Deriving Long-Run Inequality Series from Tax Data*

Prior to the last three decades, regular surveys on household income were rare or non-existent in many developed countries, making it difficult for economists to develop long-run series on income distribution. Using taxation statistics, which tend to be available over a longer time span, I propose a method for imputing the incomes of non-taxpayers, and deriving the underlying distribution of income. Because taxation statistics are typically disaggregated by gender, it is possible to derive separate income distribution series for men and women in countries where individuals file separately. I show that over the past four decades, the distribution of adult male incomes and the distribution of family incomes are highly correlated. Applying this method to Australia, I develop a new annual series for inequality from 1942 to 2001. Inequality fell in the 1950s and the 1970s, and rose during the 1980s and 1990s – a pattern similar to that in the UK.     

DEMOGRAPHIC CHANGE AND INEQUALITY IN THE SIZE DISTRIBUTIONS OF LABOR AND NONLABOR INCOME

This paper utilizes a joint distribution model of labor and nonlabor income that allows us to analyze the impact of demographic change in the U.S. on the marginal distributions of these two income components over time. The beta distribution of the second kind is the hypothetical statistical distribution used in this study to approximate the observed income graduation. This distribution is sum stable which allows us to compare and contrast the marginal distributions in a consistent manner, a property most hypothesized functional forms of income distribution do not possess. We are in effect using a hyperparameter model to do our estimation. We examined the impact of changes over time in labor force participation and population on the marginal distributions of labor and nonlabor income. We disaggregated the variables by sex and age cohorts and found that changes in the age distribution and in the labor supply behavior of women in particular has had a significant effect on the marginal income distributions over time. We also found that the results vary when we examined overall changes in the labor force participation rate vis a vis changes in women's labor force participation separately. The findings are consistent for both income components.     

Income distributions and decomposable divergence measures

Inequality indices evaluate the divergence between the income distribution and the hypothetical situation where all individuals receive the mean income, and are unambiguously reduced by a Pigou–Dalton progressive transfer. This paper proposes a new approach to evaluate the divergence between any two income distributions, where the latter can be a reference distribution for the former. In the case where the reference distribution is perfectly egalitarian – and uniquely in this case – we assume that any progressive transfer reduces the divergence, and that the divergence can be additively separated into inequality and efficiency loss. We characterize the unique class of decomposable divergence measures consistent with these views. We derive the associated relative and absolute subclasses, and we illustrate the applicability of our results. This approach extends the generalized entropy studied in inequality measurement.     

机会不均等:收入分配失衡的经济学解析

改革开放以来,我国经济社会发展取得了巨大的成就,然而,伴随着经济增长,收入差距的不断扩大,分配不公现象日益严峻。本文分析了收入分配差距存在的合理性,审视了当前我国收入分配的状况及特征,在此基础上提出机会不均等是收入差距产生的根本原因,必须深化收入分配制度改革,才能从根本上解决收入分配不公的问题。     

Generalized Spectral Tests for Conditional Mean Models in Time Series with Conditional Heteroscedasticity of Unknown Form

Economic theories in time series contexts usually have implications on and only on the conditional mean dynamics of underlying economic variables. We propose a new class of specification tests for time series conditional mean models, where the dimension of the conditioning information set may be infinite. Both linear and nonlinear conditional mean specifications are covered. The tests can detect a wide range of model misspecifications in mean while being robust to conditional heteroscedasticity and higher order time-varying moments of unknown form. They check a large number of lags, but naturally discount higher order lags, which is consistent with the stylized fact that economic behaviours are more affected by the recent past events than by the remote past events. No specific estimation method is required, and the tests have the appealing „nuisance parameter free” property that parameter estimation uncertainty has no impact on the limit distribution of the tests. A simulation study shows that it is important to take into account the impact of conditional heteroscedasticity; failure to do so will cause overrejection of a correct conditional mean model. In a horse race competition on testing linearity in mean, our tests have omnibus and robust power against a variety of alternatives relative to some existing tests. In an application, we find that after removing significant but possibly spurious autocorrelations due to nonsynchronous trading, there still exists significant predictable nonlinearity in mean for S&P 500 and NASDAQ daily returns.     

Empirical likelihood-based inference for the generalized entropy class of inequality measures

We propose an empirical likelihood-based method of inference for comparing inequality between two populations. A series of Monte Carlo experiments are used to assess our method’s finite sample performance. We illustrate our approach using some Canadian household income data.     

