On Concomitants of Record Values from Generalized Farlie-Gumbel-Morgenstem Distribution  

作　　者：N. A. Mokhlis S. K. khames 

机构地区：[1]Faculty of Science, Ain Shams University,Cairo, Egypt. [2]University Collage for Women, Ain Shams University, Cairo, Egypt.

出　　处：《Journal of Statistical Science and Application》2014年第5期175-192,共18页统计科学与应用（英文版）

摘　　要：In this paper, we derive the distributions of concomitants of record values from generalized Farlie-Gumbel-Morgenstern family of bivariate distributions. We derive the single and the product moments of the concomitants for the general case. The results are then applied to the ease of the two-parameter exponential marginal distributions. Using concomitants of record values we derive the best linear unbiased estimators of parameters of the marginal distributions. Moreover, two methods for obtaining predictors of concomitants of record values are presented. Finally, a numerical illustration is performed to highlight the theoretical results obtained.

关 键 词：Generalized Farlie-Gumbel-Morgenstern family CONCOMITANTS Record values Best linear unbiasedestimator Best linear unbiased predictor. 

分 类 号：C8[社会学—统计学]