Optimal Moments for the Analysis of Peculiar Velocity Surveys
| Autor: | Richard Watkins, Patrick Gorman, Scott W. Chambers, Adrian L. Melott, Hume A. Feldman |
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| Rok vydání: | 2001 |
| Předmět: |
Physics
Scale (ratio) 010308 nuclear & particles physics Astrophysics (astro-ph) FOS: Physical sciences Astronomy and Astrophysics Context (language use) Astrophysics 01 natural sciences Power (physics) Set (abstract data type) Nonlinear system Space and Planetary Science 0103 physical sciences Peculiar velocity Statistical physics Sensitivity (control systems) 010303 astronomy & astrophysics Statistic |
| DOI: | 10.48550/arxiv.astro-ph/0108325 |
| Popis: | We present a new method for the analysis of peculiar velocity surveys which removes contributions to velocities from small scale, nonlinear velocity modes while retaining information about large scale motions. Our method utilizes Karhunen--Lo\`eve methods of data compression to construct a set of moments out of the velocities which are minimally sensitive to small scale power. The set of moments are then used in a likelihood analysis. We develop criteria for the selection of moments, as well as a statistic to quantify the overall sensitivity of a set of moments to small scale power. Although we discuss our method in the context of peculiar velocity surveys, it may also prove useful in other situations where data filtering is required. Comment: 25 Pages, 3 figures. Submitted to ApJ |
| Databáze: | OpenAIRE |
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