On the Estimation of Production Frontiers: Maximum Likelihood Estimation of the Parameters of a Discontinuous Density Function

Aigner, Dennis J.; Poirier, Dale J.

doi:10.2307/2525708

Cited by 188 publications

(90 citation statements)

References 4 publications

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“…Assuming a certain error distribution, it can be shown that LAWS is equivalent to SFA. This relationship can be deduced from Aigner, Amemiya, and Poirier (1976) and Newey and Powell (1987). Both DEA and SFA are used to estimate frontiers of a multiple input-output relation to measure the efficiencies of the individual observations.…”

Section: Econometric Methods For Efficiency Estimationmentioning

confidence: 99%

An analysis of life expectancy and economic production using expectile frontier zones

Schnabel¹,

Eilers²

2009

DemRes

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The wealth of a country is assumed to have a strong non-linear influence on the life expectancy of its inhabitants. We follow up on research by Preston and study the relationship with gross domestic product. Smooth curves for the average but also for upper frontiers are constructed by a combination of least asymmetrically weighted squares and P -splines. Guidelines are given for optimizing the amount of smoothing and the definition of frontiers. The model is applied to a large set of countries in different years. It is also used to estimate life expectancy performance for individual countries and to show how it changed over time.

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Section: Econometric Methods For Efficiency Estimationmentioning

confidence: 99%

An analysis of life expectancy and economic production using expectile frontier zones

Schnabel¹,

Eilers²

2009

DemRes

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“…There are few alternatives to the above specification. Aigner, Amemiya and Poirier (1976) propose an error term which follows two different stochastic processes: one producing only positive disturbances and other producing only negative ones. This model has not been successful because it is hard to motivate and its likelihood equations are very complicated.…”

Section: Distributional Assumptionsmentioning

confidence: 99%

Switching regressions and activity analysis

Ley

1992

Economics Letters

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__________________________________________________________ _We study the use of switching regression models to characterize the coefficients in linear production technologies with a finite number of activities. Maximum likelihood-based methods are proposed and different switching specifications are discussed. The viability of these newly proposed technniques is established. The methods developed combine the advantages of the two major approaches to frontier estimation: the functional flexibility of the linear programing-nonparametric and nonstatistical-approach and the statistical nature of the econometric-both parametric and statistical-approach. This combination comes at the expense of some analytical complexity.

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“…It has been widely applied to finance, demography, and education (see Taylor, 2008;Schnabel and Eilers, 2009a;Sobotka et al, 2013b). Since its advent (Aigner et al, 1976), a variety of expectile regression methods have been proposed. The multiple linear expectile regression was systematically studied in Newey and Powell (1987).…”

Section: Introductionmentioning

confidence: 99%

Aggregated Expectile Regression by Exponential Weighting

Zou

2018

STAT SINICA

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Various estimators have been proposed to estimate conditional expectiles, including those from the multiple linear expectile regression, local polynomial expectile regression, boosted expectile regression, and so on. It is common practice that several plausible candidate estimators are fitted and a final estimator is selected from the candidate list. In this article, we advocate the use of an exponential weighting scheme to adaptively aggregate the candidate estimators into a final estimator. We show oracle inequalities for the aggregated estimator.Simulations and real data examples demonstrate that the aggregated estimator could have substantial gain in accuracy under both the squared and asymmetric squared errors.

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On the Estimation of Production Frontiers: Maximum Likelihood Estimation of the Parameters of a Discontinuous Density Function

Cited by 188 publications

References 4 publications

An analysis of life expectancy and economic production using expectile frontier zones

An analysis of life expectancy and economic production using expectile frontier zones

Switching regressions and activity analysis

Aggregated Expectile Regression by Exponential Weighting

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