Title of article :
A likelihood control chart for monitoring bivariate lifetime processes
Author/Authors :
Abbasi Ganji ، Z. Khorasan Razavi Agricultural and Natural research and Education center , Sadeghpour Gildeh ، B. Department of Statistics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad
Abstract :
In this survey, two new control charts 𝐶𝐶𝐿𝑅 and 𝐶𝐶𝐴𝐿𝑅 for bivariate exponential variables by dependence structure based on Farlie Gumbel Morgenstern copula model are introduced. Simulation study is done to make a comparison between two proposed control charts in terms of average run length (𝐴𝑅𝐿). Results show that the 𝐶𝐶𝐴𝐿𝑅 performs better than 𝐶𝐶𝐿𝑅. Anumerical example is provided to fortify the theoretical findings.
Keywords :
Control chart , Bivariate exponential distribution , Farlie , Gumbel , Morgenstern copula , Likelihood ratio test , Average run length
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center