Principal Points of Symmetric, Strongly Unimodal Distributions
Document Type
Article
Publication Date
7-1994
Abstract
Examples illustrate that splitting a symmetric, unimodal distribution into two groups so as to minimize the sum of the within-group variances does not always occur at the mean. Strong unimodality is shown to be a sufficient condition for the optimal cutpoint to occur at the mean.
Repository Citation
Tarpey, T.
(1994). Principal Points of Symmetric, Strongly Unimodal Distributions. Statistics and Probability Letters, 20 (4), 253-257.
https://corescholar.libraries.wright.edu/math/196
DOI
10.1016/0167-7152(94)90012-4