logseries distribution

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:organization
gptkbp:application gptkb:information_theory
ecology
linguistics
gptkbp:field gptkb:probability_theory
statistics
https://www.w3.org/2000/01/rdf-schema#label logseries distribution
gptkbp:introduced gptkb:Ronald_Fisher
gptkbp:introducedIn 1943
gptkbp:meaning -theta / ((1 - theta) * log(1 - theta))
gptkbp:namedAfter logarithm
gptkbp:parameter theta
x (integer variable)
gptkbp:probabilityMassFunction P(X = x) = -theta^x / (x * log(1 - theta)), 0 < theta < 1
gptkbp:relatedTo gptkb:negative_binomial_distribution
gptkb:Poisson_distribution
gptkbp:supports x = 1, 2, 3, ...
gptkbp:usedFor modeling species abundance
gptkbp:variant -theta (theta + log(1 - theta)) / ((1 - theta)^2 * (log(1 - theta))^2)
gptkbp:bfsParent gptkb:Fisher's_logseries
gptkbp:bfsLayer 6