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wjlwyk新蟲 (正式寫手)
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[求助]
請高手幫忙潤色摘要
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For a population with a continuous density function over its bounded support, we explore the uniform integrability of both the sequence of normalized maximum statistics and the sequence of normalized minimum statistics. As a direct application, we obtain limit equivalent expressions for variances of the two extreme order statistics. Moreover, we prove that the covariance between the minimum and the maximum order statistics can be bounded by two expressions which are of the same order of infinitesimal. Finally, some applications of our theorems are provided in point estimations with some verifying simulation examples. |
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新蟲 (正式寫手)
新蟲 (正式寫手)
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