Title:

One-Sided Cumulative Sum (CUSUM) Control Charts for the Erlang-Truncated Exponential Distribution

Creator:

Srinivasa Rao Gadde

Tags:

Average Run Length (ARL), Cumulative Sum (CUSUM) Control Chart, erlang-truncated exponential distribution, Sequential Probability Ratio Test (SPRT)

Abstract:

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 Wald’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.

Date created:

2013.09.13

Date accepted:

2013.10.17

Date issued:

2013.12.10

Format:

application/pdf