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    Birnbaum–Saunders sample selection model

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    BS sample selection model - Repository.pdf
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    Accepted manuscript
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    Type
    Article
    Authors
    Bastos, Fernando de Souza cc
    Barreto-Souza, Wagner cc
    KAUST Department
    Statistics Program, King Abdullah University of Science and Technology, Thuwal, Saudi Arabia
    Date
    2020-06-14
    Submitted Date
    2019-10-01
    Permanent link to this record
    http://hdl.handle.net/10754/664079
    
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    Abstract
    The sample selection bias problem occurs when the outcome of interest is only observed according to some selection rule, where there is a dependence structure between the outcome and the selection rule. In a pioneering work, J. Heckman proposed a sample selection model based on a bivariate normal distribution for dealing with this problem. Due to the non-robustness of the normal distribution, many alternatives have been introduced in the literature by assuming extensions of the normal distribution like the Student-t and skew-normal models. One common limitation of the existent sample selection models is that they require a transformation of the outcome of interest, which is common (Formula presented.) -valued, such as income and wage. With this, data are analyzed on a non-original scale which complicates the interpretation of the parameters. In this paper, we propose a sample selection model based on the bivariate Birnbaum–Saunders distribution, which has the same number of parameters that the classical Heckman model. Further, our associated outcome equation is (Formula presented.) -valued. We discuss estimation by maximum likelihood and present some Monte Carlo simulation studies. An empirical application to the ambulatory expenditures data from the 2001 Medical Expenditure Panel Survey is presented.
    Citation
    Bastos, F. de S., & Barreto-Souza, W. (2020). Birnbaum–Saunders sample selection model. Journal of Applied Statistics, 1–21. doi:10.1080/02664763.2020.1780570
    Sponsors
    We thank the Associate Editor and two anonymous Referees for their important comments and suggestions which lead to an improvement of this paper. This work is part of the Ph.D. thesis by Fernando de Souza Bastos realized at the Department of Statistics from the Universidade Federal de Minas Gerais.
    Publisher
    Informa UK Limited
    Journal
    Journal of Applied Statistics
    DOI
    10.1080/02664763.2020.1780570
    Additional Links
    https://www.tandfonline.com/doi/full/10.1080/02664763.2020.1780570
    ae974a485f413a2113503eed53cd6c53
    10.1080/02664763.2020.1780570
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