Non-linear and non-gaussian signal inference problems are difficult to tackle. Renormalization techniques permit us to construct good estimators for the posterior signal mean within information field theory (IFT), but the approximations and assumptions made are not very obvious. Here we introduce the simple concept of minimal Gibbs free energy to IFT, and show that previous renormalization resu...

Shadow fading causes random fluctuations of the envelope mean at the mobile. The lognormal distribution is widely accepted for this phenomenon. In this paper we argue that, based on theoretical results and measured data, gamma distribution does the job as well. Then we show that by using the gamma distribution and in contrast with the use of the lognormal distribution, we can obtain easy-to-use...

| The equation for the response to selection is a powerful analysis and modeling tool for genetic algorithms. In this paper we extend the classical analysis which is restricted to a normal distribution to skew tness distributions. We show that for a small number of variables the Gamma distribution ts the distribution of the tness values better than a normal distribution. We compute the selectio...

Irradiance fluctuations of an infrared laser beam from a shore-to-ship data link ranging from 5.1 to 17.8 km are compared to lognormal (LN), gamma-gamma (GG) with aperture averaging, and gamma-Laguerre (GL) distributions. From our data analysis, the LN and GG probability density function (PDF) models were generally in good agreement in near-weak to moderate fluctuations. This was also true in m...

Abstract In this chapter, we discuss the higher order differentiability properties of Σ g when lies in $$\mathcal {C}^r\cap \mathcal {D}^p\cap {K}^{\max \{p,r\}}$$ C r ∩ D p K max</mm...

Standardized Runoff Index (SRI), as one of the well-known hydrological drought indices, may contain uncertainties caused by employment distribution function, time scale, and record length statistical data. In this study, uncertainty in SRI estimation monthly discharge data 30- 49-year lengths from Minab Dam watershed, south Iran, was investigated. Four probability functions (Gamma, Weibull, Log...

Estimation of net costs attributed to a disease or other health condition is very important for health economists and policy makers. Skewness and heteroscedasticity are well-known characteristics for cost data, making linear models generally inappropriate and dictating the use of other types of models, such as gamma regression. Additional hurdles emerge when individual level data are not availa...

Abstract In the previous chapter, we tested our results on some multiple $$\log \Gamma $$ log Γ -type functions that are well-known special functions. It is clear, however, there many other still to be introduced and investigated, simply as principal indefinite sums of standard

-Some early reactor accidents are recalled together with their associated environmental consequences. One such consequence is the generation of radioactive aerosol. We describe the various physical processes that such an aerosol cloud undergoes within the secondary containment building. These physical processes are then brought together quantitatively in a balance equation for the aerosol size ...