TY - GEN
T1 - The matter spectral density from lensed cosmic microwave background observations
AU - Anderes, Ethan
AU - Van Engelen, Alexander
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - We use local likelihood estimates of gravitational shear and convergence from lensed cosmic microwave background observations to estimate the projected mass spectral density. Typically there is an additive bias when using a plugin estimate of the spectral density from a noisy estimate of the random field. We explore the possibility of adjusting this bias by subtracting an approximate power spectrum of the noise in the reconstruction using unlensed simulations. We demonstrate some empirical results that suggest the remaining biases complement those seen in the quadratic estimate developed by Hu and Okamoto (ApJ 557:L79- L83, 2001; ApJ 574:566-574, 2002; Phys Rev D 67:083002, 2003). We finish the paper with a discussion regarding the potential scientific applications and the challenges associated with estimating the noise spectrum from simulations.
AB - We use local likelihood estimates of gravitational shear and convergence from lensed cosmic microwave background observations to estimate the projected mass spectral density. Typically there is an additive bias when using a plugin estimate of the spectral density from a noisy estimate of the random field. We explore the possibility of adjusting this bias by subtracting an approximate power spectrum of the noise in the reconstruction using unlensed simulations. We demonstrate some empirical results that suggest the remaining biases complement those seen in the quadratic estimate developed by Hu and Okamoto (ApJ 557:L79- L83, 2001; ApJ 574:566-574, 2002; Phys Rev D 67:083002, 2003). We finish the paper with a discussion regarding the potential scientific applications and the challenges associated with estimating the noise spectrum from simulations.
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U2 - 10.1007/978-1-4614-3520-4_6
DO - 10.1007/978-1-4614-3520-4_6
M3 - Conference contribution
AN - SCOPUS:84896619487
SN - 9781461435198
T3 - Lecture Notes in Statistics
SP - 65
EP - 77
BT - Statistical Challenges in Modern Astronomy V
PB - Springer Science and Business Media, LLC
T2 - 5th Statistical Challenges in Modern Astronomy Symposium, SCMA 2011
Y2 - 13 June 2011 through 15 June 2011
ER -