2019
DOI: 10.2139/ssrn.3367440
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New Approach to Estimating Gravity Models with Heteroscedasticity and Zero Trade Values

Abstract: This paper proposes new estimation techniques for gravity models with zero trade values and heteroscedasticity. We revisit the standard PPML estimator and we propose an improved version. We also propose various Heckman estimators with different distributions of the residuals, nonlinear forms of both selection and measure equations, and various process of the variance. We add to the existent literature alternative estimation methods taking into account the non-linearity of both the variance and the selection eq… Show more

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Cited by 7 publications
(4 citation statements)
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“…This interpretation may not match the expectations of the altruistic/self‐interest remittances theory of McCracken et al ( 2017 ), which predicts remittances based on income differentials and remittances costs. In addition, as argued in the literature (see, e.g., Mnasri & Nechi, 2019 ), using the log‐linearized model could lead to biased results related to Jensen's inequality, which implies that the expected value of the logarithm of a random variable is not the same as the logarithm of the expected value of the same variable.…”
Section: Data and Empirical Strategymentioning
confidence: 99%
See 1 more Smart Citation
“…This interpretation may not match the expectations of the altruistic/self‐interest remittances theory of McCracken et al ( 2017 ), which predicts remittances based on income differentials and remittances costs. In addition, as argued in the literature (see, e.g., Mnasri & Nechi, 2019 ), using the log‐linearized model could lead to biased results related to Jensen's inequality, which implies that the expected value of the logarithm of a random variable is not the same as the logarithm of the expected value of the same variable.…”
Section: Data and Empirical Strategymentioning
confidence: 99%
“…The PPML estimator also accounts for zero values in bilateral remittances. That is, if we censor the data to keep only positive observations (as were the case in a log‐log gravity specification), we might have a selection bias problem if the chance of having zero bilateral remittances increases when the potential for remitting between two countries is low, as Mnasri and Nechi ( 2019 ) and Head and Mayer ( 2014 ), among others, explained in the case of trade flows. Furthermore, considering the dependent variable in the form log (1 + x ) is also not a good option since there could be a misspecification in the estimated model since it interprets zero bilateral remittances flows as an absence of potential for remitting from one country to another.…”
Section: Data and Empirical Strategymentioning
confidence: 99%
“…They argued that the equation for gravity in its additive structure can potentially be calculated by employing a Poisson Pseudo Maximum Likelihood (PPML) estimation technique, which naturally includes zero observations. The PPML structure is an improved version of the Generalized Nonlinear Linear Model (GNLM) structure that is resilient to multiple types of heteroscedasticity and surpasses the inefficiency problem, providing consistent estimates of the original nonlinear model (Mnasri and Nechi, 2019).…”
Section: Gravity Modelmentioning
confidence: 99%
“…The gravity framework has become so popular that it has been leading the trade flow literature for a long time under concepts of “static” gravity in the past and “dynamic” gravity in recent time (Koo et al 1994; Anderson and Marcouiller, 2002; Rose, 2005; Hattari and Rajon, 2009; Kabir and Salim, 2010; Yu, 2010). This third kind of literature uses an augmented gravity equation with trade-facilitating factors as well as a trade-obstructing factor in the same equation (Srivastava and Green, 1986; Cyrus, 2002; Dixon and Moon, 1993; Marrow and Tabares, 1998; Groot et al , 2004; Linders et al , 2005; Levchenko, 2007; Martin et al 2008; Fratianni, 2009; Gourdon, 2009; Dutt and Traca, 2010; Musila and Sigue, 2010; Horsewood and Voicu, 2012; Zelekha and Sharabi, 2012; Ali and Mdhillat, 2015; Galkin et al 2018; Devadason et al 2018; Mnasri and Nechi, 2019; Wu et al , 2016; Baier et al 2017; Aziz et al 2018; Hasiner and Yu, 2019; Saputra, 2019).…”
Section: Literature Reviewmentioning
confidence: 99%