IDEAS home Printed from https://ideas.repec.org/p/anc/wpaper/339.html
   My bibliography  Save this paper

Interval Regression Models with;Endogenous Explanatory Variables

Author

Listed:
  • Giulia BETTIN

    () (Universit… Politecnica delle Marche, Dipartimento di Scienze Economiche e Sociali)

  • Riccardo LUCCHETTI

    () (Universita' Politecnica delle Marche, Dipartimento di Economia)

Abstract

We consider the estimation of linear models where the dependent variable is observed by intervals and some continuous regressors may be endogenous. Our approach is fully parametric and two estimators are proposed: a two-step estimator and a limited-information maximum-likelihood estimator. The results can be summarised as follows: the two-step estimator may offer some computational advantages over the LIML (Limited Information Maximum Likelihood) estimator, and a Monte Carlo experiment suggests that its relative efficiency is rather satisfactory. The LIML estimator, however, is probably simpler to implement and has the advantage of providing a framework in which several testing procedures are more straightforward to perform. The application of TSLS (Two-Stage Least Squares) to a proxy of the dependent variable built by taking midpoints, on the other hand, leads to inconsistent estimates. An example application is also included, which uses Australian data on migrants' remittances.

Suggested Citation

  • Giulia BETTIN & Riccardo LUCCHETTI, 2010. "Interval Regression Models with;Endogenous Explanatory Variables," Working Papers 339, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  • Handle: RePEc:anc:wpaper:339
    as

