Estimating the number of motor units using random sums with independently thinned terms

Müller, Samuel; Conforto, Adriana Bastos; Z'graggen, Werner J; Kaelin-Lang, Alain (2006). Estimating the number of motor units using random sums with independently thinned terms. Mathematical biosciences, 202(1), pp. 29-41. New York, N.Y.: Elsevier 10.1016/j.mbs.2006.04.006

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The problem of estimating the numbers of motor units N in a muscle is embedded in a general stochastic model using the notion of thinning from point process theory. In the paper a new moment type estimator for the numbers of motor units in a muscle is denned, which is derived using random sums with independently thinned terms. Asymptotic normality of the estimator is shown and its practical value is demonstrated with bootstrap and approximative confidence intervals for a data set from a 31-year-old healthy right-handed, female volunteer. Moreover simulation results are presented and Monte-Carlo based quantiles, means, and variances are calculated for N in{300,600,1000}.

Item Type:

Journal Article (Original Article)

Division/Institute:

04 Faculty of Medicine > Department of Head Organs and Neurology (DKNS) > Clinic of Neurology

UniBE Contributor:

Z'Graggen, Werner Josef, Kaelin, Alain

ISSN:

0025-5564

ISBN:

16797602

Publisher:

Elsevier

Language:

English

Submitter:

Factscience Import

Date Deposited:

04 Oct 2013 14:46

Last Modified:

05 Dec 2022 14:14

Publisher DOI:

10.1016/j.mbs.2006.04.006

PubMed ID:

16797602

Web of Science ID:

000239650100002

URI:

https://boris.unibe.ch/id/eprint/19108 (FactScience: 1479)

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