Timeline for Two kinds of generating functions
Current License: CC BY-SA 4.0
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| Aug 7, 2020 at 4:28 | history | edited | Hans-Peter Stricker | CC BY-SA 4.0 |
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| Aug 7, 2020 at 4:26 | comment | added | Hans-Peter Stricker | @MarcusM: You caught me! Devroye only talks about "generators" (of distributions), not literally about "generating functions". In fact a generator is more of an algorithm (a recipe) than of a mathematical function: it takes as input some parameters and gives as output a such-and-such distributed number. Only in my mind I called these generators "generating functions". I adjusted my question accordingly. | |
| Aug 6, 2020 at 20:22 | comment | added | Marcus M | Can you give an example or link a definition of the first kind of "generating function"? | |
| Aug 6, 2020 at 14:01 | comment | added | Henry | Your link seems to point to probability generation functions on the natural numbers. These are related to those described in generatingfunctiology and techniques from the latter help with the former. It is more that being able to manipulate of power series is useful. In practice, moment generating functions and the related characteristic functions are used more often | |
| Aug 6, 2020 at 9:51 | history | asked | Hans-Peter Stricker | CC BY-SA 4.0 |