1. Model-assisted Variance Estimator for the GREG Estimator

    Praful A. Patel

    Department of Statistics, Sardar Patel University Vallabh Vidhyanagar-388120, Gujarat, India.

    Abstract: This paper describes a model-based estimation procedure for the variance of the generalized regression (GREG) estimator for the finite population totals. Two model-based estimators for the design variance of the GREG estimator are proposed. A simulation study is conducted to study the bias and efficiency of both estimators.

    Keywords: GREG estimator, Model-based inference, Variance estimation.

    Pages: 99 – 107 | Full PDF Paper
  2. The Non-commutative Geometry on the Compactification of Matrix Model

    E. Diaf

    Equipe de Physique, Laboratoire OLMAN RL, Faculté  Pluridisciplinaire, Nador.
    Département de Physique, Faculté Pluridisciplinaire de Nador.
    SIMo-LAB, Département de la physique, Université IBN TOFAIL.

    Abstract: Using the harmonic analysis of the three and two spheres, we study the compactification of the IKKT model on this spheres surface. Like the tori and orbifolds, we show that there exists here also a possibility to see clearly the compactifications of matrix models of M-theory on non commutative geometry.

    Keywords: Matrix Model; Non-commutative geometry, compactification.

    Pages: 108 – 121 | Full PDF Paper
  3. αe*-Closed Set

    Anjana Bhattacharyya

    Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata – 700009, India.

    Abstract: This paper deals with a new type of crisp set viz., αe*-closed set which inherits αe*-almost compactness of a space X where the underlying structure on X is a fuzzy topology. Also a new type of continuous-like function between two fuzzy topological spaces is introduced under which αe*-almost compactness for crisp subsets remains invariant.

    Keywords: αe*-almost compactness, αe*-almost compact set, αe*-Urysohn space, αe*-closed set, αe*-continuity, fuzzy e*-open function.

    Pages: 122 – 128 | Full PDF Paper