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)