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《Chinese Journal of Applied Probability and Statistics》 2018-01
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Construction of Fixed-Width Confidence Intervals for Zero-Inflated Poisson Distributions Parameters

LI ErQian;TIAN MaoZai;Center for Applied Statistics, School of Statistics, Renmin University of China;School of Statistics and Information, Xinjiang University of Finance and Economics;School of Statistics, Lanzhou University of Finance and Economics;  
Interval width and coverage probability are two criteria for evaluating confidence intervals.It's quite worthwhile to investigate fixed-width confidence intervals with a prescribed nominal level, which,in generally speaking, is hardly realized in fixed-sample-size circumstances. A common way to deal with this problem is to apply sequential methods and two-stage sampling or even multi-stage sampling. For zeroinflated Poisson distribution with a probability mass p and Poisson mean parameter λ, the construction of fixed-width confidence intervals for(λ,p) is conducted in this paper, including sequential and twostage procedures. Each procedure is demonstrated to satisfy asymptotic consistency and efficiency. The variation of optimal fixed-sample size by the two parameters is considered under different situations and simulation performance is displayed by Monte Carlo simulation. A real data analysis is also implemented for application.
【Fund】: 中央高校建设世界一流大学(学科)和特色发展引导专项资金(批准号:15XNL008)资助
【CateGory Index】: O212.1
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