Comparison between the two Huang-Kotz FGM types by some information measures in generalized order statistics and their concomitants


H M Barakat, A H Syam




In this paper, we study the concomitants of m−dual generalized order statistics (and consequently m−generalized order statistics) from Huang-Kotz Farlie-Gumble-Morgenstern bivariate distribution (HK-FGM) of the types 1 and 2. Some important information measures are derived and studied for ordinary order statistics and sequential order statistics with a comparison. Specifically, the Shannon entropy, inaccuracy measure, and Fisher information number. Moreover, a comparison between the two types of HK-FGM distribution is carried out.