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Full-Text Articles in Physical Sciences and Mathematics
Some Sampling Designs And Estimation Problems, Hassan Lakkis
Some Sampling Designs And Estimation Problems, Hassan Lakkis
Mathematics & Statistics Theses & Dissertations
In the first chapter we review some standard estimators in sampling from a finite population, and some design-based estimators in sampling from a continuous universe.
In concert with the theory initiated by professor Douglas Robson (personal communication) and later presented by Cordy (1993), we consider design-based variance estimation for probability sampling from a continuous and spatially distributed universe. Using this theory in chapter two, the sampling design of one random point from each cell of a translated grid is investigated and the problem of edge effects on estimation is illustrated with examples. Also in chapter four, standard systematic sampling methods …
Invariance Properties Of Statistical Tests For Dependent Observations, Akhil K. Vaish
Invariance Properties Of Statistical Tests For Dependent Observations, Akhil K. Vaish
Mathematics & Statistics Theses & Dissertations
In this dissertation we assume that the observations are from normal populations but are correlated and study the problem of characterizing the class of covariance structures such that the distributions of the popular test statistics remain invariant, that is, they remain the same except for a constant factor. We first obtain some simple extensions and variations of the well known Cauchy-Schwarz inequality. Incidentally, several inequalities that are useful in the detection of outliers can be deduced from our results.
Our main result is a characterization of the class of all nonnegative definite solutions W to the matrix equation AWA = …