Oracle Inequalities for Convex Loss Functions with Non-Linear Targets

This paper consider penalized empirical loss minimization of convex loss functions with unknown non-linear target functions. Using the elastic net penalty we establish a finite sample oracle inequality which bounds the loss of our estimator from above with high probability. If the unknown target is linear this inequality also provides an upper bound of the estimation error of the estimated parameter vector. These are new results and they generalize the econometrics and statistics literature. Next, we use the non-asymptotic results to show that the excess loss of our estimator is asymptotically of the same order as that of the oracle. If the target is linear we give sufficient conditions for consistency of the estimated parameter vector. Next, we briefly discuss how a thresholded version of our estimator can be used to perform consistent variable selection. We give two examples of loss functions covered by our framework and show how penalized nonparametric series estimation is contained as a special case and provide a finite sample upper bound on the mean square error of the elastic net series estimator.Comment: 44 page

Debt, Trade, and Payments Issues of Developing Countries and U.S.-Mexican Economic Interdependencies

Debt problems of developing countries seriously constrain their economic and social development as well as the prospects and pace of economic recovery in the developed countries. Debt and trade problems of Mexico are particularly important for the U.S. agricultural economy because of the size and importance of U.S.-Mexican agricultural trade. The importance of Mexico as a U.S. trading partner lends importance to research on Mexican supply, demand, and trade of agricultural commodities and on macroeconomic and monetary policies affecting Mexico's demand and capacity to import. The ninth meeting of the Consortium on Trade Research focused on the debt, trade, and payments problems of developing countries and on U.S.-Mexican economic relationships.Debt, trade, Mexico, United States, agricultural policy, research., International Relations/Trade,

Power in High-Dimensional Testing Problems

Fan et al. (2015) recently introduced a remarkable method for increasing asymptotic power of tests in high-dimensional testing problems. If applicable to a given test, their power enhancement principle leads to an improved test that has the same asymptotic size, uniformly non-inferior asymptotic power, and is consistent against a strictly broader range of alternatives than the initially given test. We study under which conditions this method can be applied and show the following: In asymptotic regimes where the dimensionality of the parameter space is fixed as sample size increases, there often exist tests that can not be further improved with the power enhancement principle. However, when the dimensionality of the parameter space increases sufficiently slowly with sample size and a marginal local asymptotic normality (LAN) condition is satisfied, every test with asymptotic size smaller than one can be improved with the power enhancement principle. While the marginal LAN condition alone does not allow one to extend the latter statement to all rates at which the dimensionality increases with sample size, we give sufficient conditions under which this is the case.Comment: 27 page

THE ACCURACY OF REGRESSION PROGRAMS: UNIVERSITY OF MINNESOTA

Research Methods/ Statistical Methods,

TRADE IMPACTS OF VOLUNTARY QUALITY STANDARDS FOR LIVESTOCK PRODUCTS

This paper was presented at the INTERNATIONAL TRADE IN LIVESTOCK PRODUCTS SYMPOSIUM in Auckland, New Zealand, January 18-19, 2001. The Symposium was sponsored by: the International Agricultural Trade Research Consortium, the Venture Trust, Massey University, New Zealand, and the Centre for Applied Economics and Policy Studies, Massey University. Dietary changes, especially in developing countries, are driving a massive increase in demand for livestock products. The objective of this symposium was to examine the consequences of this phenomenon, which some have even called a "revolution." How are dietary patterns changing, and can increased demands for livestock products be satisfied from domestic resources? If so, at what cost? What will be the flow-on impacts, for example, in terms of increased demands for feedgrains and the pressures for change within marketing systems? A supply-side response has been the continued development of large-scale, urban-based industrial livestock production systems that in many cases give rise to environmental concerns. If additional imports seem required, where will they originate and what about food security in the importing regions? How might market access conditions be re-negotiated to make increased imports achievable? Other important issues discussed involved food safety, animal health and welfare and the adoption of biotechnology, and their interactions with the negotiation of reforms to domestic and trade policies. Individual papers from this conference are available on AgEcon Search. If you would like to see the complete agenda and set of papers from this conference, please visit the IATRC Symposium web page at: http://www1.umn.edu/iatrc.intro.htmInternational Relations/Trade,

THE PRODUCTIVITY AND ALLOCATION OF RESEARCH: U.S. AGRICULTURAL EXPERIMENT STATIONS

The main purpose of this paper is to present estimates of the marginal products and rates of return to the four major categories of agricultural research conducted by U.S. agricultural experiment stations (cash grains, poultry, dairy, and livestock).Productivity Analysis, Research and Development/Tech Change/Emerging Technologies,