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Data Analysis in Cosmology pp 433–456Cite as

Power Spectrum Estiamtion II. Linear Maximum Likelihood

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Part of the book series: Lecture Notes in Physics ((LNP,volume 665))

Abstract

This second chapter of two companion chapters on the estimation of power spectra specializes in the topic of estimating galaxy power spectra at large, linear scales using maximum likelihood methods. As in the first chapter, the aims are pedagogical, and the emphasis is on concepts rather than technical detail. The chapter covers most of the salient issues, including selection functions, likelihood functions, Karhunen–Loève compression, pair-integral bias, Local Group flow, angular or radial systematics (arising for example from extinction), redshift distortions, quadratic compression, decorrelation, and disentanglement. The procedures are illustrated with results from the IRAS PSCz survey. Most of the PSCz graphics included in this chapter have not been published elsewhere.

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  1. JILA and Dept, Astrophysical & Planetary Sciences, 440, U. Colorado, Boulder, CO 80309, USA

    A.J.S. Hamilton

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    Hamilton, A. (2008). Power Spectrum Estiamtion II. Linear Maximum Likelihood. In: Martinez, V., Saar, E., Gonzales, E., Pons-Borderia, M. (eds) Data Analysis in Cosmology. Lecture Notes in Physics, vol 665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44767-2_13

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    • DOI: https://doi.org/10.1007/978-3-540-44767-2_13

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    • Print ISBN: 978-3-540-23972-7

    • Online ISBN: 978-3-540-44767-2

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