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A Test for the Mean in the Zero-Inflated Poisson Distribution

Nik Ahmad Kamal, and Pooi, Ah Hin, (2007) A Test for the Mean in the Zero-Inflated Poisson Distribution. Malaysian Journal of Science, 26 (2). pp. 127-133. ISSN 13943065

Full text not available from this repository.

Official URL: http://www.ejum.fsktm.um.edu.my/

Affiliations

University of Malaya. Faculty of Science. Inst. of Mathematical Sciences.

Abstract

In analyzing Poisson-count data, sometimes a lot of zeros are observed. When there are too many zeros, a zero-inflated Poisson distribution can be a more suitable model to use. A test for the mean $\theta$ in the imperfect state can be obtained by using the conditional maximum likelihood estimator $\tilde{\theta}$ of $\theta$ and the asymptotic variance of $\tilde{\theta}$. For moderately small sample size, the probability of the rejection region under the null hypothesis is found to have only a small variation around the targeted value as the value of the nuisance parameter varies.

Item Type:Journal
Keywords:Zero-inflated Poisson distribution, conditional likelihood function, asymptotic variance, reject region
Subjects:Q Science, Computer Science
ID Code:2433

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