Mode type quasi-range and its applications |
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| Authors: | Lin-An Chen Hsien-Chueh Peter Yang Chau-Shyun Tang |
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| Institution: | 1. Institute of Statistics, National Chiao Tung University , Hsinchu , Taiwan;2. Department of Risk Management and Insurance , National Kaohsiung First University of Science and Technology , Kaohsiung , Taiwan;3. Department of Management Science , National Chiao Tung University , Hsinchu , Taiwan |
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| Abstract: | Building from the consideration of closeness, we propose the mode quasi-range as an alternative scale parameter. Application of this scale parameter to formulate the population standard deviation is investigated leading to an efficient sample estimator of standard deviation from the point of asymptotic variance. Monte Carlo studies, in terms of finite sample efficiency and robustness of breakdown point, have been performed for the sample mode quasi-range. This study reveals that this closeness consideration-based mode, quasi-range, is satisfactory because these statistical procedures based on it are efficient and are less misleading for drawing conclusion from the sample results. |
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| Keywords: | breakdown point range robustness quasi-range scale parameter |
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