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Persistence, Mean-Reversion and Non-linearities in Infant Mortality Rates

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Abstract

This study examines the time series behavior of infant mortality rates within a long memory approach with non-linear trends using data for 37 countries. The main results show significant differences both in the degree of integration and non-linearities among the analyzed series. Furthermore, non-linearities in the time trends are found in most of the cases, in contrast with the main assumption of linearity used in the literature. Finally, the results on the integration order of the series have important policy implications in many areas, such as on international convergence in mortality rates, on the income and infant mortality relationship, and, on whether health policy interventions will have transitory or permanent effects on infant mortality rates.

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Notes

  1. See Cuestas and Gil-Alana (2015).

  2. We only used series with sample sizes higher than 50 observations. Otherwise, the results would be completely unreliable.

  3. Based on the short sample sizes used in this application, we believe that the I(d) specification with white noise errors can be sufficient to describe the time dependence in the data, with no need of extra (weakly) autocorrelation in the error term.

References

  • Barros, C. P., Figueiredo, O. H. S., & Wanke, P. (2015). Peasants’ poverty and inequality in Angola. Social Indicators Research. doi:10.1007/s11205-015-1055-x.

    Google Scholar 

  • Ben Nasr, A., Ajmi, A. N., & Gupta, R. (2014). Modeling the volatility of the Dow Jones Islamic market world index using a fractionally integrated time varying GARCH (FITVGARCH) model. Applied Financial Economics, 24, 993–1004.

    Article  Google Scholar 

  • Bierens, H. J. (1997). Testing the unit root with drift hypothesis against nonlinear trend stationarity with an application to the US price level and interest rate. Journal of Econometrics, 81, 29–64.

    Article  Google Scholar 

  • Bishai, D. (1995). Infant mortality time series are random walk with drift: Are they cointegrated with socio economic variables? Health Economics, 4, 157–167.

    Article  Google Scholar 

  • Bishai, D., & Opuni, M. (2009). Are infant mortality rate declines exponential? The general pattern of 20th century infant mortality rate decline. Population Health Metrics, 7(13), 1–8.

    Google Scholar 

  • Caporale, G. M., & Gil-Alana, L. A. (2007). Nonlinearities and fractional integration in the US unemployment rate. Oxford Bulletin of Economics and Statistics, 69(4), 521–544.

    Article  Google Scholar 

  • Caporale, G., & Gil-Alana, L. A. (2014). Infant mortality rates: Time trends and fractional integration. Journal of Applied Statistics, 42, 589–602.

    Article  Google Scholar 

  • Cheung, Y. W. (1993). Tests for fractional integration. A Monte Carlo investigation. Journal of Time Series Analysis, 14, 331–345.

    Article  Google Scholar 

  • Conley, D., & Springer, K. W. (2001). Welfare state and infant mortality. American Journal of Sociology, 107, 768–807.

    Article  Google Scholar 

  • Cuestas, J. C., & Gil-Alana L. A., (2015). A non-linear approach with long range dependence based on Chebyshev polynomials. Studies in Non-Linear Dynamics and Econometrics, (forthcoming).

  • Dahlhaus, R. (1989). Efficient parameter estimation for self-similar process. Annals of Statistics, 17, 1749–1766.

    Article  Google Scholar 

  • Dickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Society, 75, 427–431.

    Google Scholar 

  • Diebold, F. X., & Inoue, A. (2001). Long memory and regime switching. Journal of Econometrics, 105, 131–159.

    Article  Google Scholar 

  • Diebold, F. S., & Rudebusch, G. (1991). On the power of Dickey–Fuller tests against fractional alternatives. Economic Letters, 35, 155–160.

    Article  Google Scholar 

  • Dreger, C., & Reimers, H., (2005). Health care expenditures in OECD countries: A panel unit root and cointegration analysis. IZA Discussion Paper Series 1469.

  • Erdogan, E., Ener, M., & Arica, F. (2013). The strategic role of infant mortality in the process of economic growth: An application for high income OECD countries. Procedia Social and Behavioral Sciences, 99, 19–25.

