Convergence of Probability Measures. By P. Billingsley. Chichester, Sussex, Wiley, 1968. xii, 253 p. 9 1/4“. 117s.

Convergence of Probability Measures

Well-being : the foundations of hedonic psychology

Ever since Richard Stone (1954) first estimated a system of demand equations derived explicitly from consumer theory, there has been a continuing search for alternative specifications and functional forms. Many models have been proposed, but perhaps the most important in current use, apart from the original linear expenditure system, are the Rotterdam model (see Henri Theil, 1965, 1976; Anton Barten) and the translog model (see Laurits Christensen, Dale Jorgenson, and Lawrence Lau; Jorgenson and Lau). Both of these models have been extensively estimated and have, in addition, been used to test the homogeneity and symmetry restrictions of demand theory. In this paper, we propose and estimate a new model which is of comparable generality to the Rotterdam and translog models but which has considerable advantages over both. Our model, which we call the Almost Ideal Demand System (AIDS), gives an arbitrary first-order approximation to any demand system; it satisfies the axioms of choice exactly; it aggregates perfectly over consumers without invoking parallel linear Engel curves; it has a functional form which is consistent with known household-budget data; it is simple to estimate, largely avoiding the need for non-linear estimation; and it can be used to test the restrictions of homogeneity and symmetry through linear restrictions on fixed parameters. Although many of these desirable properties are possessed by one or other of the Rotterdam or translog models, neither possesses all of them simultaneously. In Section I of the paper, we discuss the theoretical specification of the AIDS and justify the claims in the previous paragraph. In Section II, the model is estimated on postwar British data and we use our results to test the homogeneity and symmetry restrictions. Our results are consistent with earlier findings in that both sets of restrictions are decisively rejected. We also find that imposition of homogeneity generates positive serial correlation in the errors of those equations which reject the restrictions most strongly; this suggests that the now standard rejection of homogeneity in demand analysis may be due to insufficient attention to the dynamic aspects of consumer behavior. Finally, in Section III, we offer a summary and conclusions. We believe that the results of this paper suggest that the AIDS is to be recommended as a vehicle for testing, extending, and improving conventional demand analysis. This does not imply that the system, particularly in its simple static form, is to be regarded as a fully satisfactory explanation of consumers' behavior. Indeed, by proposing a demand system which is superior to its predecessors, we hope to be able to reveal more clearly the problems and potential solutions associated with the usual approach.

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An Almost Ideal Demand System

Technological change and deregulation have caused a major restructuring of the telecommunications equipment industry over the last two decades. We estimate the parameters of a production function for the equipment industry and then use those estimates to analyze the evolution of plant-level productivity over this period. The restructuring involved significant entry and exit and large changes in the sizes of incumbents. Since firms choices on whether to liquidate and the on the quantities of inputs demanded should they continue depend on their productivity, we develop an estimation algorithm that takes into account the relationship between productivity on the one hand, and both input demand and survival on the other. The algorithm is guided by a dynamic equilibrium model that generates the exit and input demand equations needed to correct for the simultaneity and selection problems. A fully parametric estimation algorithm based on these decision rules would be both computationally burdensome and require a host of auxiliary assumptions. So we develop a semiparametric technique which is both consistent with a quite general version of the theoretical framework and easy to use. The algorithm produces markedly different estimates of both production function parameters and of productivity movements than traditional estimation procedures. We find an increase in the rate of industry productivity growth after deregulation. This in spite of the fact that there was no increase in the average of the plants' rates of productivity growth, and there was actually a fall in our index of the efficiency of the allocation of variable factors conditional on the existing distribution of fixed factors. Deregulation was, however, followed by a reallocation of capital towards more productive establishments (by a down sizing, often shutdown, of unproductive plants and by a disproportionate growth of productive establishments) which more than offset the other factors' negative impacts on aggregate productivity.

The Dynamics Of Productivity In The Telecommunications Equipment Industry

We investigate whether income inequality affects subsequent growth in a cross-country sample for 1965-90, using the models of Barro (1997), Bleaney and Nishiyama (2002) and Sachs and Warner (1997), with negative results. We then investigate the evolution of income inequality over the same period and its correlation with growth. The dominating feature is inequality convergence across countries. This convergence has been significantly faster amongst developed countries. Growth does not appear to influence the evolution of inequality over time. Outline

https://www.econstor.eu/bitstream/10419/81822/1/02-28.pdf

Economic growth and income inequality

Focuses on additive and homogeneous production possibility frontiers that have played an important role in formulating statistical tests of the theory of production. Characterization of the class of production possibility frontiers that are homogenous and additive; Representation of the production possibility frontier; Statistical tests of the theory of production. (Из Ebsco)

https://www.jstor.org/stable/pdfplus/1927992.pdf

Transcendental logarithmic production frontiers

Transcendental Logarithmic Utility Functions

This paper develops a simple model to analyze the dual‐track approach to market liberalization as a mechanism for implementing efficient Pareto‐improving economic reform, that is, reform achieving efficiency without creating losers. The approach, based on the continued enforcement of the existing plan while simultaneously liberalizing the market, can be understood as a method for making implicit lump‐sum transfers to compensate potential losers of the reform. The model highlights the critical roles of enforcement of the plan for achieving Pareto improvement and full liberalization of the market track for achieving efficiency. We examine how the dual‐track approach has worked in product and labor market liberalization in China.

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Reform without Losers: An Interpretation of China's Dual‐Track Approach to Transition

The sources of economic growth of the East Asian newly industrialized countries are analyzed empirically using the aggregate meta-production function framework. The sample consists of nine countries—the four East Asian newly industrialized countries (Hong Kong, Singapore, South Korea, and Taiwan) and the Group-of-Five industrialized countries (France, West Germany, Japan, the United Kingdom, and the United States). The results reaffirm the Boskin and Lau (Technical Paper 217, Stanford University, 1990) finding that technical progress can be represented as purely capital-augmenting in all countries. However, the hypothesis that there has been no technical progress during the postwar period cannot be rejected for the four East Asian newly industrialized countries. By far the most important source of economic growth of the East Asian newly industrialized countries is capital accumulation, accounting for between 48 and 72% of their economic growth, in contrast to the case of the Group-of-Five industrialized countries, in which technical progress has played the most important role, accounting for between 46 and 71% of their economic growth. An international comparison of the productive efficiencies of the Group-of-Five countries and the East Asian newly industrialized countries indicates no apparent convergence between the technologies of the two groups of countries. J. Japan. Int. Econ., September 1994, 8 (3), pp. 235-271. Department of Economics, Stanford University, Stanford, California 94305-6072.

Lawrence J. Lau

Papers

Transcendental logarithmic production frontiers

Transcendental Logarithmic Utility Functions

Reform without Losers: An Interpretation of China's Dual‐Track Approach to Transition

The Sources of Economic Growth of the East Asian Newly Industrialized Countries

On identifying the degree of competitiveness from industry price and output data