Langbahn Team – Weltmeisterschaft

File:Gamma distribution median loglog bounds.png

Original file (2,333 × 1,750 pixels, file size: 241 KB, MIME type: image/png)

Summary

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

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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.

Captions

Upper and lower bounds to the median of a gamma distribution, and the gaps between them

Items portrayed in this file

depicts

creator

some value

Wikimedia username: Dicklyon
URL: https://commons.wikimedia.org/wiki/user:Dicklyon
author name string: Dicklyon

copyright status

copyrighted

copyright license

Creative Commons Attribution-ShareAlike 4.0 International

inception

18 May 2021

source of file

original creation by uploader

media type

image/png

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current22:28, 28 May 2021Thumbnail for version as of 22:28, 28 May 20212,333 × 1,750 (241 KB)Dicklyonmore annotation tweaks
21:54, 28 May 2021Thumbnail for version as of 21:54, 28 May 20212,333 × 1,750 (241 KB)Dicklyoncorrected an annotation
21:11, 28 May 2021Thumbnail for version as of 21:11, 28 May 20212,333 × 1,750 (236 KB)Dicklyontweaked annotations
20:57, 28 May 2021Thumbnail for version as of 20:57, 28 May 20212,333 × 1,750 (236 KB)Dicklyonannotated, and cropped tighter to resolve details
22:17, 25 May 2021Thumbnail for version as of 22:17, 25 May 20212,333 × 1,750 (174 KB)Dicklyoncropped tighter; added closed-form bounds with simplest rational-function interpolator
02:13, 19 May 2021Thumbnail for version as of 02:13, 19 May 20212,333 × 1,750 (168 KB)DicklyonUploaded own work with UploadWizard

The following 3 pages use this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Quelle: http://en.wikipedia.org/wiki/File:Gamma_distribution_median_loglog_bounds.png