Non-gaussian likelihood function
I present here a generalization of the maximum likelihood method and the $\chi^2$ method to the cases in which the data are {\it not} assumed to be Gaussian distributed. The method, based on the multivariate Edgeworth expansion, can find several astrophysical applications. I mention only two of them...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
1998
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/astro-ph/9810198
|
| Verfasserangaben: | Luca Amendola, Osservatorio Astronomico di Roma, Viale del Parco Mellini, 84, Rome 00136 - Italy |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1565543440 | ||
| 003 | DE-627 | ||
| 005 | 20220814025000.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 171121s1998 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1565543440 | ||
| 035 | |a (DE-576)495543446 | ||
| 035 | |a (DE-599)BSZ495543446 | ||
| 035 | |a (OCoLC)1340982354 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Amendola, Luca |d 1963- |e VerfasserIn |0 (DE-588)1029171270 |0 (DE-627)732547482 |0 (DE-576)377045128 |4 aut | |
| 245 | 1 | 0 | |a Non-gaussian likelihood function |c Luca Amendola, Osservatorio Astronomico di Roma, Viale del Parco Mellini, 84, Rome 00136 - Italy |
| 264 | 1 | |c 1998 | |
| 300 | |a 10 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 21.11.2017 | ||
| 520 | |a I present here a generalization of the maximum likelihood method and the $\chi^2$ method to the cases in which the data are {\it not} assumed to be Gaussian distributed. The method, based on the multivariate Edgeworth expansion, can find several astrophysical applications. I mention only two of them. First, in the microwave background analysis, where it cannot be excluded that the initial perturbations are non-Gaussian. Second, in the large scale structure statistics, as we already know that the galaxy distribution deviates from Gaussianity on the scales at which non-linearity is important. As a first interesting result I show here how the confidence regions are modified when non-Gaussianity is taken into account. | ||
| 650 | 4 | |a Astrophysics | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (1996) Artikel-Nummer 9810198, 10 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Non-gaussian likelihood function |
| 773 | 1 | 8 | |g year:1996 |g extent:10 |a Non-gaussian likelihood function |
| 856 | 4 | 0 | |u http://arxiv.org/abs/astro-ph/9810198 |x Verlag |z kostenfrei |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20171121 | ||
| 993 | |a Article | ||
| 998 | |g 1029171270 |a Amendola, Luca |m 1029171270:Amendola, Luca |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1565543440 |e 2987654723 | ||
| BIB | |a Y | ||
| JSO | |a {"origin":[{"dateIssuedKey":"1998","dateIssuedDisp":"1998"}],"recId":"1565543440","name":{"displayForm":["Luca Amendola, Osservatorio Astronomico di Roma, Viale del Parco Mellini, 84, Rome 00136 - Italy"]},"note":["Gesehen am 21.11.2017"],"physDesc":[{"extent":"10 S."}],"type":{"bibl":"chapter","media":"Online-Ressource"},"id":{"eki":["1565543440"]},"title":[{"title_sort":"Non-gaussian likelihood function","title":"Non-gaussian likelihood function"}],"relHost":[{"part":{"year":"1996","extent":"10","text":"(1996) Artikel-Nummer 9810198, 10 Seiten"},"pubHistory":["1991 -"],"type":{"media":"Online-Ressource","bibl":"edited-book"},"id":{"eki":["509006531"],"zdb":["2225896-6"]},"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"recId":"509006531","origin":[{"publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","dateIssuedKey":"1991","publisher":"Cornell University ; Arxiv.org","dateIssuedDisp":"1991-"}],"language":["eng"],"title":[{"title":"Arxiv","title_sort":"Arxiv"}],"physDesc":[{"extent":"Online-Ressource"}],"note":["Gesehen am 28.05.2024"],"disp":"Non-gaussian likelihood functionArxiv"}],"person":[{"role":"aut","display":"Amendola, Luca","given":"Luca","family":"Amendola"}],"language":["eng"]} | ||
| SRT | |a AMENDOLALUNONGAUSSIA1998 | ||