This paper studies cyclic long‐memory processes with Gegenbauer‐type spectral densities.
For a semiparametric statistical model, new simultaneous estimates for singularity location …

The paper is concerned with the statistical parametric estimation of a vector spectral
parameter for Lévy-driven continuous-time stationary linear models with tapered data. As an …

The paper is concerned with the construction of goodness-of-fit tests for testing a hypothesis
H 0 H_0 that the hypothetical spectral density of a stationary Gaussian process X (t) X(t) has …

In this paper, we survey some recent results on statistical inference (parametric and
nonparametric statistical estimation, hypotheses testing) about the spectrum of stationary …

A spatial curve dynamical model framework is adopted for functional prediction of counts in
a spatiotemporal log-Gaussian Cox process model. Our spatial functional estimation …

The paper presents conditions for the asymptotic normality of functionals of squared
periodograms based on tapered data. Stationary Gaussian random fields are considered …

In general, observations are assumed to be independent in the theory of statistics. However,
in many natural phenomena, the independence assumption is often an approximation and …

This paper studies seasonal long-memory processes with Gegenbauer-type spectral
densities. Estimates for singularity location and long-memory parameters based on general …

This is a survey of recent results on central and non-central limit theorems for quadratic
functionals of stationary processes. The underlying processes are Gaussian, linear or L\'evy …

This is a survey of recent results on central and non-central limit theorems for quadratic
functionals of stationary processes. The underlying processes are Gaussian, linear or Lévy …