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

Samuel Müller*, Adriana Bastos Conforto, Werner J. Z'Graggen, Alain Kaelin-Lang

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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}.

Original languageEnglish
Pages (from-to)29-41
Number of pages13
JournalMathematical Biosciences
Volume202
Issue number1
DOIs
Publication statusPublished - Jul 2006
Externally publishedYes

Keywords

  • Analysis of count data
  • General binomial distribution
  • Motor unit number estimation

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