We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spectrum coefficients associated with Gaussian, spherical and isotropic random fields. In particular, we introduce a Whittle-type approximate maximum likelihood estimator and we investigate its asympotic weak consistency and Gaussianity, in both parametric and semiparametric cases
Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Loève expansions with r...
Assuming the model f(A) GA1- 2H, as A -- 0 +, for the spectral densityo f a covariances tationaryp r...
Following the ideas presented in Dahlhaus (2000) and Dahlhaus and Sahm (2000) for time series, we bu...
We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spe...
We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spe...
We study the asymptotic behaviour of needlets-based approximate maximum likelihood estimators for th...
The authors study isotropic Gaussian random fields on the unit sphere. They investigate the asymptot...
We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian rand...
We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian rand...
Abstract. We analyze the asymptotic behaviour of the tapered discrete Fourier transforms far random ...
International audienceThe angular power spectrum of a stationary random field on the sphere is estim...
We consider a parametric spectral density with power-law behaviour about a fractional pole at the un...
Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Loève expansions with r...
Assuming the model f(A) GA1- 2H, as A -- 0 +, for the spectral densityo f a covariances tationaryp r...
Following the ideas presented in Dahlhaus (2000) and Dahlhaus and Sahm (2000) for time series, we bu...
We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spe...
We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spe...
We study the asymptotic behaviour of needlets-based approximate maximum likelihood estimators for th...
The authors study isotropic Gaussian random fields on the unit sphere. They investigate the asymptot...
We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian rand...
We establish weak convergence of the empirical process on the spherical harmonics of a Gaussian rand...
Abstract. We analyze the asymptotic behaviour of the tapered discrete Fourier transforms far random ...
International audienceThe angular power spectrum of a stationary random field on the sphere is estim...
We consider a parametric spectral density with power-law behaviour about a fractional pole at the un...
Isotropic Gaussian random fields on the sphere are characterized by Karhunen-Loève expansions with r...
Assuming the model f(A) GA1- 2H, as A -- 0 +, for the spectral densityo f a covariances tationaryp r...
Following the ideas presented in Dahlhaus (2000) and Dahlhaus and Sahm (2000) for time series, we bu...