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Expectation maximization estimates of the offspring probabilities in a class of multitype branching processes with binary family trees

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  • Nina Daskalova

Abstract

When proliferating cells are counted in several independent colonies at some time points, the maximum likelihood estimates of the parameters of the multitype branching process are obtained trough an expectation maximization algorithm. In the case of an offspring distribution governed by a Markov branching process with binary family trees, this method, relying then on a partial knowledge of the tree, yields the same estimates as those computed with the complete knowledge of the tree.

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  • Nina Daskalova, 2017. "Expectation maximization estimates of the offspring probabilities in a class of multitype branching processes with binary family trees," Mathematical Population Studies, Taylor & Francis Journals, vol. 24(4), pages 246-256, October.
    • Handle: RePEc:taf:mpopst:v:24:y:2017:i:4:p:246-256
    DOI: 10.1080/08898480.2017.1348723
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    References listed on IDEAS

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    1. González, M. & Minuesa, C. & del Puerto, I., 2016. "Maximum likelihood estimation and expectation–maximization algorithm for controlled branching processes," Computational Statistics & Data Analysis, Elsevier, vol. 93(C), pages 209-227.
    2. Ollivier Hyrien & Nikolay M. Yanev, 2012. "Asymptotic Behavior of Cell Populations Described by Two-Type Reducible Age-Dependent Branching Processes With Non-Homogeneous Immigration," Mathematical Population Studies, Taylor & Francis Journals, vol. 19(4), pages 164-176, October.
    3. Hautphenne, Sophie & Fackrell, Mark, 2014. "An EM algorithm for the model fitting of Markovian binary trees," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 19-34.
    4. Yakovlev, Andrei Y. & Stoimenova, Vessela K. & Yanev, Nikolay M., 2008. "Branching Processes as Models of Progenitor Cell Populations and Estimation of the Offspring Distributions," Journal of the American Statistical Association, American Statistical Association, vol. 103(484), pages 1357-1366.
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