Convergence of random extremal quotient and product |
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| Institution: | 1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China;2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai, China;3. Institute of Power Plants and Automation, Shanghai Jiao Tong University, China;1. Department of Mathematics, Faculty of Engineering & Technology, Veer Bahadur Singh Purvanchal University, Jaunpur, 222003, India;2. Department of Mathematics, Motihari College of Engineering, Motihari, 845401, Bihar, India |
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| Abstract: | The limit distribution functions are obtained for the extremal quotient, extremal product and the geometric range with random indices under nonrandom centering and normalization. Moreover, this paper considers the conditions under which the cases of random and nonrandom indices give the same asymptotic results. Some illustrative examples are given. |
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