Methods have been proposed to linearly combine candidate regression procedures to improve estimation accuraccy. Applications of these methods in many examples are very succeesful, pointing to the great potential of combining procedures. A fundamental question regarding combining procedure is: What is the potential gain and how much one needs to pay for it? A partial answer to this question is o...

Variance function estimation in multivariate nonparametric regression is considered and the minimax rate of convergence is established in the iid Gaussian case. Our work uses the approach that generalizes the one used in [A. Munk, Bissantz, T. Wagner, G. Freitag, On difference based variance estimation in nonparametric regression when the covariate is high dimensional, J. R. Stat. Soc. B 67 (Pa...

In this paper we investigate the long time behaviour of solutions to the system governing a heat-conductive, viscous reactive p’th power gas confined between two parallel plates. For initial-boundary value problems with the end points held at a prescribed temperature or insulated, we prove the global existence of physically relevant solutions and establish their rate of convergence to equilibri...

Article history: Available online 30 July 2011

We consider an isolated system of N immiscible fluids, each following a stiffened-gas equation of state. We consider the problem of calculating equilibrium states from the conserved fluid-mechanical properties, i.e., the partial densities and internal energies. We consider two cases; in each case mechanical equilibrium is assumed, but the fluids may or may not be in thermal equilibrium. For bot...

Convergence rate analysis and error bounds for projection algorithms in convex feasibility problems Amir Beck & Marc Teboulle To cite this article: Amir Beck & Marc Teboulle (2003) Convergence rate analysis and error bounds for projection algorithms in convex feasibility problems, Optimization Methods and Software, 18:4, 377-394, DOI: 10.1080/10556780310001604977 To link to this article: http:/...

This paper attempts to explain the level and dynamics of firm level productivity through a model of convergence, for UK service sector firms over the period 1988 to 1998. Firms of different characteristics have different productivity levels and rates of catch-up. We find strong evidence to relate differences in the rate of convergence to the ownership status of the firm and weak evidence that i...

We investigate the repeated and sequential portfolio St.Petersburg games. For the repeated St.Petersburg game, we show an upper bound on the tail distribution, which implies a strong law for a truncation. Moreover, we consider the problem of limit distribution. For the sequential portfolio St.Petersburg game, we obtain tight asymptotic results for the growth rate of the game.