Non-gaussian likelihood function

• Verfasst von: Amendola, Luca [VerfasserIn]
• Titel: Non-gaussian likelihood function
• Verf.angabe: Luca Amendola, Osservatorio Astronomico di Roma, Viale del Parco Mellini, 84, Rome 00136 - Italy
• Fussnoten: Gesehen am 21.11.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 1995
• Band/Heft Quelle: (1995) Artikel-Nummer 9504029, 21 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1565544803

Abstract

We generalize the maximum likelihood method to non-Gaussian distribution functions by means of the multivariate Edgeworth expansion. We stress the potential interest of this technique in all those cosmological problems in which the determination of a non-Gaussian signature is relevant, e.g. in the analysis of large scale structure and cosmic microwave background. A first important result is that the asymptotic confidence limits on the parameters are systematically widened when the higher order correlation functions are positive, with respect to the Gaussian case.