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Forecasting Quarterly GDP Growth and the GDP Deflator in Albania under Data Scarcity: A Comparative Evaluation of Statistical and Machine Learning Models

Author

Listed:
  • Dezdemona Gjylapi
  • Alketa Hyso
  • Filloreta Madani

Abstract

The purpose of this paper is to evaluate forecasts of Albania’s Real GDP Growth and GDP Deflator under real-time operational constraints by conducting an operational backtest using the leakage-free rolling origin approach and mixed-frequency predictors. The main difficulty is the small number of observations in the quarterly data set, partially observed predictors, and a 90-day publication delay for GDP. In this study, we evaluate 19 models grouped into six families: baseline univariate rules, classical time-series models, dynamic regression/SARIMAX specifications, regularised linear models, bridge/factor-augmented models, and selected nonlinear/probabilistic machine-learning models. These approaches were applied individually to Real GDP Growth and the GDP Deflator to generate point forecasts and forecast intervals for 1-, 2-, and 4-quarter-ahead horizons, using metrics such as MAE, RMSE, interval accuracy and coverage, interval width, and CRPS. Robustness was assessed by conducting Diebold-Mariano tests, applying the block bootstrap, and treating the period after 2016 as an out-of-sample period. The three highest-ranking models are univariate rules that converge toward the expanding-window in-sample mean. This suggests mean reversion in GDP growth and persistence in the GDP deflator. Among the structured models, Bridge_PCA_Ridge is the most consistent option at the 1- and 2-quarter horizons, while SARIMAX is the strongest structured specification at H=4. Selected nonlinear machine-learning models did not improve upon the regularised linear alternatives in this sample.

Suggested Citation

  • Dezdemona Gjylapi & Alketa Hyso & Filloreta Madani, 2026. "Forecasting Quarterly GDP Growth and the GDP Deflator in Albania under Data Scarcity: A Comparative Evaluation of Statistical and Machine Learning Models," Economic Studies journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 6, pages 107-131.
  • Handle: RePEc:bas:econst:y:2026:i:6:p:107-131
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    References listed on IDEAS

    as
    1. Pesaran, M. Hashem & Timmermann, Allan, 2005. "Small sample properties of forecasts from autoregressive models under structural breaks," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 183-217.
    2. Tóth, Peter, 2014. "Malý dynamický faktorový model na krátkodobé prognózovanie slovenského HDP [A Small Dynamic Factor Model for the Short-Term Forecasting of Slovak GDP]," MPRA Paper 63713, University Library of Munich, Germany.
    3. Spyros Makridakis & Evangelos Spiliotis & Vassilios Assimakopoulos, 2018. "Statistical and Machine Learning forecasting methods: Concerns and ways forward," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-26, March.
    4. Hyndman, Rob J. & Koehler, Anne B. & Snyder, Ralph D. & Grose, Simone, 2002. "A state space framework for automatic forecasting using exponential smoothing methods," International Journal of Forecasting, Elsevier, vol. 18(3), pages 439-454.
    5. Stock J.H. & Watson M.W., 2002. "Forecasting Using Principal Components From a Large Number of Predictors," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1167-1179, December.
    6. Bergmeir, Christoph & Hyndman, Rob J. & Koo, Bonsoo, 2018. "A note on the validity of cross-validation for evaluating autoregressive time series prediction," Computational Statistics & Data Analysis, Elsevier, vol. 120(C), pages 70-83.
    7. Hui Zou & Trevor Hastie, 2005. "Regularization and variable selection via the elastic net," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(2), pages 301-320, April.
    8. Harvey, David & Leybourne, Stephen & Newbold, Paul, 1997. "Testing the equality of prediction mean squared errors," International Journal of Forecasting, Elsevier, vol. 13(2), pages 281-291, June.
    9. Marcellino, Massimiliano & Stock, James H. & Watson, Mark W., 2006. "A comparison of direct and iterated multistep AR methods for forecasting macroeconomic time series," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 499-526.
    10. Jonathan Hersh & Matthew Harding, 2018. "Big Data in economics," World of Labour, LISER, pages 451-451, September.
    11. Gneiting, Tilmann & Raftery, Adrian E., 2007. "Strictly Proper Scoring Rules, Prediction, and Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 359-378, March.
    12. Hui Zou & Trevor Hastie, 2005. "Addendum: Regularization and variable selection via the elastic net," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(5), pages 768-768, November.
    13. Assimakopoulos, V. & Nikolopoulos, K., 2000. "The theta model: a decomposition approach to forecasting," International Journal of Forecasting, Elsevier, vol. 16(4), pages 521-530.
    14. Michal Franta & David Havrlant & Marek Rusnák, 2016. "Forecasting Czech GDP Using Mixed-Frequency Data Models," Journal of Business Cycle Research, Springer;Centre for International Research on Economic Tendency Surveys (CIRET), vol. 12(2), pages 165-185, December.
    15. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
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    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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