Mathematik, Informatik und Statistik - Open Access LMU - Teil 01/03

Mathematik, Informatik und Statistik - Open Access LMU - Teil 01/03

Episoden

Comparing Different Estimators in a Nonlinear Measurement Error Model
A nonlinear structural errors-in-variables model is investigated, where the response variable has a density belonging to an exponential family and the error-prone covariate follows a Gaussian distribution. Assuming the error variance to be known, we...
The Tail of the Stationary Distribution of a Random Coefficient AR(q) Model
We investigate a stationary random cofficient autoregressive process. Using renewal type arguments tailor-made for such processes we show that the stationary distribution has a power-law tail. When the model is normal, we show that the model is in di...
Application of Survival Analysis Methods to Long Term Care Insurance
With the introduction of compulsory long term care (LTC) insurance in Germany in 1995, a large claims portfolio with a significant proportion of censored observations became available. In first part of this paper we present an analysis of part of thi...
Modelling Data from Inside of Earth: Local Smoothing of Mean and Dispersion Structure in Deep Drill Data
In this paper we analyse data originating from the German Deep Drill Program. We model the amount of 'cataclastic rocks' in a series of measurements taken from deep drill samples ranging from 1000 up to 5000 meters depth. The measurements thereby des...
Risk Management with Extreme Value Theory
In this paper we review certain aspects around the Value-at-Risk, which is nowadays the industry benchmark risk measure. As a small quantile (usually 1%) Value-at-Risk is closely related to extreme value theory. We explain an estimation method based...

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