File:Gamma distribution median loglog bounds.png
Jump to navigation
Jump to search
Size of this preview: 799 × 599 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 2,333 × 1,750 pixels.
Original file (2,333 × 1,750 pixels, file size: 241 KB, MIME type: image/png)
Captions
Captions
Upper and lower bounds to the median of a gamma distribution, and the gaps between them
Summary
[edit]
| Description |
English: Upper (solid) and lower (dashed) bounds to the median of a gamma distribution, and the gaps between them. The green, yellow, and cyan regions represent the gap before the Lyon 2021 paper. The green and yellow narrow that gap with the lower bounds that Lyon proved. The yellow is further narrowed by Lyon's conjectured bounds. Mostly within the yellow, Lyon's closed-form rational-function-interpolated bounds are plotted, along with the actual value of the median (dotted). Lyon's tighter interpolated bounds are not plotted, as they would not be resolved at this scale. |
| Date | |
| Source | Own work |
| Author | Dicklyon |
Licensing
[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:28, 28 May 2021 | | 2,333 × 1,750 (241 KB) | Dicklyon (talk | contribs) | more annotation tweaks |
| 21:54, 28 May 2021 |  | 2,333 × 1,750 (241 KB) | Dicklyon (talk | contribs) | corrected an annotation | |
| 21:11, 28 May 2021 |  | 2,333 × 1,750 (236 KB) | Dicklyon (talk | contribs) | tweaked annotations | |
| 20:57, 28 May 2021 |  | 2,333 × 1,750 (236 KB) | Dicklyon (talk | contribs) | annotated, and cropped tighter to resolve details | |
| 22:17, 25 May 2021 |  | 2,333 × 1,750 (174 KB) | Dicklyon (talk | contribs) | cropped tighter; added closed-form bounds with simplest rational-function interpolator | |
| 02:13, 19 May 2021 |  | 2,333 × 1,750 (168 KB) | Dicklyon (talk | contribs) | Uploaded own work with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on en.wikipedia.org
