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توزيع أسي

File:Exponential_distribution_pdf_-_public_domain.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ237193· pop 41· linked from 481 articles

توزيع أسي

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Also known as lifetime distribution

probability distribution

In the Vinony graph

Within Vinony's link graph, توزيع أسي is referenced by 481 other articles, and connects out to confidence interval, continuous uniform distribution and distribution function.

It is catalogued under topics including Conjugate prior distributions, Continuous distributions and Exponential family distributions.

Its subject is documented across 40 Wikipedia language editions.

Key facts

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}

via Wikipedia infobox

Wikidata facts

Image
Exponential distribution cdf - public domain.svg
Show 5 more facts
Commons category
Exponential distribution
has characteristic
memorylessness
on focus list of Wikimedia project
Wikipedia:Vital articles/Level/4
maintained by WikiProject
WikiProject Mathematics
Sources (4)

via Wikidata · CC0

Article · العربية

في نظرية الاحتمالات والإحصاء، التوزيع الأسي توزيع احتمالي مستمر اشتق اسمه من الدالة الأسية. ويستعمل هذا التوزيع في تخمين الفترات الزمنية بين وقوع الأحداث في سيرورة بواسون.

Abstract from DBpedia / Wikipedia · CC BY-SA

Gallery (6)

Connections

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