abstract in recent years, many researchers have attempted to estimate the soil hydraulic functions (e.g. soil moisture characteristics curve, and hydraulic conductivity function) using particle-size distribution (psd) curve. in these studies, an accurate mathematical representation of psd is required for fitting the observed data. so far, some mathematical models were developed with different l...

We introduce a simple methodology, so-called generalized gamma-polynomial approximation, based on moment-matching technique to approximate survival and hazard functions in the context of parametric survival analysis. We use the generalized gamma-polynomial approximation to approximate the density and distribution functions of convolutions and finite mixtures of random variables, from which the ...

Rameshwar D. Gupta was the speaker of a seminar titled “Generalized Exponential Distributions”. Gupta received his PhD degree in statistics from Dalhousie University in 1973. He worked in the University of the West Indies, University of Saskatchewan. He joined the University of New Brunswick in 1980. He has received the Merit Award at the University of New Brunswick at Saint John four times. Pr...

The α-μ distribution is a generalized fading distribution which explores nonlinearities of the wireless propagation medium. This distribution includes the other distributions such as Gamma, Nakagami, exponential, Gaussian, Rayleigh etc. This makes α-μ distribution very interesting. In this paper probability density function and performance metrics such as outage and bit error rate of α-μ distri...

‎in the following text for arbitrary $x$ with at least two elements‎, ‎nonempty countable set $gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(x^gamma,sigma_varphi)$ where $varphi:gammatogamma$ is an arbitrary self-map‎. ‎we pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding devaney‎, ‎exact dev...

Noise power spectral density (PSD) estimation is a crucial part of speech enhancement system due to its contributory effect on the quality of the noise reduced speech. A novel estimation method for color noise PSD on the basis of an assumption of generalized Gamma distribution and maximum a posteriori (MAP) criterion is proposed. In the experiment, generalized Gamma PDF which is a natural exten...

In this paper, we recognize the relation between the generalized α − λ − η − μ and η − μ fading distributions. We present an approximate technique providing the reduction of the α − λ − η − μ distribution to the generalized gamma distribution. For integer values of the fading parameter μ, we prove that the probability density function (PDF) of the α − λ − η − μ distribution is expressed via a l...

In this present paper, the main aim of the authors are to present extended k-gamma, k-beta functions and extended k-beta distribution where k > 0. These newly defined functions are the generalized forms of the extended gamma, beta functions and extended beta distribution. Also, we further generalize the said functions and some of their properties.

Estimation of the power spectral density (PSD) of noise is crucial for retrieving speech in a noisy environment. 3 novel methods for estimating the non-white noise PSD of noisy speech based on a generalized gamma distribution and 3 criterions are proposed, which are minimum mean square error (MMSE), maximum a posteriori (MAP) and Maximum likelihood estimation (MLE). Because of the highly non-st...