A Bayesian Measure of Poverty in the Developing World

We propose a new methodology to revise the international poverty line (IPL) after Ravallion et al . (2009) using the same database, but augmented with new variables to take into account social inclusion in the definition of poverty along the lines of Atkinson and Bourguignon (2001). We provide an estimation of the world income distribution and of the corresponding number of poor people in the developing world. Our revised IPL is based on an augmented two‐regime model estimated using a Bayesian approach, which allows us to take into account uncertainty when defining the reference group of countries where the IPL applies. The influence of weighting by population is discussed, as well as the IPL revision proposed in Deaton (2010). We also discuss the impact of using the new 2011 PPP and the recent IPL revision made by the World Bank.     

TESTING THE ONE‐WAY EFFECT IN THE PRESENCE OF TREND BREAKS*

This paper provides an approach to testing the measures of the one‐way effect for cointegrated vector time‐series in the presence of trend breaks. We propose Wald testing the measures and their computational algorithm, an extension of previous work by Hosoya and Yao and Hosoya, to the case where trend breaks are explicitly taken into account in the cointegration relationship. On the basis of the proposed inferential method and the derived evidence, we present a causal structure characterization of money supply and income as well as interest rates for the last 44 years of the Japanese economy, and contrast it with the results of Yao and Hosoya.     

Limits to Investment Exhilarationism

The aim of the paper is to understand the limits of an exhilarationist regime from a theoretical point of view. We propose a model where distributive shares are endogenously determined by assuming labor productivity to vary with the level of output/capacity utilization due to economies of scale. With an additional assumption of investment being determined by profit share we have a self-reinforcing interaction between the level of output and distribution of income in this model. Is there a limit to such a cumulative process? Here we analyze this question without relying on exogenous mechanisms such as ``ceiling/floor'' concepts.     

Identifying the Unique Polarization Index: A Mean‐Preserving Axiomatic Approach

In this paper, we propose a new axiomatic approach to identify the unique polarization index from a class of polarization measures proposed by Esteban and Ray. Methodologically, we consider the absolute income or the mean normalized income instead of the logarithm of income, which in our opinion is useful under various circumstances. Accordingly, we propose a set of mean‐preserving axioms so that the obfuscating effects of income scale can be removed. We also discuss some properties of the polarization indices based on different types of income differences.     

Global distribution and dynamics of economic freedom: Non-parametric approach

The paper exploits the distributional dynamics and structural changes in the endogenous distribution of economic freedom across countries over time by utilizing the Rosenblatt–Parzen Kernel density estimator compared to the original distribution based on the methodology proposed by the Heritage Foundation. We utilize the distribution of economic freedom as a tool to identify which policies enhanced the overall level of economic freedom. We develop the distribution of endogenous economic freedom by decomposing effects of economic freedom on the level of income per capita in IV–2SLS estimation framework for a panel of 134 countries to identify the effect of institutions of economic freedom on the level of per capita income. Structural estimates indicate that improvements in the monetary, fiscal, and labor freedom exert the strongest direct effect on the level of economic freedom and indirect effect on the level of real income per capita. Our study demonstrates considerable differences between the original and endogenous distributional dynamics of economic freedom over time. In exploiting the non-parametric setting of endogenous economic freedom, we identify a recent emergence of twin-peak distribution across countries where developing nations have improved the level of economic freedom considerably compared to the initial year.     

New estimates of labour supply elasticities for married women in Canada 1996–2005

In this article, we estimate income and substitution labour supply and participation elasticities for Canadian married women using data from the Survey of Labour and Income Dynamics 1996–2005. We use the Canadian Tax and Credit Simulator (CTaCS) and detailed information on the structure of income at the household level to compute the marginal tax rates faced by each individual. We then use these marginal tax rates to compute net own-wage, spouse-wage, and nonlabour income. We show how the magnitude of the estimated elasticities varies depending on whether net or gross wages and income are used in the estimation procedure, and quantify biases caused by using average tax rates instead of marginal tax rates. Finally, because marginal tax rates vary significantly over the sample, we use quantile regressions to compare elasticities at different points of the hours distribution. Overall, our results show that public policies now have, on average, less scope for influencing hours of work than 10 years ago. However, the quantile results show that wives working fewer hours per week are more sensitive to changes in their own or spouses’ wages.     

