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Everything about Cumulative distribution function
Probability that random variable X is less than or equal to x
In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable, or just distribution function of, evaluated at, is the probability that will take a value less than or equal to. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Cumulative distribution functionA 5-minute orientation
- Skim a recent paper: ECOD: Unsupervised Outlier Detection Using Empirical Cumulative Distribution FunctionsInfluential work since 2022
- Pick up a classic book: Clinical practice of the dental hygienistThe most-reprinted book on the subject
- Read the landmark paper: Kernel estimation of multivariate cumulative distribution functionCited 48 times
- Go sideways: Joint probability distributionA closely related topic
- Go sideways: Probability density functionA closely related topic
📖 Definitions
Noun A function which at each point t of the sample space has as its value the probability that a given random variable is less than (or equal) t. In symbols, FX(t)=Pr(X≤t).
🏆 Landmark papers (most cited)
Kernel estimation of multivariate cumulative distribution function
Sampling Student's T distribution – use of the inverse cumulative distribution function
Closed-form expressions for Rician shadowed cumulative distribution function
Algorithm AS 243: Cumulative Distribution Function of the Non-Central t Distribution
Minimax Estimation of a Cumulative Distribution Function
Calculation of the Poisson cumulative distribution function (reliability applications)
Cumulative overlap distribution function in realistic spin glasses
Cumulative distribution function of a geometric Poisson distribution
🆕 Influential since 2022
ECOD: Unsupervised Outlier Detection Using Empirical Cumulative Distribution Functions
Harris Hawk Optimization Algorithm Based on Cauchy Distribution Inverse Cumulative Function and Tangent Flight Operator
Quantile cumulative distribution function and its applications
Calibration Estimation of Cumulative Distribution Function Using Robust Measures
Construction of Fuzzy Numbers via Cumulative Distribution Function
📚 Books worth reading
Clinical practice of the dental hygienistEsther M. Wilkins · 1958
Operations ManagementRoberta S. Russell, Bernard Taylor · 1998- 📕Normal approximations with Malliavin calculusIvan Nourdin · 2012
Introduction to Probability and StatisticsJ. Susan Milton, Jesse C. Arnold · 1990
Parallel Programming in C with MPI and OpenMPMichael J. Quinn · 2003
Engineering Modelling and AnalysisDavid Walker, Michael Leonard · 2009
Digital systems testing and testable designMiron Abramovici · 1990
Tables of the non-central t-distributionGeorge J. Resnikoff · 1957
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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