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A Stochastic Model with Penalized Coefficients for Spatial Price Comparisons: An Application to Regional Price Indexes in Italy

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  • José‐María Montero
  • Tiziana Laureti
  • Román Mínguez
  • Gema Fernández‐Avilés

Abstract

This paper focuses on a new strand of research that uses stochastic approach for making spatial price comparisons. We propose a novel method to account for the presence of spatial dependencies in consumer prices and consequently in price indexes by imposing penalization conditions on the estimation of traditional CPD models leading to the spatially‐penalized country‐product‐dummy (SP‐CPD) model. The paper proposes an appropriate estimation strategy, which enables us to simultaneously estimate all the parameters in the model, including the smoothing parameter of the penalization term instead of determining it externally. In order to estimate spatial price indexes for areas lacking in price data, we suggest applying the kriging methodology to the price indexes obtained from the SP‐CPD model. This new approach is applied to official Italian CPI data for constructing regional spatial price indexes for 2014. The results show that price levels are higher in the Northern‐Central regions than in the South.

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  • José‐María Montero & Tiziana Laureti & Román Mínguez & Gema Fernández‐Avilés, 2020. "A Stochastic Model with Penalized Coefficients for Spatial Price Comparisons: An Application to Regional Price Indexes in Italy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 66(3), pages 512-533, September.
    • Handle: RePEc:bla:revinw:v:66:y:2020:i:3:p:512-533
    DOI: 10.1111/roiw.12422
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    as
    1. Robert Summers, 1973. "International Price Comparisons Based Upon Incomplete Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 19(1), pages 1-16, March.
    2. Crucini, Mario J. & Shintani, Mototsugu & Tsuruga, Takayuki, 2015. "Noisy information, distance and law of one price dynamics across US cities," Journal of Monetary Economics, Elsevier, vol. 74(C), pages 52-66.
    3. Selvanathan, E A, 1989. "A Note on the Stochastic Approach to Index Numbers," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(4), pages 471-474, October.
    4. D.S. Prasada Rao, 2004. "The Country-Product-Dummy Method: A Stochastic Approach to the Computation of Purchasing Power Parities in the ICP," CEPA Working Papers Series WP032004, School of Economics, University of Queensland, Australia.
    5. Gholamreza Hajargasht & D. S. Prasada Rao, 2010. "Stochastic Approach To Index Numbers For Multilateral Price Comparisons And Their Standard Errors," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(s1), pages 32-58, June.
    6. Koo, Jahyeong & Phillips, Keith R & Sigalla, Fiona D, 2000. "Measuring Regional Cost of Living," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 127-136, January.
    7. D. Coondoo & A. Majumder & R. Ray, 2004. "A Method of Calculating Regional Consumer Price Differentials with Illustrative Evidence from India," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 50(1), pages 51-68, March.
    8. Choi, Chi-Young & Choi, Horag, 2016. "The role of two frictions in geographic price dispersion: When market friction meets nominal rigidity," Journal of International Money and Finance, Elsevier, vol. 63(C), pages 1-27.
    9. Amita Majumder & Ranjan Ray & Kompal Sinha, 2015. "Estimating Purchasing Power Parities from Household Expenditure Data Using Complete Demand Systems with Application to Living Standards Comparison: India and Vietnam," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(2), pages 302-328, June.
    10. Engel, Charles & Rogers, John H, 2001. "Violating the Law of One Price: Should We Make a Federal Case Out of It?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(1), pages 1-15, February.
    11. Selin Ozyurt, 2018. "Regional dynamics of economic performance in the EU: To what extent do spatial spillovers matter?," REGION, European Regional Science Association, vol. 5, pages 75-96.
