Applying simultaneously the methodology of Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and framework General Equation for Reversible-Irreversible Coupling (GENERIC), we demonstrate that, in heat conduction theories, entropy current multipliers can be interpreted as relaxed state variables. Fourier's law its various extensions -- Maxwell-Cattaneo-Vernotte, Guyer-Krumhansl, Je...

The notion of confidence distributions is applied to inference about the parameter in a simple autoregressive model, allowing take value one. This makes it possible compare asymptotic approximations both stationary and nonstationary cases at same time. main point, however, Bayesian analysis problem. A noninformative prior for parameter, sense Jeffreys, given as ratio density likelihood. In this...

Theoretical understanding of the generation and growth of wind driven surface water waves has been based on two distinct mechanisms; the first being stochastic excitation by wave incoherent random atmospheric pressure fluctuations unrelated to wave amplitude (Eckart 1953; Phillips 1957) and the second instability arising from wave induced coherent atmospheric pressure fluctuations proportional ...

Count data containing both excess zeros and ones occur in many fields, the zero-and-one inflated distribution is suitable for analyzing them. Herein, we construct confidence intervals (CIs) parameters of cosine geometric (ZOICG) constructed by using five methods: a Wald CI based on maximum likelihood estimate, equal-tailed Bayesian CIs uniform or Jeffreys prior, highest posterior density prior....

We consider the effect of gold nanoparticles on stability properties convection in a vertical fluid layer saturated by Jeffreys fluid. The boundaries are rigid and hold at uniform but different temperatures. Brownian diffusion thermophoresis effects considered. Due to numerous applications biomedical industry, such study is essential. linear investigated through normal mode disturbances. result...

This work investigates the effects of using independent Jeffreys prior for degrees freedom parameter a t-student model in asymmetric generalised autoregressive conditional heteroskedasticity (GARCH) model. To capture asymmetry reaction to past shocks, smooth transition models are assumed variance. We adopt fully Bayesian approach inference, prediction and selection discuss problems related esti...

This paper develops default priors for Bayesian analysis that reproduce familiar frequentist and Bayesian analyses for models that are exponential or location. For the vector parameter case there is an information adjustment that avoids the Bayesian marginalization paradoxes and properly targets the prior on the parameter of interest thus adjusting for any complicating nonlinearity the details ...