We consider the problem of estimating for a given representer h the value lh(β) of a linear functional of the slope parameter β in functional linear regression, where scalar responses Y1, . . . , Yn are modeled in dependence of random functions X1, . . . , Xn. The proposed estimators of lh(β) are based on dimension reduction and additional thresholding. The minimax optimal rate of convergence o...

cet article s’intéresse aux titres littéraires et aux problèmes de leur traduction.  les stratégies de traduction sont plus nombreuses que ce que l’on croit; mais l’objectif de toute traduction est la restitution du sens. or à travers cette recherche, nous avons tenté de démontrer que la restitution du sens du titre original ne suffit absolument pas. en effet, le travail sur les mots d’un titre...

We build penalized least-squares estimators using the slope heuristic and resampling penalties. We prove oracle inequalities for the selected estimator with leading constant asymptotically equal to 1. We compare the practical performances of these methods in a short simulation study.

The paper considers functional linear regression, where scalar responses Y1, . . . , Yn are modeled in dependence of random functions X1, . . . ,Xn. We propose a smoothing splines estimator for the functional slope parameter based on a slight modification of the usual penalty. Theoretical analysis concentrates on the error in an out-ofsample prediction of the response for a new random function ...

This paper considers estimation of slope coe¢ cients in large panel data models where even after conditioning on common observed e¤ects the cross section units might remain dependently distributed. This could arise when the cross section units are subject to unobserved common e¤ects and/or if there are spill over e¤ects due to spatial or other forms of local dependencies. Initially it focuses o...

ABSTRACT Most of the hydrogen in intergalactic medium (IGM) was rapidly ionized at high redshifts. While observations have established that reionization occurred, observational constraints on high-redshift ionizing emissivity remain elusive. Here, we present a new analysis Low-redshift Lyman Continuum Survey (LzLCS) and literature observations, combined sample 89 star-forming galaxies redshifts...

This paper studies the connections among quantile regression, the asymmetric Laplace distribution, and the maximum entropy. We show that the maximum likelihood problem is equivalent to the solution of a maximum entropy problem where we impose moment constraints given by the joint consideration of the mean and median. Using the resulting score functions we develop a maximum entropy quantile regr...

In this paper, we define two restricted estimators for the regression parameters in a multiple linear regression model with measurement errors when prior information for the parameters is available. We then construct two sets of improved estimators which include the preliminary test estimator, the Stein-type estimator and the positive rule Stein type estimator for both slope and intercept, and ...

This paper studies the connections among quantile regression, the asymmetric Laplace distribution, maximum likelihood and maximum entropy. We show that the maximum likelihood problem is equivalent to the solution of a maximum entropy problem where we impose moment constraints given by the joint consideration of the mean and median. Using the resulting score functions we propose an estimator bas...

The estimation of the slope parameter of two linear regression models with normal errors are considered, when it is apriori suspected that the two lines are parallel. The uncertain prior information about the equality of slopes is presented by a null hypothesis and a coefficient of distrust on the null hypothesis is introduced. The unrestricted estimator (UE) based on the sample responses and s...