Estimating parameters of fluctuations in the cosmic microwave background

Luis Tenorio, Charles H. Lineweaver and Georges Smoot

DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de Estadística

Abstract: We address questions that arise in statistical analyses of recently detected fluctuations in the Cosmic Microwave Background (CMB). Estimators of the quadrupole amplitude, Q, and spectral index, n, of the CMB angular fluctuation power spectrum are considered. Families of unbiased estimators of Q2 and existence conditions for minimum variance estimators of n are given. We find that the common practice of excluding the quadrupole is not recommended if one is interested in unbiased estimators. We explain previousiy reported correlations of the estimators and show how they depend on the multiple used to normalize the spectrum. We show that a finite beam resolution does not justify the use of truncated least-squares to estimate harmonic coefficients of CMB data.

Keywords: Unbiased; estimators; Monte; Carlo; COBE; Data; analysis; Maximum; likelihood (search for similar items in EconPapers)
Date: 1995-09
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Persistent link: https://EconPapers.repec.org/RePEc:cte:wsrepe:4511

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