Average Run Length (ARL), Cumulative Sum (CUSUM) Control Chart, erlang-truncated exponential distribution, Sequential Probability Ratio Test (SPRT)
Average Run Length (ARL), Cumulative Sum (CUSUM) Control Chart, erlang-truncated exponential distribution, Sequential Probability Ratio Test (SPRT)
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2013.10.17
2013.09.13
One-Sided Cumulative Sum (CUSUM) Control Charts for the Erlang-Truncated Exponential Distribution
2013.12.10
In this article, we construct one-sided cumulative sum (CUSUM) control charts for controlling the parameters of a random variable with erlang-truncated exponential distribution. The rejection of the Waldâ€™s sequential probability ratio test (SPRT) is viewed as the decision lines of a CUSUM control chart for which the variate is a quality characteristic. Parameters of the CUSUM chart, e.g. lead distance and mask angle, are presented. The results show that the Average Run Length (ARL) of the resulting control charts changes substantially for a slight shift in the parameters of the distribution.
Srinivasa Rao Gadde
2013.12.10