## 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 language | English |
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Pages (from-to) | 29-41 |

Number of pages | 13 |

Journal | Mathematical Biosciences |

Volume | 202 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 2006 |

Externally published | Yes |

## Keywords

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