Statistische Analyse ausgewählter Schätzer im kontemporär korrelierten Regressionsmodell mit prädeterminiertem verzögerten Regressor und autokorrelierten Fehlern

Under a weaker assumption of independency apartial analysis of single equations is possiblewithout the specification of a simultaneous equation model. In the extended simple regression model with the weaker independency assumption the OLS-estimator turns out to bequite robust, even in extreme variations, whereas the GLS-estimator shows agreat sensitivity with regard to the modification of the independency. A Monte Carlo study confirms the results concerning the asymptotic bias and indicates a higher variance for the GLS- than for the OLS-estimator. In small samples the standard deviation of the OLS-estimator is smaller than the deviation of a consistent instrumental variables estimator which asymptotic efficiency loss compared to the efficient GLS-estimator in the stochastically independent regression is small as long as the regressor has a high autocorrelation.     

Eonyergenzgeschwindigkeit der verteilung einer parametersehätzung für stationäre gauβsche folgen

This paper deals with speed of convergence to the normal distribution of the distribution of parameter estimates considered by Whittle and Walker for stationary Gaussian random sequences. The result obtained is based on an estimation of the speed of convergence for the distribution of an integrated periodogram.     

Schätzungen in Stochastischen Differenzen-und Differentialgleiehungssystemen 2

Some ways of Studentizing the parametric c-sample tests (c≧2) for location are examined and their asymptotic properties established. A way of Studentizing the c-sample Puni test based on the ranks of the observations is proposed. The resulting test is shown to be asymptotically valid and consistent for a reasonable class of alternatives     

Mixture Models and the Krätzel Integral Transform

Continuous mixture Weibull models arise in many areas of sciences such as reliability studies, communications theory, etc. Due to its wide applicability, we introduce a class of continuous mixture Weibull models which is a combination of Weibull and generalized gamma distributions. Some characteristics of the distribution are obtained. It is seen that Krätzel integral enters into the model naturally, and then the model can be called as a Krätzel density. Applications of the density function related to fading channels and ultrasonic backscatter signals modeling are discussed. A real data analysis is given to illustrate the use of this distribution.     

Zur abschätzung von lösungen linearer integralgleichungen mit hilfe der monte-carlo-methode

Let X₁, X₂, … be i.i.d.r.v. and write (X₁+…X_n?A_n)/B_n?F_n, where B_n >0.A_nER₁, n≥1. It is known that solely one–sided asymptotic assumptions imposed on F_n imply F_n0. In the present note we show that stronger one–sided assumptions lead even to the existence of EX₁ ³ so that the BERRY-ESSEEN inequalities hold true.     

Bewertung von sheätzungen bei einem linearen modell auf der grundlage des fiduzialkonzepts

Usingf fiducial inference the quality of estimations is investigated for a linear model under the conditionj that information about the vector to be estimated is derived from a small sample. By application of that model to the deduction of atmospheric temperature profiles the obtained results are illustrated numerically.