2005Society for Industrial and Applied Mathematics eBooksRequires access

9. Order Statistics and Quantiles

Jenny A. Baglivo

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Abstract

In many statistical applications, interest focuses on estimating the quantiles of a continuous distribution or conducting hypothesis tests about the quantiles. For example, a medical researcher might be interested in determining the median lifetime of patients with a serious illness, or a geophysicist might be interested in determining the 90th percentile of the distribution of earthquake magnitudes in a region.

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What this paper is about

In many statistical applications, interest focuses on estimating the quantiles of a continuous distribution or conducting hypothesis tests about the quantiles. For example, a medical researcher might be interested in determining the median lifetime of patients with a serious illness, or a geophysicist might be interested in determining the 90th percentile of the distribution of earthquake magnitudes in a region.

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Available abstract

In many statistical applications, interest focuses on estimating the quantiles of a continuous distribution or conducting hypothesis tests about the quantiles. For example, a medical researcher might be interested in determining the median lifetime of patients with a serious illness, or a geophysicist might be interested in determining the 90th percentile of the distribution of earthquake magnitudes in a region.

Key concepts: Quantile, Order statistic, Percentile, Statistics, Mathematics, Statistic, Sample (material), Sample size determination

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