Signal Detection for Process with Unknown Distribution
Control charts are effective tools for monitoring both manufacturing processes and service processes.Much service data comes from a process with variables having non-normal or unknown distributions.The commonly used Shewhart variable control charts which depend heavily on the normality assumption should not be applied here.Hence,an altemative is desired to handle these types of process data.In this paper,we propose a new Variance Chart based on a simple statistic to monitor process variance shifts.The sampling properties of the new monitoring statistic are explored.A numerical example of service times from a bank service system with a right skewed distribution is used to illustrate the proposed Variance Chart.A comparison with two existing charts is also performed.The Variance Chart showed better ability than those two charts in detecting shifts in the process variance.
variance chart process variance binomial distribution skewed distribution average run length
Su-Fen Yang Barry C.Arnold
Department of Statistics,National Chengchi University,Taiwan Department of Statistics,University of California,Riverside
国际会议
西安
英文
1472-1475
2012-06-12（万方平台首次上网日期，不代表论文的发表时间）