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wjlwyk新蟲 (正式寫手)
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[求助]
請(qǐng)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. |
新蟲 (正式寫手)
| 對(duì)一有限支撐上的連續(xù)總體,我們探究最大次序統(tǒng)計(jì)量標(biāo)準(zhǔn)化序列和最小次序統(tǒng)計(jì)量標(biāo)準(zhǔn)化序列的一致收可積性。作為一個(gè)直接應(yīng)用,我們得到這兩個(gè)極端次序統(tǒng)計(jì)量方差的極限等價(jià)表示。此外,我們證明,極大次序統(tǒng)計(jì)量和極小次序統(tǒng)計(jì)量之間的協(xié)方差可以由兩個(gè)同階無窮小量界定。最后,我們給出了定理在點(diǎn)估計(jì)中的一些應(yīng)用以及一些驗(yàn)證的例子。 |
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新蟲 (正式寫手)
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