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Cowles Foundation Discussion Papers

2002

Efficiency

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Full-Text Articles in Economics

More Efficient Kernel Estimation In Nonparametric Regression With Autocorrelated Errors, Zhijie Xiao, Oliver B. Linton, Raymond J. Carroll, E. Mammen Jun 2002

More Efficient Kernel Estimation In Nonparametric Regression With Autocorrelated Errors, Zhijie Xiao, Oliver B. Linton, Raymond J. Carroll, E. Mammen

Cowles Foundation Discussion Papers

We propose a modification of kernel time series regression estimators that improves efficiency when the innovation process is autocorrelated. The procedure is based on a pre-whitening transformation of the dependent variable that has to be estimated from the data. We establish the asymptotic distribution of our estimator under weak dependence conditions. It is shown that the proposed estimation procedure is more efficient than the conventional kernel method. We also provide simulation evidence to suggest that gains can be achieved in moderate sized samples.


An Optimal Fair Job Assignment Problem, Zaifu Yang Jan 2002

An Optimal Fair Job Assignment Problem, Zaifu Yang

Cowles Foundation Discussion Papers

We study the problem of how to allocate a set of indivisible objects like jobs or houses and an amount of money among a group of people as fairly and as efficiently as possible. A particular constraint for such an allocation is that every person should be assigned with the same number of objects in his or her bundle. The preferences of people depend on the bundle of objects and the quantity of money they take. We propose a solution to this problem, called a perfectly fair allocation. It is shown that every perfectly fair allocation is efficient and envy-free, …