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EntityQ237193· pop 41· linked from 481 articles

指数分布

Also known as lifetime distribution

probability distribution

In the Vinony graph

Vinony's link graph records 481 inbound references to 指数分布, and connects out to confidence interval, continuous uniform distribution and distribution function.

Vinony links it to 40 Wikipedia language editions.

Parameters: 0,"}}'> λ > 0 , {\displaystyle \lambda >0,} rate, or inverse scale
Support: x ∈ [ 0 , ∞ ) {\displaystyle x\in [0,\infty )}
Pdf: λ e − λ x {\displaystyle \lambda e^{-\lambda x}}
Cdf: 1 − e − λ x {\displaystyle 1-e^{-\lambda x}}
Quantile: − ln ⁡ ( 1 − p ) λ {\displaystyle -{\frac {\ln(1-p)}{\lambda }}}
Mean: 1 λ {\displaystyle {\frac {1}{\lambda }}}
Median: ln ⁡ 2 λ {\displaystyle {\frac {\ln 2}{\lambda }}}
Mode: 0 {\displaystyle 0}
Variance: 1 λ 2 {\displaystyle {\frac {1}{\lambda ^{2}}}}
Skewness: 2 {\displaystyle 2}
Excess kurtosis: 6 {\displaystyle 6}
Entropy: 1 − ln ⁡ λ {\displaystyle 1-\ln \lambda }
Mgf: λ λ − t , for t < λ {\displaystyle {\frac {\lambda }{\lambda -t}},{\text{ for }}t<\lambda }
Cf: λ λ − i t {\displaystyle {\frac {\lambda }{\lambda -it}}}
Fisher information: 1 λ 2 {\displaystyle {\frac {1}{\lambda ^{2}}}}
Kullback leibler divergence: ln ⁡ λ 0 λ + λ λ 0 − 1 {\displaystyle \ln {\frac {\lambda _{0}}{\lambda }}+{\frac {\lambda }{\lambda _{0}}}-1}