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Activity Number: 86 - SPEED: Statistics and Econometrics
Type: Contributed
Date/Time: Sunday, July 29, 2018 : 5:05 PM to 5:50 PM
Sponsor: Quality and Productivity Section
Abstract #332817
Title: Sample Size Requirements for Estimating L-Moments
Author(s): Timothy Anderson* and Christine M Schubert and Fairul Mohd-Zaid
Companies: Air Force Institute of Technology and Air Force Institute of Technology and Air Force Research Lab
Keywords: L-Moments; Sample Size; Mean Square error; moments; estimation

Although standard moments (such as the mean, variance, skewness, and kurtosis, etc.) may well characterize data, L-moments are increasing in popularity. Created about 28 years ago by J.R.M. Hosking, L-moments are linear combinations of order statistics and as such are less susceptible to outliers. L-Moments have been shown to uniquely characterize a given distribution and exist even when traditional moments do not. Although L-Moments have nice properties and have enjoyed increased usage across multiple fields, sample size requirements to estimate L-moments have not been established. The purpose of this work is to provide guidance on the appropriate sample size required to estimate the L-moments for several distributions such as Student's T, Normal, Generalized Pareto, Exponential, and Gumbel. Simulation Data will be generated for each of these distributions across a range of sample sizes and the resulting bias and variance compared to determine a reasonable sample size which results in an acceptable minimized MSE. These results may be used as a first step in the planning for studies which seek to estimate and test phenomenon based upon characteristics of the L-moments.

Authors who are presenting talks have a * after their name.

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