representation, limit theorems and cosmological applications /
نام نخستين پديدآور
Domenico Marinucci, Giovanni Peccati
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York :
نام ناشر، پخش کننده و غيره
Cambridge University Press,
تاریخ نشرو بخش و غیره
2011
مشخصات ظاهری
نام خاص و کميت اثر
ix, 341 p. :
ساير جزييات
ill. ;
ابعاد
23 cm
فروست
عنوان فروست
London Mathematical Society lecture note series ;
مشخصه جلد
389
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (p. [326]-337) and index
یادداشتهای مربوط به مندرجات
متن يادداشت
Machine generated contents note: Preface; 1. Introduction; 2. Background results in representation theory; 3. Representations of SO(3) and harmonic analysis on S2; 4. Background results in probability and graphical methods; 5. Spectral representations; 6. Characterizations of isotropy; 7. Limit theorems for Gaussian subordinated random fields; 8. Asymptotics for the sample power spectrum; 9. Asymptotics for sample bispectra; 10. Spherical needlets and their asymptotic properties; 11. Needlets estimation of power spectrum and bispectrum; 12. Spin random fields; Appendix; Bibliography; Index
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
"Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments and cumulants for the analysis of Gaussian subordinated fields are reviewed. This background material is used to analyse spectral representations of isotropic spherical random fields and then to investigate in depth the properties of associated harmonic coefficients. Properties and statistical estimation of angular power spectra and polyspectra are addressed in full. The authors are strongly motivated by cosmological applications, especially the analysis of cosmic microwave background (CMB) radiation data, which has initiated a challenging new field of mathematical and statistical research. Ideal for mathematicians and statisticians interested in applications to cosmology, it will also interest cosmologists and mathematicians working in group representations, stochastic calculus and spherical wavelets"--
متن يادداشت
"The purpose of this monograph is to discuss recent developments in the analysis of isotropic spherical random fields, with a view towards applications in Cosmology.We shall be concerned in particular with the interplay among three leading themes, namely: - the connection between isotropy, representation of compact groups and spectral analysis for random fields, including the characterization of polyspectra and their statistical estimation - the interplay between Gaussianity, Gaussian subordination, nonlinear statistics, and recent developments in the methods of moments and diagram formulae to establish weak convergence results - the various facets of high-resolution asymptotics, including the high-frequency behaviour of Gaussian subordinated random fields and asymptotic statistics in the high-frequency sense"--
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Compact groups
موضوع مستند نشده
Cosmology-- Statistical methods
موضوع مستند نشده
Harmonic analysis
موضوع مستند نشده
Limit theorems (Probability theory)
موضوع مستند نشده
Random fields
موضوع مستند نشده
Spherical harmonics
رده بندی کنگره
شماره رده
QA406
نشانه اثر
.
M37
2011
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )