type I minimum value distribution

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type I minimum value distribution

Summary

Key Facts

type I minimum value distribution is a type of Gumbel distribution^[1].
type I minimum value distribution's different from is recorded as Gumbel distribution^[2].
type I minimum value distribution's different from is recorded as type I maximum value distribution^[3].
type I minimum value distribution's maintained by WikiProject is recorded as WikiProject Mathematics^[4].

Body

Definition and Type

type I minimum value distribution is a type of Gumbel distribution^[1].

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Quick Facts

Subclass of Gumbel distribution

Properties

Cumulative distribution function 1 - \mathrm{e}^{\mathrm{e}^{-\frac{x - a}{b}}}

Defining formula f(x) = \frac{1}{b} \mathrm{e}^{\frac{x - a}{b} - \mathrm{e}^{\frac{x - a}{b}}}

Different from Gumbel distribution, type I maximum value distribution

Excess kurtosis \frac{12}{5}

Imported from wholeness_audit_2026-05-02

In defining formula f(x), a, b

Maintained by wikiproject WikiProject Mathematics

Mean of a probability distribution a - \gamma b

Median of a probability distribution a + b \ln \ln 2

Skewness -\frac{12 \sqrt{6} \zeta(3)}{\pi^3}

Support of a function x \in \mathbb{R}

Variance of a probability distribution \frac{\pi^2}{6} b^2

External References (1)

Mathworld id GumbelDistribution

References

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APA

4ort.xyz Knowledge Graph. (2026). type I minimum value distribution. Retrieved May 7, 2026, from https://4ort.xyz/entity/type-i-minimum-value-distribution

MLA

“type I minimum value distribution.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/type-i-minimum-value-distribution.

BibTeX

@misc{4ortxyz_type-i-minimum-value-distribution_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{type I minimum value distribution}}, year = {2026}, url = {https://4ort.xyz/entity/type-i-minimum-value-distribution}, note = {Accessed: 2026-05-07}}

LLM prompt

According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): type I minimum value distribution — https://4ort.xyz/entity/type-i-minimum-value-distribution (retrieved 2026-05-07)

Canonical URL: https://4ort.xyz/entity/type-i-minimum-value-distribution · Last refreshed: May 7, 2026