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Książka Random Fields on the Sphere Domenico Marinucci

Random Fields on the Sphere

Representation, Limit Theorems and Cosmological Applications

Autor: Domenico Marinucci
Język: Angielski
Oprawa: Miękka
Wydawca: Cambridge University Press
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
442.48 zł
Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields....

Informacje o książce

Autor
Domenico Marinucci
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2011
strony
356
EAN
9780521175616
ISBN
0521175615
Enbook ID
04385268
Wydawca
Cambridge University Press
Waga
532
Wymiary
155 x 226 x 18

Pełny opis

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.

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