STUDY OF MODELS WITHOUT JUMPS WITH RESPECT TO FRACTIONAL BROWNIAN MOTION

In this paper, we study some models without jumps of stochastic differential equations directed by a fractional Brownian motion.

CONSISTENCY OF THE DRIFT PARAMETERS ESTIMATES IN THE FRACTIONAL BROWNIAN DIFFUSION MODEL AND ESTIMATION OF THE HURST PARAMETER BY MAXIMUM LIKELIHOOD METHOD

In this paper, we study the problem of estimating the unknow parameters in a long memory process based on the maximum likelihood method. We consider again a diffusion model involving fractional Brownian motion. Our goal is to study the consistency of the drift parameter estimates depending on the form of the model.

COMMUTATIVE NEUTRIX CONVOLUTION PRODUCT OF GENERALIZED FRESNEL COSINE INTEGRALS AND APPLICATIONS

The generalized Fresnel cosine integral $C_k(x)$ and its associated functions $C_{k+}(x)$ and $C_{k-}(x)$ are defined as locally summable functions on the real line. The generalized Fresnel cosine integrals have huge applications in physics, specially in optics and electromaghetics. In many diffraction problems the generalized Fresnel integrals plays an important role. In this paper are calculated the commutative neutrix convolutions of the generalized Fresnel cosine integral and its associated functions with $x^r, r=0,1,2,\dots$.

ASYMPTOTIC PROPERTIES IN THE PROBIT-ZERO-INFLATED BINOMIAL REGRESSION MODEL

Zero-inflated regression models have had wide application recently and have provenuseful in modeling data with many zeros. Zero-inflated Binomial (ZIB) regression model is an extension of the ordinary binomial distribution that takes into account the excess of zeros. In comparing the probit model to the logistic model, many authors believe that there is little theoretical justification in choosing one formulation over the other in most circumstances involving binary responses. The logit model is considered to be computationally simpler but it is based on a more restrictive assumption of error independence, although many other generalizations have dealt with that assumption as well. By contrast, the probit model assumes that random errors have a multivariate normal distribution. This assumption makes the probit model attractive because the normal distribution provides a good approximation to many other distributions. In this paper, we develop a maximum likelihood estimation procedure for the parameters of a zero-inflated Binomial regression model with probit link function for both component of the model. We establish the existency, consistency and asymptotic normality of the proposed estimator.

ON THE PROPERTIES OF BIFRACTIONAL BROWNIAN MOTION

In this paper, we study several properties of the bifractional Brownian motion introduced by Houdr\'{e} and Villa.

ON THE WIENER INDEX OF F_H SUMS OF GRAPHS

Wiener index is the first among the long list of topological indices which was used to correlate structural and chemical properties of molecular graphs. In \cite{Eli} M. Eliasi, B. Taeri defined four new sums of graphs based on the subdivision of edges with regard to the cartesian product and computed their Wiener index. In this paper, we define a new class of sums called $F_H$ sums and compute the Wiener index of the resulting graph in terms of the Wiener indices of the component graphs so that the results in \cite{Eli} becomes a particular case of the Wiener index of $F_H$ sums for $H = K_1$, the complete graph on a single vertex.

THE DISTANCE RELATED SPECTRA OF SOME SUBDIVISION RELATED GRAPHS

Let $G$ be a connected graph with a distance matrix $D$. The distance eigenvalues of $G$ are the eigenvalues of $D$, and the distance energy $E_D(G)$ is the sum of its absolute values. The transmission $Tr(v)$ of a vertex $v$ is the sum of the distances from $v$ to all other vertices in $G$. The transmission matrix $Tr(G)$ of $G$ is a diagonal matrix with diagonal entries equal to the transmissions of vertices. The matrices $D^L(G)= Tr(G)-D(G)$ and $D^Q(G)=Tr(G)+D(G)$ are, respectively, the Distance Laplacian and the Distance Signless Laplacian matrices of $G$. The eigenvalues of $D^L(G)$ ( $D^Q(G)$) constitute the Distance Laplacian spectrum ( Distance Signless Laplacian spectrum ). The subdivision graph $S(G)$ of $G$ is obtained by inserting a new vertex into every edge of $G$. We describe here the Distance Spectrum, Distance Laplacian spectrum and Distance Signless Laplacian spectrum of some types of subdivision related graphs of a regular graph in the terms of its adjacency spectrum. We also derive analytic expressions for the distance energy of $\bar{S}(C_p)$, partial complement of the subdivision of a cycle $C_p$ and that of $\overline {S\left( {C_p }\right)}$, complement of the even cycle $C_{2p}$.

L-MMH: AN IMPROVED AND NOVEL MODEL FOR GROWTH

Proposing a function for modeling growth is an important development for the curve fitting of data. This study gives a derivation for a new mathematical equation for growth and reports some significant features of this model.

L-MMH: AN IMPROVED AND NOVEL MODEL FOR GROWTH

Proposing a function for modeling growth is an important development for the curve fitting of data. This study gives a derivation for a new mathematical equation for growth and reports some significant features of this model.

SOME PROPERLY HEREDITARY BITOPOLOGICAL PROPERTIES

In this paper we discuss some pairwise properly hereditary properties concerning pairwise separation axiom, and obtain several results related to these properties.