Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1ÂN (1&t) vol 0 1ÂN 0 +t vol 0 1ÂN 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl
On the combination of equality and inequality restrictions on regression coefficients
✍ Scribed by H. Toutenburg
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 164 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The paper gives a method for using equality and inequality restrictions simultaneously. This is done by combining the estimator for linear equality restrictions and the minimax linear estimator principle which was developed for inequality restraints.
The result is a ridge‐type estimator, namely a biased so‐to‐speak minimax‐linear estimator (MMLE) which dominates the classical MMLE in the sense of smaller MSE.
📜 SIMILAR VOLUMES
Let ,: (& , ) Ä (0, ) be a given continuous even function and let m be a positive integer. We show that, with some additional restrictions on ,, there exist decreasing sequences x 1 , ..., x m and y 1 , ..., y m&1 of symmetrically located points on (& , ) and corresponding polynomials P and Q of deg
The searing indictment of man-made inequality in all its many forms that Rousseau offers in *Discourse on Inequality* is a must-read for philosophy buffs and supporters of social justice. This artfully composed argument sets forth the core elements of Rousseau's philosophical views, including his un
## Abstract In recent years, a large body of empirical work has focused on measuring and explaining socio‐economic inequalities in health outcomes and health service use. In any effort to address these questions, analysts must confront the issue of how to measure socioeconomic status. In developing
## Abstract This article develops a discrete‐time, risk‐neutral valuation relation (RNVR) for the pricing of contingent claims when preferences in the economy are characterized by decreasing absolute risk aversion and the marginal distribution of the underlying is an inverse coshnormal. The RNVR is