Gumbel’s bivariate exponential distribution: estimation of the association parameter using ranked set sampling

Estimating the Dependence Parameter of Farlie–Gumbel– Morgenstern-Type Bivariate Gamma Distribution Using Ranked Set Sampling

“…For researchers who study RSS and its extensions, the result might be a surprise. Similar results, however, were found by Stokes [15] and Sevil and Yildiz [18]. • Table 2 shows that the ML estimators based on GMRSS (R = 1) and GMRSS (R = 3) have smaller biases than the ML estimator based on GMRSS (R = 2).…”

“…Ranked set sampling (RSS) was introduced by McIntyre [14] as a cost-effective sampling method. The estimation of the dependence parameter using RSS and its modifications has been addressed by some authors, such as Stokes [15], Modarres and Zheng [16], Al-Saleh and Samawi [17] and Sevil and Yildiz [18].…”

“…Another rank-based sampling design is called generalized modified RSS (GMRSS), which is defined by Sevil and Yildiz [18]. Only the rth order statistic X (r)j and its concomitants Y [r]j are selected from all sets in the GMRSS procedure.…”