Nonasymptotic risk bounds are provided for maximum likelihood-type isotonic estimators of an unknown nondecreasing regression function, with general average loss at design points. These bounds are optimal up to scale constants, and they imply uniform n−1/3-consistency of the p risk for unknown regression functions of uniformly bounded variation, under mild assumptions on the joint probability d...

Recently a class of alternative theories of gravity which goes under the name f(R) gravity, has received considerable attention, mainly due to its interesting applications in cosmology. However, the phenomenology of such theories is not only relevant to cosmological scales, especially when it is treated within the framework of the so called Palatini variation, an independent variation with resp...

lim n→∞ kf − Sn(f)kL = 0 if and only if lim n→∞ an logn = 0. We weaken the monotone condition in this classical result to the so-called mean value bounded variation (MVBV ) condition. The generalization of the above classical result in real-valued function space is presented as a special case of the main result in this paper which gives the L1-convergence of a function f ∈ L2π in complex space....

have been given previously by B iedenharn and B latt l , and by D elves 2. The variation principle of B iedenharn and Blatt requires trial functions for a complete set of eigenfunctions and is therefore of a rather complicated nature. D elves succeeded in reducing the number of trial functions to two, yjQT(f*) and ipm (r), but his principle determines only the square of the wave function. Moreo...

This paper analyzes the impact of metro station proximity on property value from both theoretical and empirical perspectives. Data on second-hand apartments within six kilometers of metro line 1 and 2 stations in Nanjing are used. Our empirical results show that metro station proximity has a positive partial effect on property value. The degree of impact diminishes with the increase of the dist...

We address the question of which function spaces are invariant under the action of scalar conservation laws in one and several space dimensions. We establish two types of results. The rst result shows that if the initial data is in a rearrangement-invariant function space, then the solution is in the same space for all time. Secondly, we examine which smoothness spaces among the Besov spaces ar...

We study variational methods of bounded variation type for the data analysis. Y. Meyer characterized minimizers of the Rudin-Osher-Fatemi functional in dependence of the G-norm of the data. These results and the follow up work on this topic are generalized to functionals defined on spaces of functions with derivatives of finite bounded variation. In order to derive a characterization of minimiz...

Let AI, be commutative semlslmple Banach algebras and 1 02 A2 be their projective tensor product. We prove that, if 10 2 is a group algebra (measure algebra) of a locally compact abelian group, then so are A 1 and A2. As a consequence, we prove that, if G is a locally compact abelian group and A is a comutatlve semi-simple Banach algebra, then the Banach algebra LI(G,A) of A-valued Bochner inte...

In this paper, we analyse the effect of food price changes on household consumption in Ghana during the 1990s and assess the extent to which changes can be explained by trade and agricultural policy reforms. The measurement of the total household welfare effect, one that jointly considers (static) first order effects as well as (dynamic) consumption responses, is the object of this study. Food ...

We introduce ideas and methods from distribution theory into value theory. This novel approach enables us to construct new diagonal formulas for the Mertens value [4] and the Neyman value [5] on a large space of non-differentiable games. This in turn enables us to give an affirmative answer to the question, first posed by Neyman [5], whether the Mertens value and the Neyman value coincide “modu...