A Simulation Comparison of New Confidence Intervals for the Coefficient of Variation of a Poisson Distribution

This paper proposes four new confidence intervals for the coefficient of variation of a Poissondistribution based on obtaining confidence intervals for the Poisson mean. The following confidence intervalsare considered: confidence intervals for the coefficient of variation of a Poisson distribution based on Wald(W), Wald with continuity correction (WCC), Scores (S) and Variance stabilizing (VS) confidence interval.Using Monte Carlo simulations, the coverage probabilities and lengths of these confidence intervals arecompared. Simulation results have shown that the confidence interval based on WCC has desired closenesscoverage probabilities of 0.95 and 0.90. Additionally, the lengths of newly proposed confidence intervalsare slightly different. Therefore, the confidence interval based on WCC is more suitable than the other threeconfidence intervals in terms of the coverage probability. Key Words: Coefficient of variation; Confidence interval; Coverage probability; Length; Poissondistribution