Results 21 to 30 of about 472 (77)
, 2012 The purpose of this paper is to develop a set of identities for Euler type sums of products of harmonic numbers and reciprocal binomial ...
Sofo, Anthony
core +2 more sources
Maximum likelihood estimators for generalized Cauchy processes [PDF]
, 2007 Maximum likelihood estimator (MLE) for a generalized Cauchy process (GCP) is studied with the aid of the method of information geometry in statistics. Our GCP is described by the Langevin equation with multiplicative and additive noises.
Konno Hidetoshi +2 more
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Infinite Matrix Products and the Representation of the Matrix Gamma Function
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass. A limit representation of the matrix gamma function is also provided.
J.-C. Cortés +4 more
wiley +1 more source
Synthetic Aperture Radar Image Background Clutter Fitting Using SKS + MoM‐Based G0 Distribution
Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015 G0 distribution can accurately model various background clutters in the single‐look and multilook synthetic aperture radar (SAR) images and is one of the most important statistic models in the field of SAR image clutter modeling. However, the parameter estimation of G0 distribution is difficult, which greatly limits the application of the distribution.
Zhengwei Zhu +3 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of number theory, elementary particle physics, and theoretical physics.
Junesang Choi, S. D. Purohit
wiley +1 more source
Inequalities for Basic Special Functions Using Hölder Inequality
MathematicsLet p,q≥1 be two real numbers such that 1p+1q=1, and let a,b∈R be two parameters defined on the domain of a function, for example, f. Based on the well known Hölder inequality, we propose a generic inequality of the form |f(ap+bq)|≤|f(a)|1p|f(b)|1q, and ...
Mohammad Masjed-Jamei +2 more
doaj +1 more source
Euler Type Integrals and Integrals in Terms of Extended Beta Function
Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 We derive the evaluations of certain integrals of Euler type involving generalized hypergeometric series. Further, we establish a theorem on extended beta function, which provides evaluation of certain integrals in terms of extended beta function and certain special polynomials.
Subuhi Khan +2 more
wiley +1 more source
Some completely monotonic functions involving the polygamma functions [PDF]
, 2010 Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.Comment: 6 ...
Gao, Peng
core
Estimation and Inference for Higher‐Order Stochastic Volatility Models With Leverage
Journal of Time Series Analysis, Volume 46, Issue 6, Page 1064-1084, November 2025.ABSTRACT Statistical inference—estimation and testing—for stochastic volatility models is challenging and computationally expensive. This problem is compounded when leverage effects are allowed. We propose efficient, simple estimators for higher‐order stochastic volatility models with leverage [SVL(p)$$ (p) $$], based on a small number of moment ...
Md. Nazmul Ahsan +2 more
wiley +1 more source
A Class of Logarithmically Completely Monotonic Functions and Their Applications
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We study the recent investigations on a class of functions which are logarithmically completely monotonic. Two open problems are also presented.
Senlin Guo, Qiu-Ming Luo
wiley +1 more source