TY - JOUR

T1 - Estimating the number of motor units using random sums with independently thinned terms

AU - Müller, Samuel

AU - Conforto, Adriana Bastos

AU - Z'Graggen, Werner J.

AU - Kaelin-Lang, Alain

PY - 2006/7

Y1 - 2006/7

N2 - 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 ∈ {300, 600, 1000}.

AB - 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 ∈ {300, 600, 1000}.

KW - Analysis of count data

KW - General binomial distribution

KW - Motor unit number estimation

UR - http://www.scopus.com/inward/record.url?scp=33745865174&partnerID=8YFLogxK

U2 - 10.1016/j.mbs.2006.04.006

DO - 10.1016/j.mbs.2006.04.006

M3 - Article

C2 - 16797602

AN - SCOPUS:33745865174

VL - 202

SP - 29

EP - 41

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 1

ER -