This paper mainly deals with the problem of target detection in the presence of Compound-Gaussian (CG) clutter with the Inverse Gaussian (IG) texture and the unknown Power Spectral Density (PSD). The traditional CG distributions, in particular the K distribution and the complex multivariate t distribution, are widely used for modeling the real clutter data from the High-Resolution (HR) radars. ...

In view of their importance and usefulness in reliability theory and probability distributions, several generalizations of the inverse Gaussian distribution and the Krätzel function are investigated in recent years. This has motivated the authors to introduce and study a new generalization of the inverse Gaussian distribution and the Krätzel function associated with a product of a Bessel functi...

Gaussian assumption is the most well-known and widely used distribution in many fields such as engineering, statistics and physics. One of the major reasons why the Gaussian distribution has become so prominent is because of the Central Limit Theorem (CLT) and the fact that the distribution of noise in numerous engineering systems is well captured by the Gaussian distribution. Moreover, feature...

Several studies find that the return volatility of stocks tends to exhibit long-range dependence, heavy tails, and clustering. Because stochastic processes with self-similarity possess long-range dependence and heavy tails, Rachev and Mittnik (2000) suggest employing self-similar processes to capture these characteristics in return volatility modeling. In this paper, we find using high-frequenc...

We derive analytical formulae for the complex amplitudes of variants generalized Hermite–Gaussian (HG) and Laguerre–Gaussian (LG) beams. reveal that, at particular values parameters exact solution paraxial propagation equation, these beams are converted into conventional elegant HG LG also deduce asymmetric that described by in form Hermite Laguerre polynomials whose argument is shifted plane. ...

The Gaussian distribution is the most commonly used statistical model of the speech signal. In this paper we propose more general statistical model for the distributions of the real and imaginary parts of the speech signal DFT coefficients and their magnitudes. Based on experimental measurements with the TIMIT database we have shown that the Generalized Gaussian Distribution holds well across f...

In speech recognition, acoustic modeling mismatches for the shapes of distributions are unavoidable when we use fixed-shape base distributions, such as the Gaussian. This paper proposes a new base distribution called the "generalized Laplacian distribution (GLD)", which offers more flexibility in terms of the distribution shape. The effectiveness of the GLD-based modeling is proven through spee...

The q-Gaussian distribution is known to be an attractor of certain correlated systems, and is the distribution which, under appropriate constraints, maximizes the entropy Sq , the basis of nonextensive statistical mechanics. This theory is postulated as a natural extension of the standard (Boltzmann-Gibbs) statistical mechanics, and may explain the ubiquitous appearance of heavy-tailed distribu...

In digital management, multimedia content and data can easily be used in an illegal way-being copied, modified and distributed again. Copyright protection, intellectual and material rights protection for authors, owners, buyers, distributors and the authenticity of content are crucial factors in solving an urgent and real problem. In such scenario, digital watermark techniques are emerging as a...