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
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
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 α–e*-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 α–e*-almost compactness for crisp subsets remains invariant.
Keywords: α–e*-almost compactness, α–e*-almost compact set, α–e*-Urysohn space, α–e*-closed set, α–e*-continuity, fuzzy e*-open function.
Pages: 122 – 128 | Full PDF Paper