Paths and Chains of Random Straight-Line Segments

Johnson, Norman L.

doi:10.1080/00401706.1966.10490349

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1972

2011

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Cited by 8 publications

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“…The properties of the squared MRLρ 2 in terms of moments and distribution have been studied by [1,5,6] primarily for the purpose of statistical testing. From the moments the variance ofρ 2 can be derived quite easily.…”

Section: Introductionmentioning

confidence: 99%

Biased and unbiased estimation of the circular mean resultant length and its variance

Kutil

2011

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The mean resultant length (MRL) is the length of the average of random vectors on the unit circle. It is used to measure the concentration of unimodal circular distributions. The sample MRL, as an estimator for the population MRL, has not been investigated thoroughly yet. This work examines the bias, variance and mean squared error of the MRL. Unbiased or near unbiased estimators are developed wherever possible for the squared and non-squared MRL as well as their variances and mean squared error. All estimators are tested numerically on four representative circular distributions.

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Section: Introductionmentioning

confidence: 99%