix of cross price response coefficients, demonstrate that our estimator is consistent, and derive its asymptotic distribution. Our semiparametric approach allows us to discriminate among models of global competition, in which all products compete with all others, and local competition, in which products compete only with their neighbors. We apply our semiparametric estimator to data from U.S. wholesale gasoline markets and find that, in this market, competition is highly localized.

Spatial price competition: A semiparametric approach

Contracting in space: An application of spatial statistics to discrete-choice models

In this paper we study the regional pattern of municipal business property tax rates in the province of British Columbia. Reduced-form tax-setting equations produce some evidence that municipal governments respond to tax changes in neighbouring jurisdictions. A joint investigation of the determinants of tax base and municipal taxation decisions, however, reveals that it is difficult to interpret this response as arising primarily out of competition over tax base. There is also some evidence that municipal tax rates are sensitive to taxes set on the same base by super-municipal bodies. JEL Classification: C33, H71



Les determinants des taux d'imposition municipale en Colombie Britannique. Dans ce memoire, les auteurs etudient le pattern regional des taux d'imposition municipale sur la propriete fonciere commerciale dans la province de la Colombie Britannique. On montre a l'aide d'un modele en forme reduite d'equations de definition des taux d'imposition que les gouvernements municipaux reagissent aux changements dans les taux d'imposition dans leur voisinage. Cependant, un examen conjoint des determinants de la base d'imposition et des decisions municipales montre qu'il est difficile d'interpreter cette reaction comme emanant d'une concurrence fiscale. On montre aussi que les taux d'imposition municipale sont sensibles aux niveaux de fiscalite imposes sur la meme base par les autorites supra-municipales.

The determinants of municipal tax rates in British Columbia

https://www.economics.ubc.ca/files/2013/05/pdf_paper_margaret-slade-mergers-brandcomp-pint.pdf

Mergers, brand competition, and the price of a pint

The purpose of this paper is threefold. First, we give an overview of the general direction the spatial econometrics literature has taken without attempting to provide a representative survey of all interesting work that has appeared. Second, we identify a number of problems in spatial econometrics that are as yet unresolved. Finally, we provide advocacy for the notion that new spatial econometric theory should be inspired by actual empirical applications as opposed to being directed by what appears to be the most obvious extension of what is currently available.

/pdf/the-future-of-spatial-econometrics-18nzphd6jw.pdf

Joris Pinkse

Papers

Spatial price competition: A semiparametric approach

Contracting in space: An application of spatial statistics to discrete-choice models

The determinants of municipal tax rates in British Columbia

Mergers, brand competition, and the price of a pint

The future of spatial econometrics