    12. Choi, Chi-Young & Choi, Horag, 2014. "Does distance reflect more than transport costs?," Economics Letters, Elsevier, vol. 125(1), pages 82-86.
    13. Majumder Amita & Ray Ranjan & Santra Sattwik, 2017. "Sensitivity of Purchasing Power Parity Estimates to Estimation Procedures and their Effect on Living Standards Comparisons," Journal of Globalization and Development, De Gruyter, vol. 8(1), pages 1-25, June.
    14. Robert J. Hill & Iqbal A. Syed, 2015. "Improving International Comparisons of Prices at Basic Heading Level: An Application to the Asia-Pacific Region," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 61(3), pages 515-539, September.
    15. Chen, Yi Vivian & Heston, Alan & Lipsey, Robert, 2000. "International and interarea comparisons of income, output and prices," Journal of Asian Economics, Elsevier, vol. 11(3), pages 363-364, December.
    16. repec:bla:revinw:v:42:y:1996:i:2:p:149-63 is not listed on IDEAS
    17. Erwin Diewert, 2005. "Weighted Country Product Dummy Variable Regressions And Index Number Formulae," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 51(4), pages 561-570, December.
    18. Jan de Haan & Frances Krsinich, 2014. "Scanner Data and the Treatment of Quality Change in Nonrevisable Price Indexes," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(3), pages 341-358, July.
    19. Luigi Biggeri & Tiziana Laureti & Federico Polidoro, 2017. "Computing Sub-national PPPs with CPI Data: An Empirical Analysis on Italian Data Using Country Product Dummy Models," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 131(1), pages 93-121, March.
    20. Dikhanov, Yuri & Palanyandy, Chellam & Capilit, Eileen, 2011. "Subnational Purchasing Power Parities toward Integration of International Comparison Program and Consumer Price Index: The Case of the Philippines," ADB Economics Working Paper Series 290, Asian Development Bank.
    21. Michael Roos, 2006. "Regional price levels in Germany," Applied Economics, Taylor & Francis Journals, vol. 38(13), pages 1553-1566.
    22. Rao, D.S. Prasada & Hajargasht, Gholamreza, 2016. "Stochastic approach to computation of purchasing power parities in the International Comparison Program (ICP)," Journal of Econometrics, Elsevier, vol. 191(2), pages 414-425.
    23. Mary F. Kokoski & Brent R. Moulton & Kimberly D. Zieschang, 1999. "Interarea Price Comparisons for Heterogeneous Goods and Several Levels of Commodity Aggregation," NBER Chapters, in: International and Interarea Comparisons of Income, Output, and Prices, pages 123-169, National Bureau of Economic Research, Inc.
    24. Clements, Kenneth W & Izan, H Y, 1987. "The Measurement of Inflation: A Stochastic Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(3), pages 339-350, July.
    25. Bettina H. Aten, 1999. "Cities in Brazil: An Interarea Price Comparison," NBER Chapters, in: International and Interarea Comparisons of Income, Output, and Prices, pages 211-229, National Bureau of Economic Research, Inc.
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    2. Venera Timiryanova & Irina Lakman & Vadim Prudnikov & Dina Krasnoselskaya, 2022. "Spatial Dependence of Average Prices for Product Categories and Its Change over Time: Evidence from Daily Data," Forecasting, MDPI, vol. 5(1), pages 1-25, December.
    3. Menon, Martina & Perali, Federico & Ray, Ranjan & Tommasi, Nicola, 2023. "Heterogeneity in prices and cost of living within a country: New evidence on the north-south divide in Italy," Economic Modelling, Elsevier, vol. 126(C).
    4. Chunyun Wang & Xiaoxi Yu & Jiang Zhao, 2022. "Identifying the Real Income Disparity in Prefecture-Level Cities in China: Measurement of Subnational Purchasing Power Parity Based on the Stochastic Approach," Sustainability, MDPI, vol. 14(16), pages 1-24, August.
    5. Ilaria Benedetti & Tiziana Laureti & Luigi Palumbo & Brandon M. Rose, 2022. "Computation of High-Frequency Sub-National Spatial Consumer Price Indexes Using Web Scraping Techniques," Economies, MDPI, vol. 10(4), pages 1-20, April.
    6. Ilaria Benedetti & Federico Crescenzi & Tiziana Laureti, 2020. "Measuring Uncertainty for Poverty Indicators at Regional Level: The Case of Mediterranean Countries," Sustainability, MDPI, vol. 12(19), pages 1-19, October.

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