Main result of this paper is to derive the exact analytical expressions of information and covariance matrix for multivariate Pareto, Burr and related distributions. These distributions arise as tractable parametric models in reliability, actuarial science, economics, finance and telecommunications. We showed that all the calculations can be obtained from one main moment multidimensional integr...

A conjugate point test determining an index of the constrained second variation in one-dimensional isoperimetric calculus of variations problems is described. The test is then implemented numerically to determine stability properties of equilibria within a continuum mechanics model of DNA minicircles.

We construct a new topology on the space of stopped paths and introduce calculus for causal functionals generic domains this space. propose approach to pathwise integration without any assumption variation index path obtain functional change variable formulae which extend results Föllmer [Séminaire de probabilités 15 (1981), 143–150] Cont Fournié [J. Funct. Anal. 259 (2010), no. 4, 1043–1072] l...

A characteriation of continuity of the $p$-$Lambda$-variation function is given and the Helly's selection principle for $Lambda BV^{(p)}$ functions is established. A characterization of the inclusion of Waterman-Shiba classes into classes of functions with given integral modulus of continuity is given. A useful estimate on modulus of variation of functions of class $Lambda BV^{(p)}$ is found.

the incidence of stone disease among patients with congenital renal anomalies including malrotated kidney is more than in normal population due to poor urine drainage and stasis (1). various minimally invasive options have been used for the management. ureteroscopy and holmium:yag laser lithotripsy have been reported with favorable outcomes (2). we report a 30-year-old male who presented to our...

fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order.the purpose of this work is to use hadamard fractional integral to establish some new integral inequalities of gruss type by using one or two parameters which ensues four main results . furthermore, other integral inequalities of reverse m...

In this paper we discuss the use of bounded variation functions in the study of some optimal control problems as well as in the calculus of variations. The bounded variation functions are well adapted to the study of parameter identiication problems, such as the coeecients of an elliptic or parabolic operator. These functions are also convenient for the image recovery problems. These problems a...

 Gingiva is a common region of inflammatory and reactive lesions. Systemic conditions, including hormonal imbalance in pregnant women, may cause exaggerated response to irritations such as calculus or infection. Therefore, more accurate assessment is necessary to achieve the best decision making in the differential diagnosis and treatment of these patients. In this paper, we present a rea...