On Zero-Truncated Negative Binomial with Excess Ones
E. Teju Jolayemi
Department of Statistics, University of Ilorin, Ilorin, Nigeria.
S. A. Aderoju *
Department Mathematics and Statistics, Kwara State University, Malete, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, Zero-truncated negative binomial distribution is modified to include excess ones to improve goodness-of-fit. This is necessary when data are dispersed and zero has been eliminated from data structurally. However, when the ones are unduly large, the proportion of this excess must be recognized and estimated to improve the fit. This development is applied using real data from a national survey.
Keywords: Excess ones, negative binomial, zero-truncated, goodness-of-fit