2015•RePEc: Research Papers in EconomicsRequires access

Parametric and Semiparametric IV Estimation of Network Models with Selectivity

Tiziano Arduini, Eleonora Patacchini, Edoardo Rainone

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Abstract

We propose parametric and semiparametric IV estimators for spatial autoregressive models with network \ndata where the network structure is endogenous. We embed a dyadic network formation process in the \ncontrol function approach as in Heckman and Robb (1985). In the semiparametric case, we use power \nseries to approximate the correction terms. We establish the consistency and asymptotic normality for \nboth parametric and semiparametric cases. We also investigate their finite sample properties via Monte \nCarlo simulation

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What this paper is about

We propose parametric and semiparametric IV estimators for spatial autoregressive models with network \ndata where the network structure is endogenous. We embed a dyadic network formation process in the \ncontrol function approach as in Heckman and Robb (1985). In the semiparametric case, we use power \nseries to approximate the correction terms. We establish the consistency and asymptotic normality for \nboth parametric and semiparametric cases. We also investigate their finite sample properties via Monte \nCarlo simulation

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Available abstract

We propose parametric and semiparametric IV estimators for spatial autoregressive models with network \ndata where the network structure is endogenous. We embed a dyadic network formation process in the \ncontrol function approach as in Heckman and Robb (1985). In the semiparametric case, we use power \nseries to approximate the correction terms. We establish the consistency and asymptotic normality for \nboth parametric and semiparametric cases. We also investigate their finite sample properties via Monte \nCarlo simulation

Key concepts: Estimator, Semiparametric model, Semiparametric regression, Asymptotic distribution, Autoregressive model, Parametric statistics, Consistency (knowledge bases), Nonparametric statistics

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