Timeline for Intuition behind the noncentral chi square as Poisson mixing
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 25, 2021 at 13:39 | vote | accept | Gabriel | ||
| Feb 24, 2021 at 16:25 | comment | added | Gabriel | I guess you are right... | |
| Feb 23, 2021 at 0:33 | comment | added | Iosif Pinelis | @Gabriel : Intuition is defined as the "faculty of knowing or understanding something without reasoning or proof" (thefreedictionary.com/intuition). It seems very likely that there has never been such intuition here. As for "all constants lin[ing] up so remarkably", I guess you mean the Poisson mixture. But the Poisson probabilities are just the terms of the normalized Maclaurin series for the exponential function, which are quite ubiquitous. | |
| Feb 22, 2021 at 19:48 | comment | added | Gabriel | Yes, I saw the paper and some others (for instance Kerridge Aust J Stat 7(1965)37-39 ) and there is no intuition behind just series expansion. But I still find weird that all constants line up so remarkably, My idea was to look for an intuition by decomposing somehow chi-square as a sum, the same for Poisson, both have additive properties... | |
| Feb 21, 2021 at 16:12 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |