Estimation and Inference for Actual and Counterfactual Growth Incidence Curves

61 Pages Posted: 22 Jan 2017

See all articles by Francisco H. G. Ferreira

Francisco H. G. Ferreira

World Bank - Development Research Group (DECRG)

Sergio Firpo


Antonio F. Galvao

University of Arizona

Multiple version iconThere are 2 versions of this paper

Date Written: January 2017


Different episodes of economic growth display widely varying distributional characteristics, both across countries and over time. Growth is sometimes accompanied by rising and sometimes by falling inequality. Applied economists have come to rely on the Growth Incidence Curve, which gives the quantile-specific rate of income growth over a certain period, to describe and analyze the incidence of economic growth. This paper discusses the identification conditions, and develops estimation and inference procedures for both actual and counterfactual growth incidence curves, based on general functions of the quantile potential outcome process over the space of quantiles. The paper establishes the limiting null distribution of the test statistics of interest for those general functions, and proposes resampling methods to implement inference in practice. The proposed methods are illustrated by a comparison of the growth processes in the United States and Brazil during 1995-2007. Although growth in the average real wage was disappointing in both countries, the distribution of that growth was markedly different. In the United States, wage growth was mediocre for the bottom 80 percent of the sample, but much more rapid for the top 20 percent. In Brazil, conversely, wage growth was rapid below the median, and negative at the top. As a result, inequality rose in the United States and fell markedly in Brazil.

Keywords: growth incidence curves, potential outcomes, inference, quantile process

JEL Classification: C14, C21, D31, I32

Suggested Citation

Ferreira, Francisco H. G. and Firpo, Sergio and Galvao, Antonio F., Estimation and Inference for Actual and Counterfactual Growth Incidence Curves (January 2017). IZA Discussion Paper No. 10473. Available at SSRN:

Francisco H. G. Ferreira (Contact Author)

World Bank - Development Research Group (DECRG) ( email )

1818 H. Street, N.W.
Washington, DC 20433
United States
202-473-4382 (Phone)

Sergio Firpo

Insper ( email )

R Quata 300
Sao Paulo, 04542-030

HOME PAGE: http://

Antonio F. Galvao

University of Arizona ( email )

McClelland Hall, Room 401 1130 E. Helen Street
Tucson, AZ 85721
United States

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