File:Gamma distribution median Lyon bounds.png
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![File:Gamma distribution median Lyon bounds.png](https://upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Gamma_distribution_median_Lyon_bounds.png/799px-Gamma_distribution_median_Lyon_bounds.png?20210513212818)
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Gamma distribution median asymptotes (conjectured bounds) and an approximation between them
Summary
[edit]DescriptionGamma distribution median Lyon bounds.png |
English: Two gamma distribution median asymptotes which were proved in 2023 to be bounds (red upper solid and lower dashed) of the from nu(k) ~ 2^(-1/k)(A + k), and an interpolation between them that makes an approximation (red dotted) that is exact at k = 1 and has maximum relative error of about 0.6%. New plot based on formulas from RF Lyon 2021 "On closed-form tight bounds and approximations for the median of a gamma distribution", PLOS ONE. The cyan shaded region is the remaining gap between upper and lower bounds; see File:Gamma distribution median bounds.png for prior published bounds that effect that area. |
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Source | Own work |
Author | Dicklyon |
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current | 21:28, 13 May 2021 | ![]() | 2,333 × 1,750 (186 KB) | Dicklyon (talk | contribs) | Uploaded own work with UploadWizard |
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