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Statistics in asteroseismology: Eval...

Johnson, Erik Stewart.

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Statistics in asteroseismology: Evaluating confidence in stellar model fits.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Statistics in asteroseismology: Evaluating confidence in stellar model fits./
Author:	Johnson, Erik Stewart.
Description:	96 p.
Notes:	Source: Masters Abstracts International, Volume: 50-02, page: 1085.
Contained By:	Masters Abstracts International50-02.
Subject:	Physics, Astrophysics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1498777
ISBN:	9781124871158

Statistics in asteroseismology: Evaluating confidence in stellar model fits.
Johnson, Erik Stewart.

Statistics in asteroseismology: Evaluating confidence in stellar model fits. - 96 p.

Source: Masters Abstracts International, Volume: 50-02, page: 1085.

Thesis (M.S.)--Iowa State University, 2011.

We evaluate techniques presently used to match slates of stellar evolution models to asteroseismic observations by using numeric simulations of the model fits with randomly generated numbers. Measuring the quality of the fit between a simulated model and the star by a raw chi2 shows how well a reported model fit to a given star compares to a distribution of random model fits to the same star. The distribution of chi2 between "models" and simulated pulsations exhibits the behavior of a log-normal distribution, which suggests a link between the distribution and an analytic solution. Since the shape of the distribution strongly depends on the peculiar distribution of modes within the simulations, there appears to be no universal analytic quality-of-fit criterion, so evaluating seismic model fits must be done on a case--by--case basis.

ISBN: 9781124871158Subjects--Topical Terms:

1671120
Physics, Astrophysics.

Statistics in asteroseismology: Evaluating confidence in stellar model fits.
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005 20141022133319.5
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020 $a 9781124871158
035 $a (MiAaPQ)AAI1498777
035 $a AAI1498777
040 $a MiAaPQ $c MiAaPQ
100 1 $a Johnson, Erik Stewart. $3 2101945
245 1 0 $a Statistics in asteroseismology: Evaluating confidence in stellar model fits.
300 $a 96 p.
500 $a Source: Masters Abstracts International, Volume: 50-02, page: 1085.
500 $a Adviser: Steven D. Kawaler.
502 $a Thesis (M.S.)--Iowa State University, 2011.
520 $a We evaluate techniques presently used to match slates of stellar evolution models to asteroseismic observations by using numeric simulations of the model fits with randomly generated numbers. Measuring the quality of the fit between a simulated model and the star by a raw chi2 shows how well a reported model fit to a given star compares to a distribution of random model fits to the same star. The distribution of chi2 between "models" and simulated pulsations exhibits the behavior of a log-normal distribution, which suggests a link between the distribution and an analytic solution. Since the shape of the distribution strongly depends on the peculiar distribution of modes within the simulations, there appears to be no universal analytic quality-of-fit criterion, so evaluating seismic model fits must be done on a case--by--case basis.
520 $a We also perform numeric simulations to determine the validity of spacings between pulsations by comparing the spacing between the observed modes of a given star to those between 106 sets of random numbers using the Q parameter of the Kolmogorov-Smirnov test. The observed periods in GD 358 and PG 1159--035 outperform these numeric simulations and validate their perceived spacings, while there is little support for spacings in PG 1219+534 or PG 0014+067. The best period spacing in BPM 37098 is marginally significant. The observed frequencies of eta Bootis outstrip random sets with an equal number of modes, but the modes are selectively chosen by the investigators from over 70 detected periodicities. When choosing the random data from sets of 70 values, the observed modes' spacings are reproducible by at least 2% of the random sets. Comparing asteroseismic data to random numbers statistically gauge the prominence of any possible spacing which removes another element of bias from asteroseismic analysis.
590 $a School code: 0097.
650 4 $a Physics, Astrophysics. $3 1671120
650 4 $a Physics, Astronomy and Astrophysics. $3 1019521
690 $a 0596
690 $a 0606
710 2 $a Iowa State University. $b Physics and Astronomy. $3 1669197
773 0 $t Masters Abstracts International $g 50-02.
790 $a 0097
791 $a M.S.
792 $a 2011
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1498777