File:Gamma distribution median Lyon bounds.png
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Size of this preview: 800 × 527 pixels. Other resolutions: 320 × 211 pixels | 640 × 422 pixels | 1,024 × 675 pixels | 1,280 × 844 pixels | 2,538 × 1,673 pixels.
Original file (2,538 × 1,673 pixels, file size: 244 KB, MIME type: image/png)
Summary
| Description |
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. |
| Date | |
| Source | Own work |
| Author | Dicklyon |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:12, 5 January 2026 | | 2,538 × 1,673 (244 KB) | wikimediacommons>Dicklyon | Changed shape parameter from k to \alpha in annotations |
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