Abstract
It has been suggested that the size distribution of income follows a pure random walk. If true, this has serious implications for the effectiveness of U.S. Government income transfer policies. In this paper the random walk hypothesis is addressed by examining whether changes in the size distribution of income are independent. Conventional linear second-order time series analysis suggests that the first differenced series indeed are white noise processes. Results obtained with Mizrach’s SNT test, based on developments in the recent literature on nonlinear dynamics, strongly reject the independence null for changes in each of the income inequality measures examined. While this suggests that year-to-year shifts in the income distribution are not random, it does not show that U.S. Government income redistribution policies have been either efficient or effective.
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References
Atkinson, A.B. (1970), “On the Measurement of Inequality,” Journal of Economic Theory, 2, 244 - 263.
Brock, W.A., W.D. Dechert, and J.A. Scheinkman (1987), “A Test for Independence Based on the Correlation Dimension,” working paper, Department of Economics, University of Wisconsin. [Revised version, Brock, W.A., W.D. Dechert, J.A. Scheinkman, and B. LeBaron (1996), Econometric Reviews, 15, 197-235.]
Brock, W.A, D.A. Hsieh, and B. LeBaron (1991), Nonlinear Dynamics, Chaos and Instability, Cambridge, MA: MIT Press.
Chen, R. and R.S. Tsay (1993), “Functional-Coefficient Autoregressive Models,” Journal of the American Statistical Association, 88, 298 - 308.
Cowell, F. (1977), Measuring Inequality, London: Wiley and Sons.
DeJong, D.A., J.C. Nankervis, N.E. Savin, and C.H. Whiteman (1992), “Integration Versus Trend Stationarity in Time Series,” Econometrica, 60, 423 - 433.
Dickey, D.A. and W.A. Fuller (1979), “Distribution of the Estimators for Autoregressive Time Series with a Unit Root,” Journal of the American Statistical Association, 74, 427 - 431.
Hayes, K., D.J. Slottje, S. Porter-Hudak, and G. Scully (1990), “Is the Size Distribution of Income a Random Walk?” Journal of Econometrics, 43, 213 - 226.
Kakwani, N. (1980), “On a Class of Poverty Measures,” Econometrica, 48, 437 - 446.
Kwiatkowski, D., P.C.B. Phillips, P. Schmidt, and Y. Shin (1992), “Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure are we that Economic Time Series have a Unit Root?” Journal of Econometrics, 54, 159 - 178.
McLeod, A.I. and W.K. Li (1983), “Diagnostic Checking ARMA Time Series Models Using Squared-Residual Autocorrelations,” Journal of Time Series Analysis, 4, 269 - 273.
Mizrach, B. (1995), “A Simple Nonparametric Test for Independence,” unpublished working paper, Department of Economics, Rutgers University.
Perron, P. (1989), “The Great Crash, The Oil Price Shock and the Unit Root Hypothesis,” Econometrica, 57, 1361 - 1401.
Phillips, P.C.B. (1987), “Time Series Regression with a Unit Root,” Econometrica, 55, 227 - 302.
Raj, Baldev and Daniel J. Slottje (1994). “The Trend Behavior of Alternative Income Inequality Measures in the United States From 1947-1990 and the Structural Break,” Journal of Business and Economic Statistics, Vol. 12, pp. 479 - 488.
Rothman, P. (1992), “The Comparative Power of the TR Test Against Simple Threshold Models,” Journal of Applied Econometrics, 7, S187 - S195.
Rothman, P. (1998), “Is the Size Distribution of Income Stationary?” Research on Economic Inequality, 8, 1 - 12.
Theil, H., (1967), Economics and Information Theory, Amsterdam: North Holland.
Tsay, R.S. (1991), “Detecting and Modeling Nonlinearity in Univariate Time Series Analysis,” Statistica Sinica, 1, 431 - 452.
Zivot, E. and D.W.K. Andrews (1992), “Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit Root Hypothesis,” Journal of Business and Economic Statistics, 10, 251 - 270.
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© 1999 Physica-Verlag Heidelberg
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Rothman, P. (1999). Independence and Changes in the Size Distribution of Income. In: Slottje, D.J. (eds) Advances in Econometrics, Income Distribution and Scientific Methodology. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-93641-8_18
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DOI: https://doi.org/10.1007/978-3-642-93641-8_18
Publisher Name: Physica-Verlag HD
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