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## Verteilungen

### Statistische Datenanalyse (2004-01-01): 7-28 , January 01, 2004

### Zusammenfassung

Als erster Schritt der statistischen Datenanalyse sollten die erhobenen Daten geeignet aufbereitet werden, sodass über eine tabellarische bzw. grafische Darstellung ein vertiefter Einblick in den Informationsgehalt der Daten möglich ist.

## Local Influence Analysis for Mixture of Structural Equation Models

### Journal of Classification (2004-03-01) 21: 111-137 , March 01, 2004

## Introduction

### Monte Carlo Statistical Methods (2004-01-01): 1-33 , January 01, 2004

Until the advent of powerful and accessible computing methods, the experimenter was often confronted with a difficult choice. Either describe an accurate model of a phenomenon, which would usually preclude the computation of explicit answers, or choose a standard model which would allow this computation, but may not be a close representation of a realistic model. This dilemma is present in many branches of statistical applications, for example, in electrical engineering, aeronautics, biology, networks, and astronomy. To use realistic models, the researchers in these disciplines have often developed original approaches for model fitting that are customized for their own problems. (This is particularly true of physicists, the originators of Markov chain Monte Carlo methods.) Traditional methods of analysis, such as the usual numerical analysis techniques, are not well adapted for such settings.

## Learning to Reason About Distribution

### The Challenge of Developing Statistical Literacy, Reasoning and Thinking (2004-01-01): 147-168 , January 01, 2004

## Analysis of mixtures of drugs/chemicals along a fixed-ratio ray without single-chemical data to support an additivity model

### Journal of Agricultural, Biological, and Environmental Statistics (2004-12-01) 9: 500-514 , December 01, 2004

This article presents and illustrates an approach to designing and analyzing studies involving mixtures/combinations of drugs or chemicals along fixed-ratio rays of the drugs or chemicals for generalized linear models. When interest can be restricted to a specific ray, we consider fixed-ratio ray designs to reduce the amount of experimental effort. When a ray design is used, we have shown that the hypothesis of additivity can be rejected when higher order polynomial terms are required in the total dose-response model. Thus, it is important that we have precise parameter estimates for these higher order polynomial terms in the linear predictor. We have developed methodology for finding a *D*_{s}-optimal design based on this subset of the terms in the linear predictor.

## Tail Behavior of a Threshold Autoregressive Stochastic Volatility Model

### Extremes (2004-12-01) 7: 367-375 , December 01, 2004

We consider a threshold autoregressive stochastic volatility model where the driving noises are sequences of iid regularly random variables. We prove that both the right and the left tails of the marginal distribution of the log-volatility process (*α*_{t})_{t} are regularly varying with tail exponent −*α* with *α* > 0. We also determine the exact values of the coefficients in the tail behaviour of the process (*α*_{t})_{t}.

## Front Matter - Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life

### Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life (2004-01-01) , January 01, 2004

## Exact analysis of a paired sibling study

### Computational Statistics (2004-12-01) 19: 525-534 , December 01, 2004

### Summary

A data set on types of congenital heart malformations for sibling pairs of Fraser and Hunter (1975) is analyzed exactly for quasi-independence with Monte Carlo methods. Exact*p*-values are computed for a test of parameter significance and a test of goodness-of-fit which contradict the model of quasiindependence and confirm an earlier analysis of MacGibbon (1983).

## On Parameter Estimation by Contaminated Observations of Ergodic Diffusion Processes

### Parametric and Semiparametric Models with Applications to Reliability, Survival Analysis, and Quality of Life (2004-01-01): 461-472 , January 01, 2004

We consider several problems of parameter estimation by observations of ergodic diffusion processes in the situations when the underlying model depends on an unknown function (under misspecification). We propose some consistent and asymptotically efficient estimators.

## Small area estimation for longitudinal surveys

### Statistical Methods and Applications (2004-12-01) 13: 327-340 , December 01, 2004

### Abstract.

Over the last few years many studies have been carried out in Italy to identify reliable small area labour force indicators. Considering the rotated sample design of the Italian Labour Force Survey, the aim of this work is to derive a small area estimator which “borrows strength” from individual temporal correlation, as well as from related areas. Two small area estimators are derived as extensions of an estimation strategies proposed by Fuller (1990) for partial overlap samples. A simulation study is carried out to evaluate the gain in efficiency provided by our solutions. Results obtained for different levels of autocorrelation between repeated measurements on the same outcome and different population settings show that these estimators are always more reliable than the traditional composite one, and in some circumstances they are extremely advantageous.