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常用分布分位數(shù)的關(guān)系及應(yīng)用

Quartiles of common distributions: relations and applications

  • 摘要: 在可靠性統(tǒng)計(jì)分析中一些有著重要應(yīng)用價(jià)值的結(jié)果含有自由度為1的常用分布的分位數(shù),。為便于應(yīng)用，文章探討了分布t (1),、χ2(1),、F(1,1)和N(0,1)分位數(shù)的關(guān)系及計(jì)算方法；給出了分布N (0,1)分位數(shù)的一個(gè)新的簡(jiǎn)單有效的計(jì)算公式,，給自由度為1的常用分布統(tǒng)計(jì)分析計(jì)算提供了一個(gè)不用借助于查表而可以進(jìn)行初步分析的簡(jiǎn)便方法,。

     

    Abstract: The quartiles of common statistical distributions with one degree of freedom are found important applications in statistical analysis of reliability. This paper discusses the relations and calculations of the quartiles from t(1), χ2(1), F(1,1) and N(0,1) distributions and proposes a simple new formula to calculate quartiles of the standard normal distribution, as a new tool for statistical analysis.

     

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