6 papers
A small noise approximation for Muller's Ratchet
Carola Sophia Heinzel, Peter Pfaffelhuber, Anton Wakolbinger
We consider an infinite system of SDEs with Fleming-Viot noise indexed by , whose parameters , and are the (deleterious) selection coefficient, the (uni-…
Typical Healthcare Pathways as a Basis for Admixture Modeling of Patient Trajectories
Maryam Farhadizadeh, Carola S. Heinzel, August Sigle +5
Background: Understanding whether patients follow similar or distinct patterns of care is important for characterizing clinical practice, identifying patient subgroups, and support…
Testing for Single-Population Ancestry in the Admixture Model
Holger Dette, Carola Sophia Heinzel, Zoe Lange +1
The Admixture Model describes genetic marker data by representing each individual's genome as a mixture of contributions from ancestral populations, with the individual admixtu…
A Statistical Test for Comparing the Linkage and Admixture Model Based on Central Limit Theorems
Carola Sophia Heinzel
In the Admixture Model, the probability that an individual carries a certain allele at a specific marker depends on the allele frequencies in ancestral populations and the prop…
Estimating the growth rate of a birth and death process using data from a small sample
Carola Sophia Heinzel, Jason Schweinsberg
The problem of estimating the growth rate of a birth and death processes based on the coalescence times of a sample of individuals has been considered by several authors (\cite…
Consistency and Central Limit Results for the Maximum Likelihood Estimator in the Admixture Model
Carola Sophia Heinzel
In the Admixture Model, the probability of an individual having a certain number of alleles at a specific marker depends on the allele frequencies in ancestral populations and…