Process capability index for bivariate exponentially distributed quality characteristics and its sampling properties

ABSTRACT

In this paper, a process capability index for two correlated quality characteristics jointly following bivariate exponential distribution has been proposed. The expectation and sampling variance of the estimated index have been derived. Choice of the natural process interval corresponding to a specified coverage probability has been discussed.

KEYWORDS:

• Bivariate exponential distribution
• Process capability index
• Sampling property.

Acknowledgments

We are grateful to the editor and the referee for their valuable comments and suggestions which led to substantial improvement in the contents.