Estimation of the Boundary of a Variable Observed with A Symmetric Error - Archive ouverte HAL
Article Dans Une Revue Journal of the American Statistical Association Année : 2020

Estimation of the Boundary of a Variable Observed with A Symmetric Error

Résumé

Consider the model with , where tau is an unknown constant (the boundary of X), Z is a random variable defined on , epsilon is a symmetric error, and epsilon and Z are independent. Based on an iid sample of Y, we aim at identifying and estimating the boundary tau when the law of epsilon is unknown (apart from symmetry) and in particular its variance is unknown. We propose an estimation procedure based on a minimal distance approach and by making use of Laguerre polynomials. Asymptotic results as well as finite sample simulations are shown. The paper also proposes an extension to stochastic frontier analysis, where the model is conditional to observed variables. The model becomes , where Y is a cost, w(1) are the observed outputs and w(2) represents the observed values of other conditioning variables, so Z is the cost inefficiency. Some simulations illustrate again how the approach works in finite samples, and the proposed procedure is illustrated with data coming from post offices in France.
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Dates et versions

hal-02929524 , version 1 (03-09-2020)

Identifiants

Citer

Jean-Pierre Florens, Léopold Simar, Ingrid van Keilegom. Estimation of the Boundary of a Variable Observed with A Symmetric Error. Journal of the American Statistical Association, 2020, 115 (529), pp.425-451. ⟨10.1080/01621459.2018.1555093⟩. ⟨hal-02929524⟩
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