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Design of Cusum Scheme for Monitoring Road Accident Fatalities

Open Journal of Statistics 2012年第2期2卷 213-218页

作者： kayode samuel adekeye Omololu Stephen Aluko Department of Mathematical Sciences Federal University of Technology Akure Nigeria Department of Mathematical Sciences Redeemer’s University Redemption City Nigeria

In recent years, road accident fatalities in Nigeria have continued to be on the increase. Thus, urgent attention is needed to reduce or eliminate road accidents fatalities. To achieve this goal, the cumulative sum (Cusum) control chart scheme was designed for monitoring the road accident fatalities using the recorded occurrence of road accident fatalities in a state in the western part of Nigeria. The designed Cusum detects the period of the years when the highest occurrence of road accident fatalities occurred. These periods were observed to be festive periods such as Christmas, Easter, Eid-el- Kabir, and Eid-el-Moluod. Therefore, the festive periods of the year should be used as benchmark by road managers as periods where more attention or precaution measure should be put in place on the roads to drastically reduce or eliminate high occurrence of road accident fatalities. The designed Cusum control chart can be adapted for other states in the country and also for the larger society for detecting the periods when the rate of death as a result of road accidents was prevalent.

关键词： Cusum Fatalities Monitoring Prevalent Road Accident

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Minimax Multivariate Control Chart Using a Polynomial Function

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Applied Mathematics 2011年第12期2卷 1539-1545页

作者： Johnson Ademola Adewara kayode samuel adekeye Osebekwin Ebenezer Asiribo samuel Babatope Adejuyigbe Distance Learning Institute University of Lagos Department of Mathematical Sciences Redeemer"s University Department of Statistics University of Agriculture

Minimax control chart uses the joint probability distribution of the maximum and minimum standardized sample means to obtain the control limits for monitoring purpose. However, the derivation of the joint probability distribution needed to obtain the minimax control limits is complex. In this paper the multivariate normal distribution is integrated numerically using Simpson’s one third rule to obtain a non-linear polynomial (NLP) function. This NLP function is then substituted and solved numerically using Newton Raphson method to obtain the control limits for the minimax control chart. The approach helps to overcome the problem of obtaining the joint probability distribution needed for estimating the control limits of both the maximum and the minimum statistic for monitoring multivariate process.

关键词： Minimax Non-Linear Polynomial Process Maximum and Minimum

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