Compound processes as models for clumped parasite data

DOI10.1016/j.mbs.2009.08.007zbMath1176.92035OpenAlexW2018788526WikidataQ33498182 ScholiaQ33498182MaRDI QIDQ1042735

Dominik Heinzmann, Paul R. Torgerson, Andrew David Barbour

Publication date: 7 December 2009

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2009.08.007

zbMATH Keywords

mixed Poissonclumped infectioncompound processesEchinococcusparasite data

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Special processes (60K99) Medical epidemiology (92C60)

Related Items

Subordinated compound Poisson processes of order \(k\)

Cites Work

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• The structure distribution in a mixed Poisson process
• Modeling the overdispersion of parasite loads
• An introduction to the theory of point processes
• On minimum variance unbiased estimation for truncated binomial and negative binomial distributions
• Analysis of a model for macroparasitic infection with variable aggregation and clumped infections
• Decompounding: an estimation problem for Poisson random sums.
• Stochastic host-parasite interaction models
• On estimation of the Poisson parameter in zero-modified Poisson models.
• Stochastic models of populations of helminthic parasites in the definitive host. I
• Asymptotic Properties of Maximum Likelihood Estimators and Likelihood Ratio Tests Under Nonstandard Conditions
• An Extension of a Truncated Poisson Distribution
• Stochastic models of a parasitic infection, exhibiting three basic reproduction ratios