中国财产性生产要素总量与结构的分析

本文从使用形态和所有者权益两个角度估算出了中国的资本总额及资本的使用结构和所有权结构 ,指出了中国目前对财产性生产要素及要素收入的核算中存在的缺陷 ,并进而考察了资本的收益率和资本收入的流向 ,从而说明了财产性生产要素在中国的配置状况及对国民收入分配的影响。     

Dynamic Seemingly Unrelated Cointegrating Regressions

We propose the parametric Dynamic Seemingly Unrelated Regression (DSUR) estimator for simultaneous estimation of multiple cointegrating regressions. DSUR is efficient when the equilibrium errors are correlated across equations and is applicable for panel cointegration estimation in environments where the cross section is small relative to the available time series. We study the asymptotic and small sample properties of the DSUR estimator for both heterogeneous and homogeneous cointegrating vectors. We then apply the method to analyse two long-standing problems in international economics. Our first application revisits the estimation of long-run correlations between national investment and national saving. Our second application revisits the question of whether the forward exchange rate is an unbiased predictor of the future spot rate.     

RELATIVE INEQUALITY, ABSOLUTE INEQUALITY, AND WELFARE: LARGE SAMPLE TESTS FOR PARTIAL ORDERS

Two general welfare criteria, mean-relative Lorenz and mean-absolute Lorenz dominance, induce partial orders on income distributions. We propose asymptotically distribution-free inference procedures, based on the union-intersection principle, for these two welfare criteria. Unlike classical tests, our procedures allow one to distinguish among dominance, equality, and noncomparability. We show that union-intersection tests must be used to test for partial orders, and that the statistical ordering is acyclic. The tests are applied to compare the UK distribution of real family income to five other countries.     

On poverty traps,thresholds and take-offs

Recent studies on economic growth focus on persistent inequality across countries. In this paper we study mechanisms that may give rise to such persistent inequality. We consider countries that accumulate capital in order to increase the per capita income in the long run. We show that the long-run growth dynamics of those countries can generate a twin-peak distribution of per capita income. The twin-peak distribution is caused by (1) locally increasing returns to scale and (2) capital market constraints. These two forces give rise to a twin-peaked distribution of per capita income in the long run. In our model investment decisions are separated from consumption decisions and we thus do not have to consider preferences. Empirical evidence in support of a twin-peak distribution of per capita income is provided.     

Testing stochastic income convergence in seasonal heterogeneous panels

In this paper we introduce a seasonal version of the Solow–Swan growth model and acquire an empirical income convergence equation. We take this equation as a basis to investigate whether income convergence exists in an OECD sample. To do this, we propose the test statistics under various asymptotic properties for some of the seasonal frequencies in the context of nonstationary heterogeneous panels. Critical values and moments of our statistics are generated and their finite sample performances are examined via Monte Carlo simulations.     

Economic growth and the environment: Theory and facts

Several recent papers propose competing theoretical explanations for the empirical observation of an inverted U-shape relationship between environmental degradation and per-capita income. We propose the following test of the theory: calibrate a theoretical model to an already developed economy using information unrelated to the pollution–income curve. Then simulate the model starting from a less developed initial condition and compare the predicted pollution–income relationship with that in the data. Our results are mixed. Some support exists for the theory that the inverted U-shape results from a corner solution in which less developed countries do not abate pollution. However, because we find abatement is relatively inexpensive, the model predicts pollution peaks at a level of per capita income much lower than that observed in our U.S. data. For some pollutants, we find evidence of a structural break in preferences in the early 1970s. When the structural break is added, the model performs better for two of three pollutants.     

A TWO FACTOR MODEL OF INCOME DISTRIBUTION DYNAMICS

This paper analyzes empirical income distributions and proposes a simple stochastic model to explain the stationary distribution and deviations from it. Using the individual tax returns data in the U.S. and Japan for 40 years, we first summarize the shape of the income distribution by an exponential decay up to about the 90th percentile and a power decay for the top 1 percent. We then propose a minimal stochastic process of labor and asset income to reproduce the empirical characteristics. In particular, the Pareto exponent is derived analytically and matched with empirical statistics.     

Comparisons of heterogeneous distributions and dominance criteria

We are interested in the comparisons of standard-of-living across societies when observations of both income and household structure are available. We generalise the approach of A.B. Atkinson and F. Bourguignon (1987) [3] to the case where the marginal distributions of needs can vary across the household populations under comparison. We assume that a sympathetic observer uses a utilitarian social welfare function in order to rank heterogeneous income distributions. Insofar as any individual can play the role of the observer, we take the unanimity point of view according to which the planner?s judgements have to comply with a certain number of basic normative principles. We impose increasingly restrictive conditions on the household?s utility function and we investigate their effects on the resulting rankings of the distributions. This leads us to propose four dominance criteria that can be used for providing an unambiguous ranking of income distributions for heterogeneous populations.