Asymptotic properties of bivariate random extremes |
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| Institution: | 1. Department of Electrical and Instrumentation Engineering, Thapar University, Patiala, India;2. Department of Electrical Engineering, Indian Institute of Technology Roorkee, Roorkee, India;3. Department of Radio Diagnosis, Post Graduate Institute of Medical Education and Research, Chandigarh, India;1. Engineering Pathway, Unitec Institute of Technology, New Zealand;2. Construction Pathway, Unitec Institute of Technology, New Zealand;1. Department of Computer Science and Engineering, BRAC University, Dhaka, Bangladesh;2. Department of Computer Science and Engineering, Jahangirnagar University, Dhaka, Bangladesh |
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| Abstract: | 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 characterized. 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. |
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