Abstract Pearn et al. (Kotz and Johnson, Journal of Quality Technology 24: 216–233, 1992) proposed the process capability index C pmk , and investigated the statistical properties of the natural estimator for stable normal processes with constant mean μ . Chen and Hsu (Communications in...

Pearn et al. (Kotz and Johnson, Journal of Quality Technology 24: 216–233, 1992) proposed the process capability index Cpmk , and investigated the statistical properties of the natural estimator for stable normal processes with constant mean μ. Chen and Hsu (Communications in Statistics:...

In this paper, we consider three different notions of positive dependence for a bivariate random vector: (i) total positivity of order 2, (ii) stochastic increasingness, and (iii) positive quadrant dependence. By defining three classes of arrangement-increasing functions, we show that these...