File:Gamma series 6.png
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Summary
| Description |
English: Approximations to the median of a gamma distribution, using interpolators between the low-k and high-k coeffcients of 1 and k to multiply 2^{-1/k} by. With this approach the absolute and relative errors both go to zero at low and high k, and with the particular interpolators – logistic sigmoids (dashed) and Gompertz functions (solid) of log k – the absolute (blue) and relative (magenta) errors are everywhere less than 0.00228 for the logistic sigmoid and 0.00184 for the Gompertz function (which has an even better max absolute error). |
| Date | |
| Source | Plotted in Matlab from my code and my math |
| Author | Dicklyon |
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:54, 4 May 2020 | | 2,804 × 1,933 (167 KB) | Dicklyon | re-optimized logistic sigmoid much better (dashed) and added Gompertz function version (solid). Max errors are now < 0.00228 and 0.00184, respectively. |
| 19:38, 3 May 2020 |  | 2,804 × 1,933 (147 KB) | Dicklyon | oops, that wasn't different; here it the improved one. | |
| 19:35, 3 May 2020 |  | 2,804 × 1,933 (147 KB) | Dicklyon | Better params, lower max error. | |
| 17:21, 3 May 2020 |  | 2,804 × 1,933 (147 KB) | Dicklyon | Uploading a self-made file using File Upload Wizard |
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