N.A. Moiseev

Plekhanov Russian University of Economics, Moscow, 117997 Russia

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For citation: Moiseev N.A. Improving the accuracy of macroeconomic time series forecast by incorporating functional dependencies between them. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2018, vol. 160, no. 2, pp. 350–356.

Для цитирования: Moiseev N.A. Improving the accuracy of macroeconomic time series forecast by incorporating functional dependencies between them // Учен. зап. Казан. ун-та. Сер. Физ.-матем. науки. – 2018. – Т. 160, кн. 2. – С. 350–356.

Abstract

A parametric approach to forecasting vectors of macroeconomic indicators, which incorporates functional dependencies between them, has been considered in this paper. As it is possible to functionally bind together most indicators, we believe that this information can help to substantially decrease their forecast error. In this paper, we have proposed to readjust the traditionally obtained forecasts given the known analytical form of the relationship between the considered indicators by the maximum likelihood method. We have also derived a standard form of the readjusted probability density function for each analyzed indicator by normalizing its marginal distribution. In order to prove the efficiency of the proposed method, an empirical out-of-sample investigation has been carried out regarding a simple example for such macroeconomic indicators as gross domestic product (GDP), GDP deflator, and GDP in constant prices.

Keywords: regression analysis, GDP, inflation, monetary base, maximum likelihood method, probability density function, functional dependencies of macroeconomic indicators

Acknowledgements. The study was supported by the Russian Foundation for Basic Research (project no. 18-310-20008).

References

1. Moiseev N.A. Linear model averaging by minimizing mean-squared forecast error unbiased estimator.  Model Assisted Stat. Appl., 2016, vol. 11, no. 4, pp. 325--338. doi: 10.3233/MAS-160376.

2. Wang Y., Guo W., Brown M.B. Spline smoothing for bivariate data with application to association between hormones.  Stat. Sin., 2000, vol. 10, no. 2, pp. 377--397.

3. Chen H., Wang Y. A penalized spline approach to functional mixed effects model analysis.  Biometrics, 2010, vol. 67, no. 3, pp. 861--870. doi: 10.1111/j.1541-0420.2010.01524.x.

4. Welsh A.H., Yee T.W. Local regression for vector responses.  J. Stat. Plann. Inference, 2006, vol. 136, no. 9, pp. 3007--3031. doi: 10.1016/j.jspi.2004.01.024.

5. Lestari B., Budiantara I.N., Sunaryo S., Mashuri M., Spline estimator in multi-response nonparametric regression model with unequal correlation of errors.  J. Math. Stat., 2010, vol. 6, no. 3, pp. 327--332.

6. Chamidah N., Budiantara I.N., Sunaryo S., Zain I. Designing of child growth chart based on multi-response local polynomial modeling.  J. Math. Stat., 2012, vol. 8, no. 3, pp. 342--247.

7. Ruchstuhl A., Welsh A.H., Carroll R.J. Nonparametric function estimation of the relationship between two repeatedly measured variables.  Stat. Sin., 2000, vol. 10, pp. 51--71.

8. Welsh A.H., Lin X., Carroll R.J. Marginal longitudinal nonparametric regression: Locality and efficiency of spline and kernel methods.  J. Am. Stat. Assoc,, 2002, vol. 97, no. 458, pp. 482--493.

9. Guo W. Functional mixed effects models.  Biometrics, 2002, vol. 58, no. 1, pp. 121--128. doi: 10.1111/j.0006-341X.2002.00121.x.

10. Antoniadis A., Sapatinas T., Estimation and inference in functional mixed-effects models.  Comput. Stat. Data Anal., 2007, vol. 51, no. 10, pp. 4793--4813. doi: 10.1016/j.csda.2006.09.038.

11. Krishtafovich V., Krishtafovich D., Belkin Y., Gubarev R. Histological identification of animal protein ingredients.  Pak. J. Nutr., 2016, vol. 15, no. 1, pp. 95--98. doi: 10.3923/pjn.2016.95.98.

Recieved

December 8, 2017

   

 Moiseev Nikita Alexandrovich, Candidate of Economics, Associate Professor of the Department of Mathematical Methods in Economics

 Plekhanov Russian University of Economics

 per. Stremyannyi 36, Moscow, 117997 Russia

E-mail:  moiseev.na@rea.ru

 

 

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