Abstract
This paper considers the problem of hypotheses testing of the mean of a Poisson distribution. Accordingly we consider the following test statistics: Wald, WCC, Score (S), FT, VS, RVS, Exact and Bayes test statistics. A simulation study based on both one and two sided alternatives has been conducted to compare the performances of the test statistics. The study suggests that for a large sample size, all proposed test statistics except VCC and FT perform well in the sense of correct type I error rate of the test and power. However, for a small sample size, Score and VS have better type I error rate and power properties than the other test statistics.
Recommended Citation
Golam Kibria, B. M. and George, Florence
(2011).
Empirical Comparison of Some Test Statistics for Testing the Mean of a Poisson Distribution,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 6,
Iss.
1, Article 6.
Available at:
https://digitalcommons.pvamu.edu/aam/vol6/iss1/6