    Download full text from publisher

    File URL: http://docs.dises.univpm.it/web/quaderni/pdf/339.pdf
    File Function: First version, 2010
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hoddinott, John, 1994. "A Model of Migration and Remittances Applied to Western Kenya," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 459-476, July.
    2. Gao, Chuanming & Lahiri, Kajal, 2000. "Further consequences of viewing LIML as an iterated Aitken estimator," Journal of Econometrics, Elsevier, vol. 98(2), pages 187-202, October.
    3. Mark B. Stewart, 1983. "On Least Squares Estimation when the Dependent Variable is Grouped," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 737-753.
    4. Hiroyuki Kawakatsu & Ann G. Largey, 2009. "EM algorithms for ordered probit models with endogenous regressors," Econometrics Journal, Royal Economic Society, vol. 12(1), pages 164-186, March.
    5. Joseph V. Terza & Donald S. Kenkel & Tsui-Fang Lin & Shinichi Sakata, 2008. "Care-giver advice as a preventive measure for drinking during pregnancy: zeros, categorical outcome responses, and endogeneity," Health Economics, John Wiley & Sons, Ltd., vol. 17(1), pages 41-54.
    6. Charles F. Manski & Elie Tamer, 2002. "Inference on Regressions with Interval Data on a Regressor or Outcome," Econometrica, Econometric Society, vol. 70(2), pages 519-546, March.
    7. Han Hong & Elie Tamer, 2003. "Inference in Censored Models with Endogenous Regressors," Econometrica, Econometric Society, vol. 71(3), pages 905-932, May.
    8. Lucas, Robert E B & Stark, Oded, 1985. "Motivations to Remit: Evidence from Botswana," Journal of Political Economy, University of Chicago Press, vol. 93(5), pages 901-918, October.
    9. Cox, Donald & Eser, Zekeriya & Jimenez, Emmanuel, 1998. "Motives for private transfers over the life cycle: An analytical framework and evidence for Peru," Journal of Development Economics, Elsevier, vol. 55(1), pages 57-80, February.
    10. Rapoport, Hillel & Docquier, Frederic, 2006. "The Economics of Migrants' Remittances," Handbook on the Economics of Giving, Reciprocity and Altruism, Elsevier.
    11. Agarwal, Reena & Horowitz, Andrew W., 2002. "Are International Remittances Altruism or Insurance? Evidence from Guyana Using Multiple-Migrant Households," World Development, Elsevier, vol. 30(11), pages 2033-2044, November.
    12. Funkhouser, Edward, 1995. "Remittances from International Migration: A Comparison of El Salvador and Nicaragua," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 137-146, February.
    13. Neumann, George & Olitsky, Neal & Robbins, Steve, 2009. "Job congruence, academic achievement, and earnings," Labour Economics, Elsevier, vol. 16(5), pages 503-509, October.
    14. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    15. Chesher, Andrew & Irish, Margaret, 1987. "Residual analysis in the grouped and censored normal linear model," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 33-61.
    16. Catalina Amuedo-Dorantes & Susan Pozo, 2006. "Remittances as insurance: evidence from Mexican immigrants," Journal of Population Economics, Springer;European Society for Population Economics, vol. 19(2), pages 227-254, June.
    17. Bettin, Giulia & Lucchetti, Riccardo & Zazzaro, Alberto, 2009. "Income, consumption and remittances: Evidence from immigrants to Australia," HWWI Research Papers 3-21, Hamburg Institute of International Economics (HWWI).
    18. Brown, Richard P. C., 1997. "Estimating remittance functions for Pacific Island Migrants," World Development, Elsevier, vol. 25(4), pages 613-626, January.
    19. Rivers, Douglas & Vuong, Quang H., 1988. "Limited information estimators and exogeneity tests for simultaneous probit models," Journal of Econometrics, Elsevier, vol. 39(3), pages 347-366, November.
    20. Ken Clark & Stephen Drinkwater, 2007. "An Investigation Of Household Remittance Behaviour: Evidence From The United Kingdom," Manchester School, University of Manchester, vol. 75(6), pages 717-741, December.
    21. Rothenberg, Thomas J, 1971. "Identification in Parametric Models," Econometrica, Econometric Society, vol. 39(3), pages 577-591, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kersting, Erasmus & Kilby, Christopher, 2014. "Aid and democracy redux," European Economic Review, Elsevier, vol. 67(C), pages 125-143.
    2. Massimiliano Bratti & Laura Cavalli, 2014. "Delayed First Birth and New Mothers’ Labor Market Outcomes: Evidence from Biological Fertility Shocks," European Journal of Population, Springer;European Association for Population Studies, vol. 30(1), pages 35-63, February.
    3. Ugo FRATESI, 2010. "The National and International Effects;of Regional Policy Choices: Agglomeration Economies, Peripherality and Territorial Characteristics," Working Papers 344, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    4. Antonio Di Paolo & Aysit Tansel, 2015. "Returns to Foreign Language Skills in a Developing Country: The Case of Turkey," Journal of Development Studies, Taylor & Francis Journals, vol. 51(4), pages 407-421, April.
    5. Alberto Russo, 2014. "A Stochastic Model of Wealth Accumulation with Class Division," Metroeconomica, Wiley Blackwell, vol. 65(1), pages 1-35, February.
    6. Luca RICCETTI, 2010. "Minimum Tracking Error Volatility," Working Papers 340, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    7. Lenzu, Simone & Tedeschi, Gabriele, 2012. "Systemic risk on different interbank network topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4331-4341.
    8. Ruggero Grilli & Gabriele Tedeschi & Mauro Gallegati, 2015. "Markets connectivity and financial contagion," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(2), pages 287-304, October.
    9. Luca RICCETTI, 2011. "A Copula-GARCH Model for Macro Asset Allocation of a Portfolio with Commodities: an Out-of-Sample Analysis," Working Papers 355, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    10. Alessandro STERLACCHINI, 2012. "Patent Oppositions as Competitive Tools: An Analysis of the Major Players in the European Market of White Goods," Working Papers 374, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    11. repec:bla:coecpo:v:35:y:2017:i:2:p:253-268 is not listed on IDEAS
    12. Benjamin Volland, 2013. "Conscientious consumers? Preferences, personality and expenditure in the UK," Papers on Economics and Evolution 2013-05, Philipps University Marburg, Department of Geography.
    13. Eralba CELA & Tineke FOKKEMA & Elena AMBROSETTI, 2012. "Links Between Transnationalism Integration and Duration of Residence: The Case of eastern European Migrants in Italy," Working Papers 386, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    14. Fabio FIORILLO & Agnese SACCHI, 2010. "I Want to Free-ride. An Opportunistic View on Decentralization Versus Centralization Problem," Working Papers 346, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    15. Elena AMBROSETTI & Eralba CELA & Tineke FOKKEMA, 2011. "The Remittances Behaviour of the Second Generation in Europe: Altruism or Self-Interest?," Working Papers 368, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    16. Bilanakosa, Christos & Heywood, John S. & Sessions, John & Theodoropoulos, Nikolaos, 2017. "Worker Training and Quality Competition," GLO Discussion Paper Series 137, Global Labor Organization (GLO).

    More about this item

    Keywords

    Instrumental variables; Interval models; Migration; Remittances;

    JEL classification:

    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • F22 - International Economics - - International Factor Movements and International Business - - - International Migration
    • F24 - International Economics - - International Factor Movements and International Business - - - Remittances

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:anc:wpaper:339. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maurizio Mariotti). General contact details of provider: http://edirc.repec.org/data/deancit.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.