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This study establishes the asymptotic consistency of the James-Stein shrinkage estimator (JSSE) ˆ!⇤ n of some parameter ✓, which is obtained by shrinking a maximum likelihood estimator (MLE) ˆ✓n. Our shrinking strategy involves creating a subspace to shrink to by partitioning the parameter space...

In this dissertation, we examine the small and large sample properties of the U-statistics (Un) for an estimable parameter : For small sample, Un is found to be MVUE and Su cient. Large sample properties of Un examined are Consistency and Asymptotic normality. We also compare the rate of...

The contemporary smooth structures that describe the motion of particles on underlying sets through the related specified differential geometry need to be assessed in the sense of stabilising the advantage of working with one or another. Such a study is what we call a comparative smootheology. A...

Since the Outcomes-Based Mathematics Teacher Education Syllabus (OBMTES) was introduced at Junior Secondary Teachers‘ Diploma (JSTD) level in 2016 not much is known regarding how it is being implemented, a scenario which would make it problematic to attribute continued poor competence in...

Poor essential workings in Mathematics is an attribute of poor problem solving processes. The study explored learners’ problem solving processes in Calculus at Grade 12 level. Calculus was introduced when the curriculum was revised in 2013 and involves basic differentiation and integration at...

Poor essential workings in Mathematics is an attribute of poor problem solving processes. The study explored learners’ problem solving processes in Calculus at Grade 12 level. Calculus was introduced when the curriculum was revised in 2013 and involves basic differentiation and integration at...

The purpose of this study was to explore the mathematical knowledge that teachers had for teaching Geometrical transformations in selected secondary schools in Lusaka District. The study was guided by three (3) research questions namely; what iv knowledge of geometrical transformations do the...

Mathematics plays a vital role in personal, national and global development. Despite its great importance to national development, the Zambia Grade 12 National Examination results reports low percentage passes in mathematics. The topics that continuously posed a challenge in Grade 12 Ordinary...

The purpose of this study was to investigate the use of differentiated instruction to meet the diverse needs of pupils by teachers of mathematics in four selected secondary schools in Choma District. The sample comprised 178 respondents from four selected secondary schools of which 18 were...