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
SN - 0025-5564
VL - 202
SP - 29
EP - 41
JO - Mathematical Biosciences
JF - Mathematical Biosciences
IS - 1
ER -