Optimal Moments for the Analysis of Peculiar Velocity Surveys | Zendy

Richard Watkins | Zendy; Hume A. Feldman | Zendy; Scott W. Chambers | Zendy; Patrick Gorman | Zendy; Adrian L. Melott | Zendy

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Optimal Moments for the Analysis of Peculiar Velocity Surveys

Author(s) -

Richard Watkins,

Hume A. Feldman,

Scott W. Chambers,

Patrick Gorman,

Adrian L. Melott

Publication year - 2002

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/324280

Subject(s) - scale (ratio) , statistic , context (archaeology) , velocity moments , set (abstract data type) , nonlinear system , mathematics , method of moments (probability theory) , data set , computer science , algorithm , statistics , physics , geology , quantum mechanics , wavefront , zernike polynomials , optics , programming language , paleontology , estimator

We present a new method for the analysis of peculiar velocity surveys whichremoves contributions to velocities from small scale, nonlinear velocity modeswhile retaining information about large scale motions. Our method utilizesKarhunen--Lo\`eve methods of data compression to construct a set of moments outof the velocities which are minimally sensitive to small scale power. The setof moments are then used in a likelihood analysis. We develop criteria for theselection of moments, as well as a statistic to quantify the overallsensitivity of a set of moments to small scale power. Although we discuss ourmethod in the context of peculiar velocity surveys, it may also prove useful inother situations where data filtering is required.Comment: 25 Pages, 3 figures. Submitted to Ap

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