Asymptotic properties of bivariate random extremes

✍ Scribed by H.M. Barakat

• Book ID: 104340320
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 601 KB
• Volume: 61
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(96)00157-7

✦ Synopsis

The class of limit distribution functions (d.f.s) of bivariate extremes order statistics with random sample size, which is independent of all basic random variables (r.v.s), is fully characterizecl. Necessary and sufficient conditions, as well as, the domains of attraction of the limit d.f.s are obtained. Furthermore, when the interrelation of the random size and the basic r.v.s is not restricted, sufficient conditions of the convergence and the forms of the limit d.f.s are deduced.