The Sun encompasses planet Earth, supplies the heat that warms it, and even shakes it. The United Nation’s Intergovernmental Panel on Climate Change (IPCC) assumed that solar influence on Earth’s climate is limited to changes in solar irradiance and adopted the consensus opinion of a hydrogen-filled Sun—the Standard Solar Model (SSM). They did not consider the alternative solar model and instea...

We consider a purely fractionally deferenced process driven by periodically time-varying long memory parameter. will build an estimate for the vector parameters using minimum Hellinger distance estimation. The results are investigated through simulation studies.

Abstract We derive a macroscopic heat equation for the temperature of pinned harmonic chain subject to periodic force at its right side and in contact with bath left side. The microscopic dynamics bulk is given by Hamiltonian motion plus reversal velocity particle occurring independently each exponential times, rate $$\gamma $$ γ...