IDEAS home Printed from https://ideas.repec.org/a/vrs/stintr/v16y2015i4p541-562n10.html
   My bibliography  Save this article

Small Area Estimation for Skewed Data in the Presence of Zeroes

Author

Listed:
  • Karlberg Forough

Abstract

Skewed distributions with representative outliers pose a problem in many surveys. Various small area prediction approaches for skewed data based on transformation models have been proposed. However, in certain applications of those predictors, the fact that the survey data also contain a non-negligible number of zero-valued observations is sometimes dealt with rather crudely, for instance by arbitrarily adding a constant to each value (to allow zeroes to be considered as “positive observations, only smaller”, instead of acknowledging their qualitatively different nature).

Suggested Citation

  • Karlberg Forough, 2015. "Small Area Estimation for Skewed Data in the Presence of Zeroes," Statistics in Transition New Series, Statistics Poland, vol. 16(4), pages 541-562, December.
    • Handle: RePEc:vrs:stintr:v:16:y:2015:i:4:p:541-562:n:10
    DOI: 10.21307/stattrans-2015-032
    as

    Download full text from publisher

    File URL: https://doi.org/10.21307/stattrans-2015-032
    Download Restriction: no
    File URL: https://libkey.io/10.21307/stattrans-2015-032?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Ray Chambers & Nikos Tzavidis, 2006. "M-quantile models for small area estimation," Biometrika, Biometrika Trust, vol. 93(2), pages 255-268, June.
    2. Huggett, Mark, 1996. "Wealth distribution in life-cycle economies," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 469-494, December.
    3. Forough Karlberg, 2000. "Population total prediction under a lognormal superpopulation model," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 53-80.
    4. Mincer, Jacob, 1970. "The Distribution of Labor Incomes: A Survey with Special Reference to the Human Capital Approach," Journal of Economic Literature, American Economic Association, vol. 8(1), pages 1-26, March.
    5. Eric V. Slud & Tapabrata Maiti, 2006. "Mean‐squared error estimation in transformed Fay–Herriot models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 68(2), pages 239-257, April.
    6. Wang, Junyuan & Fuller, Wayne A., 2003. "The Mean Squared Error of Small Area Predictors Constructed With Estimated Area Variances," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 716-723, January.
    7. Jiang, Jiming & Lahiri, P., 2006. "Estimation of Finite Population Domain Means: A Model-Assisted Empirical Best Prediction Approach," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 301-311, March.
    8. Molina, Isabel, 2009. "Uncertainty under a multivariate nested-error regression model with logarithmic transformation," Journal of Multivariate Analysis, Elsevier, vol. 100(5), pages 963-980, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Forough Karlberg, 2015. "Small Area Estimation For Skewed Data In The Presence Of Zeroes," Statistics in Transition New Series, Polish Statistical Association, vol. 16(4), pages 541-562, December.
    2. Forough Karlberg, 2015. "Small area estimation for skewed data in the presence of zeroes," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(4), pages 541-562, December.
    3. Berg, Emily & Chandra, Hukum, 2014. "Small area prediction for a unit-level lognormal model," Computational Statistics & Data Analysis, Elsevier, vol. 78(C), pages 159-175.
    4. J. N. K. Rao, 2015. "Inferential issues in model-based small area estimation: some new developments," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 16(4), pages 491-510, December.
    5. Dian Handayani & Henk Folmer & Anang Kurnia & Khairil Anwar Notodiputro, 2018. "The spatial empirical Bayes predictor of the small area mean for a lognormal variable of interest and spatially correlated random effects," Empirical Economics, Springer, vol. 55(1), pages 147-167, August.
    6. J. N. K. Rao, 2015. "Inferential Issues In Model-Based Small Area Estimation: Some New Developments," Statistics in Transition New Series, Polish Statistical Association, vol. 16(4), pages 491-510, December.
    7. Rao J. N. K., 2015. "Inferential Issues in Model-Based Small Area Estimation: Some New Developments," Statistics in Transition New Series, Statistics Poland, vol. 16(4), pages 491-510, December.
    8. Rong Zhu & Guohua Zou & Hua Liang & Lixing Zhu, 2016. "Penalized Weighted Least Squares to Small Area Estimation," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 43(3), pages 736-756, September.
    9. Jochen Mankart & Rigas Oikonomou, 2017. "Household Search and the Aggregate Labour Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(4), pages 1735-1788.
    10. Juan-Carlos Cordoba, 2004. "Debt-Constraints or Incomplete Markets? A Decomposition of the Wealth and Consumption Inequality in the U.S," Econometric Society 2004 Latin American Meetings 335, Econometric Society.
    11. Richard M. H. Suen, 2014. "Time Preference And The Distributions Of Wealth And Income," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 364-381, January.
    12. Christopher D. Carroll, 2000. "Requiem for the Representative Consumer? Aggregate Implications of Microeconomic Consumption Behavior," American Economic Review, American Economic Association, vol. 90(2), pages 110-115, May.
    13. Greg Kaplan, 2012. "Inequality and the life cycle," Quantitative Economics, Econometric Society, vol. 3(3), pages 471-525, November.
    14. Andreas Fagereng & Luigi Guiso & Davide Malacrino & Luigi Pistaferri, 2020. "Heterogeneity and Persistence in Returns to Wealth," Econometrica, Econometric Society, vol. 88(1), pages 115-170, January.
    15. Röhrs, Sigrid & Winter, Christoph, 2017. "Reducing government debt in the presence of inequality," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 1-20.
    16. Otto-Sobotka, Fabian & Salvati, Nicola & Ranalli, Maria Giovanna & Kneib, Thomas, 2019. "Adaptive semiparametric M-quantile regression," Econometrics and Statistics, Elsevier, vol. 11(C), pages 116-129.
    17. Ni, Xinwen, 2019. "Voting for Health Insurance Policy: the U.S. versus Europe," IRTG 1792 Discussion Papers 2019-012, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    18. Kim, H. Youn, 2017. "The permanent income hypothesis, transitional dynamics, and excess sensitivity of consumption," Structural Change and Economic Dynamics, Elsevier, vol. 40(C), pages 10-25.
    19. Cong Minh Huynh & Nam Hoai Tran, 2023. "Financial development, income inequality, and institutional quality: A multi-dimensional analysis," Cogent Economics & Finance, Taylor & Francis Journals, vol. 11(2), pages 2242128-224, June.
    20. Juan M. Contreras & Sven H. Sinclair, 2008. "The Labor Supply Response in Macroeconomic Models: Working Paper 2008-07," Working Papers 20141, Congressional Budget Office.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:vrs:stintr:v:16:y:2015:i:4:p:541-562:n:10. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://stat.gov.pl/en/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.