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Order statistic

In statistics, the kth order statistic of a statistical sample is equal to its kth-smallest value. Given a sample of size n {\displaystyle n} , the kth order statistic is denoted x ( k ) {\displaystyle x_{(k)}} , with 1 ≤ k ≤ n {\displaystyle 1\leq k\leq n} . Together with rank statistics, order statistics are among the most fundamental tools in…

Overview, Large sample sizes & Examples of order statistics

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Overview

Notation and examples

Probabilistic analysis

A small-sample-size example

Large sample sizes

Mutual Information of Order Statistics

Dealing with discrete variables

Computing order statistics

Examples of order statistics

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Map overview Semantic statistics

Order statistic

Nodes69
Edges68
Triples41
Avg. degree1.97
Density0.028986
Components1

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Order statistic

Top relations

related to External links · 6
Order statistic → Dynamic Order Statistics, Eric, MathWorld, Order, PlanetMath, Retrieved Feb
related to Application: Non-parametric density estimation · 5
Order statistic → Consider, In, Moments, Suppose, The
related to A small-sample-size example · 4
Order statistic → As, However, In, The
related to Computing order statistics · 4
Order statistic → Although, If, In, The
related to Cumulative distribution function of order statistics · 4
Order statistic → Finally, For, In, The
related to Dealing with discrete variables · 4
Order statistic → Pr, Suppose, The, To
see also · 4
Order statistic → Beg, Fisher, RankitBox, Tippett
has application · 3
Order statistic → For, Order, There
related to Mutual Information of Order Statistics · 3
Order statistic → For, In, The
related to Notation and examples · 2
Order statistic → For, If

Important terminology Word statistics

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Important terminology

displaystyle order statistics sample distribution median statistic random probability function density variables ldots leq continuous maximum one size case minimum

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
IQR based bandwidthsinstance ofcan be inferred without the need for specialized modifications0.80text
Order statistichas applicationOrder0.60section
Order statistichas applicationThere0.60section
Order statistichas applicationFor0.60section
Order statisticrelated to A small-sample-size exampleThe0.60section
Order statisticrelated to A small-sample-size exampleAs0.60section
Order statisticrelated to A small-sample-size exampleIn0.60section
Order statisticrelated to A small-sample-size exampleHowever0.60section
Order statisticrelated to Application: confidence intervals for quantilesAn0.60section
Order statisticrelated to Application: Non-parametric density estimationMoments0.60section
Order statisticrelated to Application: Non-parametric density estimationSuppose0.60section
Order statisticrelated to Application: Non-parametric density estimationConsider0.60section

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