The Distribution of the Average run Length (ARL) of the Cusum Control Charts for Binomial Parameters when Observation are Poisson Distributed
Ogbeide E. EMichael
Abstract
Ogbeide E. EMichael
Abstract
In this study, the average run lengths (ARL) of the Cumulative Sum (CUSUM) charts for the binomial distribution when the underlying distribution is Poisson were obtained. It is observed that the parameters of the ARL changes considerably for a slight changes in the parameters o the underlying distribution.
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In this study, the average run lengths (ARL) of the Cumulative Sum (CUSUM) charts for the binomial distribution when the underlying distribution is Poisson were obtained. It is observed that the parameters of the ARL changes considerably for a slight changes in the parameters o the underlying distribution.
Key concepts: CUSUM, Poisson distribution, Negative binomial distribution, Statistics, Binomial distribution, Control chart, Mathematics, Binomial (polynomial)