Limit theory of bivariate dual generalized order statistics with random index

作者：Abd Elgawad, M. A.^*; Barakat, H. M.; Qin, Hong; Yan, Ting

来源：Statistics, 2017, 51(3): 572-590.

DOI：10.1080/02331888.2016.1265965

• Weak convergence
• sample of random size
• bivariate dual generalized order statistics
• Primary: 62E20
• Secondary: 62E15
• 62G30

The class of limit distribution functions of bivariate extreme, intermediate and central dual generalized order statistics from independent and identically distributed random variables with random sample size is fully characterized. Two cases are considered. The first case is when the random sample size is assumed to be independent of all basic random variables. The second case is when the interrelation of the random size and the basic random variables is not restricted.

• 出版日期2017-6
• 单位华中师范大学