Article
Version 1
Preserved in Portico This version is not peer-reviewed
A Dispersion Test for the Modified Borel-Tanner Distribution
Version 1
: Received: 25 July 2018 / Approved: 27 July 2018 / Online: 27 July 2018 (05:20:44 CEST)
How to cite: Best, J.; Rayner, J. A Dispersion Test for the Modified Borel-Tanner Distribution. Preprints 2018, 2018070534. https://doi.org/10.20944/preprints201807.0534.v1 Best, J.; Rayner, J. A Dispersion Test for the Modified Borel-Tanner Distribution. Preprints 2018, 2018070534. https://doi.org/10.20944/preprints201807.0534.v1
Abstract
Dispersion tests based on the second order component of smooth test statistics are related to Fisher’s Index of Dispersion test, used for testing for the Poisson distribution when there are no covariates present. Such tests have been recommended in [1] to test for the Poisson distribution when covariates are present. The modified Borel-Tanner (MBT) distribution seems suited to data with extra zeroes, a monotonic decline in counts and longer tails. Here we recommend a dispersion test for the MBT distribution for both when covariates are absent and when they are present.
Keywords
covariates; crab data; foetal lamb data; orthonormal polynomials; Poisson distribution
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment