Cumulative Probability Distribution
GPTKB entity
Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Statistical concept
|
| gptkbp:abbreviation |
CDF
|
| gptkbp:alsoKnownAs |
gptkb:Cumulative_Distribution_Function
|
| gptkbp:appliesTo |
Continuous random variables
Discrete random variables |
| gptkbp:citation |
gptkb:A._Papoulis,_Probability,_Random_Variables,_and_Stochastic_Processes
gptkb:W._Feller,_An_Introduction_to_Probability_Theory_and_Its_Applications |
| gptkbp:describes |
Probability that a random variable takes a value less than or equal to a given value
|
| gptkbp:designer |
Quantile function
|
| gptkbp:domain |
gptkb:Probability_theory
Statistics |
| gptkbp:example |
Binomial distribution CDF
Exponential distribution CDF Normal distribution CDF Uniform distribution CDF |
| gptkbp:form |
F(x) = P(X ≤ x)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cumulative Probability Distribution
|
| gptkbp:input |
Random variable
|
| gptkbp:output |
Probability
|
| gptkbp:property |
Limit as x approaches negative infinity is 0
Limit as x approaches positive infinity is 1 Non-decreasing function Right-continuous |
| gptkbp:range |
[0,1]
|
| gptkbp:relatedTo |
Probability Density Function
Probability Mass Function |
| gptkbp:usedIn |
gptkb:Hypothesis_testing
Statistical inference Describing distributions of random variables Quantile calculation |
| gptkbp:visualizes |
Smooth curve (continuous case)
Step function (discrete case) |
| gptkbp:bfsParent |
gptkb:CPD
|
| gptkbp:bfsLayer |
5
|