    Article  Google Scholar 

  • Gil-Alana, L. A. (2008). Fractional integration and structural breaks at unknown periods of time. Journal of Time Series Analysis, 29, 163–185.

    Article  Google Scholar 

  • Gil-Alana, L. A., & Hualde, J. (2009). Fractional integration and cointegration. An overview with an empirical application. In T. C. Mills & K. Patterson (Eds.), The Palgrave handbook of applied econometrics (Vol. 2, pp. 434–472). New York: MacMillan Publishers.

    Chapter  Google Scholar 

  • Giraitis, L., Kokoszka, P., & Leipus, R. (2001). Testing for long memory in the presence of a general trend. Journal of Applied Probability, 38, 1033–1054.

    Article  Google Scholar 

  • Granger, C. W. J., & Hyung, N. (2004). Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns. Journal of Empirical Finance, 11, 399–421.

    Article  Google Scholar 

  • Hamming, R. W. (1973). Numerical methods for scientists and engineers. New York: Dover.

    Google Scholar 

  • Hassler, U., & Wolters, J. (1994). On the power of unit root tests against fractional alternatives. Economics Letters, 45, 1–5.

    Article  Google Scholar 

  • Kapetanios, G., Shin, Y., & Snell, A. (2003). Testing for a unit root in the nonlinear STAR framework. Journal of Econometrics, 112, 359–379.

    Article  Google Scholar 

  • Lee, D., & Schmidt, P. (1996). On the power of the KPSS test of stationarity against fractionally integrated alternatives. Journal of Econometrics, 73, 285–302.

    Article  Google Scholar 

  • Mikosch, T., & Starica, C. (2004). Nonstationarities in financial time series, the long range dependence and the IGARCH effects. Review of Economics and Statistics, 86, 378–390.

    Article  Google Scholar 

  • Ouliaris, S., Park, J. Y., & Phillips, P. C. B. (1989). Testing for a unit root in the presence of a maintained trend. In B. Ray (Ed.), Advances in econometrics and modelling (pp. 6–28). Dordrecht: Kluwer.

    Google Scholar 

  • Robinson, P. M. (1994). Efficient tests of nonstationary hypotheses. Journal of the American Statistical Association, 89, 1420–1437.

    Article  Google Scholar 

  • Sartorious, B., & Sartorious, K. (2014). Global infant mortality trends and attributable determinants—An ecological study using data from 192 countries for the period 1990–2011. Population Health Metrics, 12, 1–29.

    Article  Google Scholar 

  • Siah, A., & Lee, G. (2015). Female labour force participation, infant mortality and fertility in Malaysia. Journal of the Asia Pacific Economy, 20(4), 613–629.

    Article  Google Scholar 

  • Silva, S. (2007). A panel stationarity test for series with breaks in either level or trend. Sydney, NSW: School of Economics and Political Science, University of Sydney.

    Google Scholar 

  • Smyth, G. K. (1998). Polynomial approximation. Chichester: Wiley.

    Google Scholar 

  • Tomasevic, N. M., & Stanivuk, T. (2009). Regression analysis and approximation by means of Chebyshev polynomial. Informatologia, 42(3), 166–172.

    Google Scholar 

  • United Nations. (2000). United Nations Millennium Declaration. Resolution adopted by the General Assembly. http://www.refworld.org/docid/3b00f4ea3.html.

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Acknowledgments

Luis A. Gil-Alana gratefully acknowledges financial support from gratefully acknowledges financial support from the Ministerio de Economía y Competitividad (ECO2014-55236). Juncal Cunado gratefully acknowledges financial support from the Ministerio de Economía y Competitividad (ECO2014-55496). Comments from the Editor and two anonymous reviewers are gratefully acknowledged.

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Correspondence to Juncal Cunado.

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Gil-Alana, L.A., Cunado, J. & Gupta, R. Persistence, Mean-Reversion and Non-linearities in Infant Mortality Rates. Soc Indic Res 131, 393–405 (2017). https://doi.org/10.1007/s11205-016-1253-1

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  • DOI: https://doi.org/10.1007/s11205-016-1253-1

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