Papers

In this paper, we consider a Kaehlerian manifold M of complex dimension n>1 admitting a holomorphically projective vector field^{1,2 ,5}. The purpose of the paper is to obtain the integral formulas and inequa-lities in a simply connected, compact Kaehlerian manifold with constant scalar curvature of M and to generalize some of the propositions of H. Hiramatu¹.
 

There is considerable evidence that many econometric models make use of variables which give rise to error term distributions characterized by fat-tails or infinite variance. Usually linear models are estimated by the Ordinary Least Squares (OLS) or Maximum Likelihood Estimator, (MLE) by assuming normality. When estimating linear models, where fat-tailed and serially dependent residuals appear, it is important to find robust alternatives to these estimators. This is especially true in the case of small sample estimation. An alternative to the OLS estimator is Least Absolute Error (LAE). In this Paper Least Absolute Error Estimation of Linear Regression Models with Auto Correlated errors are discussed and observed that least squares based on absolute errors are preferable over the methods, when the errors are normally distributed.

In this paper for the first time we introduce the notion of special semigroup set vector spaces. This paper has two sections. First section just recalls some of the basic definitions³. Section two defines the notion of special semigroup set vector spaces and special semigroup set linear algebras and dicuss their properties.

In this paper, a variational principle has been presented in fuzzy metric space and its applications in Menger's spaces have been discussed through a firxed point theorem.
 

In this paperwork, we discussed the regression approach to randomized block designs which is involving qualitative predictor variables under consideration of linear regression. The idea from this research will be a useful thread for establishing a comprehensive connectivity between randomized block designs and regression.

It has been recognized worldwide that the dreaded HIV infection takes place mostly under homo or hetero sexual contacts. There is still significant debate about the details of how HIV eventually overwhelms the immune system. One possibility is suggested by the antigenic diversity threshold hypothesis⁴. This hypothesis suggests that HIV's rapid mutation rate allows the virus to churn out a constant stream of escape mutants. As more and more escape mutant strains appear, the immune system has to keep increasing the number of strain-specific antibody classes at the same time that its being systematically attacked by the virus. Eventually the virus builds up enough diversity. So that the immune system may find it harder and harder to mount responses against these newly emerging virus variants. Once the antigenic diversity of the virus population has increased above a threshold value, the immune system can no longer control of virus, which results in the development of AIDS. This paper aims at developing a mathematical model to find the time to get AIDS after the first infection, is made taking in to the consideration of antigenic diversity threshold.

The purpose of the paper is to introduce the weakly Ø-Symmetric and weakly Ricci Ø-Symmetric Kenmotsu Manifolds. In this paper it is proved that there exists no weakly Ricci Ø-Symmetric Kenmotsu manifolds unless the sum of the one forms A, B and C is not vanishing everywhere and further it is proved that a Weakly Ø-Symmetric manifold is Einstein manifold.

We define Mersenne Arithmetic Mean and Mersenne Meet matrices on a subset S = {x₁,x₂,x₃ , .....X_n } with x₁ < x₂ < x₃ < ......< x_n of a lattice with respect to a complex valued function f : P→ C by  A= (a_n) where a_n = and  B= (b_n) where b_{n = 2 ^xxy}. In this paper, we assume that the elements of the matrices A and B are integers and find A/B of the n x n matrices in terms of the usual divisibility in Z.
 

Certain organizations engaged in HRM activities, take up the process of registration of personnel for recruitment. They keep a reserve or inventory of manpower and supply the same to organizations which need manpower at random times points. The reserve of manpower cannot be beyond a certain limit called the threshold, because it would be expensive and also has impact on the goodwill of the recruiting organization. Hence they stop the registration for recruitment as and when the threshold is reached. An additional manpower stock is also maintained to meet the situations which arise due to the fact that some of the persons who have registered for recruitment may not turn up at the time of demand. Hence the threshold can be represented as a total of two components. Using the shock model and cumulative damage process concept the expected time to stop registration and its variance are derived in this paper. Numerical illustration is also provided.
 

The object of this paper is to study the regularity, explicit representation and convergence of Hermite interpolation polynomial, when function values and its first derivatives are prescribed on the non uniformly distributed points obtained by vertical projection of the zeros of Legendre polynomial together with {-1, 1} on unit circle.