Preprint Article Version 1 This version is not peer-reviewed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 (doi: 10.20944/preprints201807.0534.v1). Best, J.; Rayner, J. A Dispersion Test for the Modified Borel-Tanner Distribution. Preprints 2018, 2018070534 (doi: 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.

Subject Areas

covariates; crab data; foetal lamb data; orthonormal polynomials; Poisson distribution

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