Asteroseismic Data Analysis

2017 ◽  
Author(s):  
Sarbani Basu ◽  
William J. Chaplin
Keyword(s):  
Time Series ◽  
Data Analysis ◽  
Seismic Data ◽  
Stellar Populations ◽  
Instruction Manual ◽  
Kepler Mission ◽  
Cool Stars ◽  
Internal Properties ◽  
Analysis Of Time Series

Studies of stars and stellar populations, and the discovery and characterization of exoplanets, are being revolutionized by new satellite and telescope observations of unprecedented quality and scope. Some of the most significant advances have been in the field of asteroseismology, the study of stars by observation of their oscillations. This book gives a comprehensive technical introduction to this discipline. It not only helps students and researchers learn about asteroseismology; it also serves as an essential instruction manual for those entering the field. The book presents readers with the foundational techniques used in the analysis and interpretation of asteroseismic data on cool stars that show solar-like oscillations. The techniques have been refined, and in some cases developed, to analyze asteroseismic data collected by the NASA Kepler mission. Topics range from the analysis of time-series observations to extract seismic data for stars to the use of those data to determine global and internal properties of the stars. Reading lists and problem sets are provided, and data necessary for the problem sets are available online.

Dynamical Analysis of Time Series by Statistical Tests

1997 ◽  
Vol 07 (12) ◽  
pp. 2629-2652 ◽  
Author(s):  
Gustavo Deco ◽  
Christian Schittenkopf ◽  
Bernd Schürmann
Keyword(s):  
Time Series ◽  
Information Flow ◽  
Statistical Tests ◽  
Statistical Test ◽  
Dynamical Analysis ◽  
Fourier Space ◽  
Statistical Framework ◽  
Temporal Structures ◽  
Analysis Of Time Series

In this review we deal with the application of statistical test techniques for the extraction of structures in time series. Two kinds of questions are answered in this statistical framework: Are there any temporal dependences in the data? and Which kind of dynamics generate these temporal dependences? The first question is known as the problem of predictability and also considers the aspect of stationarity. The second question is deeper in the sense that it deals with the dynamical characterization of the detected temporal structures. Central to our approach is a cumulant-based measure of statistical dependences in Fourier space. The dynamical aspects are studied by means of the information flow. The theory is illustrated by artificial and real-world, stochastic and chaotic examples.

Introduction

Geophysics ◽  
1967 ◽  
Vol 32 (3) ◽  
pp. 415-417
Author(s):  
Sven Treurel ◽  
Enders A. Robinson
Keyword(s):  
Time Series ◽  
Data Analysis ◽  
Research Program ◽  
Seismic Data ◽  
Financial Support ◽  
Massachusetts Institute ◽  
Massachusetts Institute Of Technology ◽  
Analysis Group ◽  
Full Participation ◽  
Institute Of Technology

In 1950, a small research project concerned with the application of the theory of time series to seismic data analysis was formed within the Mathematics Department of the Massachusetts Institute of Technology. This early work was pursued by Dr. E. A. Robinson and by Professor G. P. Wadsworth. The results of these studies were considered promising, and by 1952 a number of oil and geophysical exploration companies had been approached in order to determine their interest in supporting an expanded research program in this area. Eventually a group of these companies agreed to participate in such an effort, and in February 1953 the MIT Geophysical Analysis Group (GAG) was organized within the Department of Geology and Geophysics. Full participation in the activities of the GAG was open at any time to all interested companies. All members provided annual financial support, and a number of them furnished the GAG with data for analysis.

Entropy, Complexity, Predictability, and Data Analysis of Time Series and Letter Sequences

2002 ◽  
pp. 2-25 ◽  
Author(s):  
Werner Ebeling ◽  
Lutz Molgedey ◽  
Jürgen Kurths ◽  
Udo Schwarz
Keyword(s):  
Time Series ◽  
Data Analysis ◽  
Analysis Of Time Series

Preface

Geophysics ◽  
1967 ◽  
Vol 32 (3) ◽  
pp. 414-414
Author(s):  
Daniel Silverman
Keyword(s):  
Time Series ◽  
Small Group ◽  
Statistical Methods ◽  
Seismic Data ◽  
Communication Theory ◽  
Digital Processing ◽  
Communications Industry ◽  
Methods Of Analysis ◽  
Standard Operating ◽  
Analysis Of Time Series

In recent years there has been a great surge of interest in the geophysical industry in the digital processing of seismic data. This activity involves the application of statistical methods of analysis of time series. In a way it is a part of the general subject of communication theory. However, the direction this work has taken is in many respects quite divergent from communication theory as it is used in the communications industry. The divergence is so great, in fact, that if it were not for a small group of workers in this field in the early 1950's, it is doubtful whether we would today be in a position to do what is now rapidly becoming standard operating practice in the geophysical industry.

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