Negative Binomial Distribution
GPTKB entity
Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Probability Distribution
|
| gptkbp:alsoKnownAs |
Pascal Distribution
Polya Distribution |
| gptkbp:application |
gptkb:insurance
Ecology Epidemiology Modeling overdispersed count data |
| gptkbp:category |
Discrete Distribution
|
| gptkbp:compatibleWith |
Continuous Distribution
|
| gptkbp:cumulativeDistributionFunction |
Regularized incomplete beta function
|
| gptkbp:describes |
Number of failures before a specified number of successes
|
| gptkbp:firstDescribed |
gptkb:John_Arbuthnot
1710 |
| gptkbp:generalizes |
Geometric Distribution
|
| gptkbp:hasSpecialCase |
Pascal Distribution
|
| https://www.w3.org/2000/01/rdf-schema#label |
Negative Binomial Distribution
|
| gptkbp:meaning |
r(1-p)/p
|
| gptkbp:mode |
floor((r-1)(1-p)/p)
|
| gptkbp:parameter |
p (probability of success)
r (number of successes) |
| gptkbp:PMF |
P(X = k) = C(k+r-1, k) * (1-p)^k * p^r
|
| gptkbp:relatedTo |
Poisson Distribution
Binomial Distribution |
| gptkbp:supports |
k = 0, 1, 2, ...
|
| gptkbp:usedIn |
Statistics
Probability Theory |
| gptkbp:variant |
r(1-p)/p^2
|
| gptkbp:bfsParent |
gptkb:Ehrenberg's_law
|
| gptkbp:bfsLayer |
7
|