One of the most difficult problems in applications of semiparametric generalized partially linear single-index model (GPLSIM) is the choice of pilot estimators and complexity parameters which may result in radically different estimators. Pilot estimators are often assumed to be root-n...

We consider a problem of estimation of parametric component in a partial linear model. Suppose that a finite set E of linear estimators is given. Our goal is to mimic the estimator in E that has the smallest risk. Using a second order expansion of the risk of linear estimators we propose a...

In this paper, linear errors-in-response models are considered in the presence of validation data on the responses. A semiparametric dimension reduction technique is employed to define an estimator of Ø with asymptotic normality, the estimated empirical loglikelihoods and the adjusted empirical...

Price variations observed at speculative markets exhibit positive autocorrelation and cross correlation among a set of assets, stock market indices, exchange rates etc. A particular problem in investigating multivariate volatility processes arises from the high dimensionality implied by a...

This paper studies data from the wholesale fruit and vegetables market in Marseille. The special feature of the data is that we have details of counteroffers to the prices that were proposed by the seller even when no transaction took place. Each offer, counteroffer and refusal conveys...

The problem of estimation of the finite dimensional parameter in a partial linear model is considered. We derive upper and lower bounds for the second minimax order risk and show that the second order minimax estimator is a penalized maximum likelihood estimator. It is well known that the...

MM*STAT ist ein flexibel einsetzbares Tool für Einführungskurse in Statistik im Grundstudium. Folgende konzeptionelle Überlegungen waren dabei von besonderer Bedeutung: Erstens muss die Lehrveranstaltung »Statistik« für Studenten jeder Fachrichtung ein breites Spektrum konkreter...