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Everything about Order statistic
Kth smallest value in a statistical sample
In statistics, the kth order statistic of a statistical sample is equal to its kth-smallest value. Given a sample of size, the kth order statistic is denoted, with . Together with rank statistics, order statistics are among the most fundamental tools in non-parametric statistics and inference. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Order statisticA 5-minute orientation
- Skim a recent paper: Collusion Detection in Infrastructure Procurement: A Modified Order Statistic Method for Uncapped AuctionsInfluential work since 2022
- Pick up a classic book: Mathematical nonparametric statisticsThe most-reprinted book on the subject
- Read the landmark paper: Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder TransitionCited 5,617 times
- Go sideways: Cumulative distribution functionA closely related topic
- Go sideways: Probability density functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
L-Moments: Analysis and Estimation of Distributions Using Linear Combinations of Order Statistics
A blind source separation technique using second-order statistics
Statistical Inference Using Extreme Order Statistics
🆕 Influential since 2022
Collusion Detection in Infrastructure Procurement: A Modified Order Statistic Method for Uncapped Auctions
Order-Statistic Based Target Detection with Compressive Measurements in Single-Frequency Multistatic Passive Radar
Robust optimization with order statistic uncertainty set
Classification of Normal and Abnormal Heart Sounds Using Empirical Mode Decomposition and First Order Statistic
Interference-Aware Spectrum Resource Management in Dynamic Environment: Strategic Learning With Higher-Order Statistic Optimization
📚 Books worth reading
Mathematical nonparametric statisticsEdward B. Manoukian · 1986- 📕CRC Handbook of Tables for Order Statistics from Inverse Gaussian Distributions with ApplicationsN. Balakrishnan, William Chen · 2017
- 📕Order statistics and their use in testing and estimationH. Leon Harter · 1969
RecordsBarry C. Arnold · 1998
Order statisticsH. A. David · 1970
Relations, bounds, and approximations for order statisticsBarry C. Arnold · 1989- 📕Order StatisticsHerbert A. David, Haikady N. Nagaraja · 2004
A first course in order statisticsBarry C. Arnold · 1992
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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