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Theses/Dissertations

Mathematics

Mathematics

1980

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Contribution To Theories Of Repetitive Sampling Strategies., Raghunath Arnab Dr. Mar 1980

Contribution To Theories Of Repetitive Sampling Strategies., Raghunath Arnab Dr.

Doctoral Theses

A common practical problem to whlch a survey - sampler has frequently to address himself 1s one of sampling a given finite population on successive occasions. One of the relevant issues requiring one's attention then 1s to adopt a suitable sampling strategy to estimate the population total of a variate of interest an the current occasion in an optimal manner. Here one has of necessity to take care to utilize the accumalated data on that variate procured in course of the survey along with other auxdliary information on one or more additional variables that may also incidentally be available, Several …


Statistical Analysis Of Nonestimable Functionals., Dibyen Majumdar Dr. Feb 1980

Statistical Analysis Of Nonestimable Functionals., Dibyen Majumdar Dr.

Doctoral Theses

Our interent will be centred around the Gaunn Markov model (Y,X6,2A), where Y ls a randon variable asnuning values in R" with expectation and dispersion natrix given byE(Y) = XA (1.1) (1.2) * X in Rnxm and A In the subset of nonnegative definite (n.n.d.) natrices of RAre known. Unless apecifled to the contrary, A will be assuted to be positive definite (p.d.). The unknown paraneter vector B varies in Ag, a subset of Rand o? in, will alvays be the positive half of the real line, unless otherwine specifled, and 1ikewfse satiafien the minimum requirement dim (n,) = m.Historically, …


Determination Of Probability Measures Through Group Actions., Inder Kumar Rana Dr. Feb 1980

Determination Of Probability Measures Through Group Actions., Inder Kumar Rana Dr.

Doctoral Theses

One of the fundamental problems in Measure Theory is the following: given a measurable space (x, B,), to find subclasses D of B, such that whenever for two probability measures u and v on (X, B,), u(B) = v(3) for every B c D, then u(B) = v(B) for every Be B,. The first basic theorem of Measure Theory, viz., the Caratheodory Extension Theorem says that any sub-algebra D of B, which generates B, has the above mentioned property.Let (X, B, ) be a given measurable space. A subclass n of 3, is called a determining class for a class …


Transformational Geometry Unit, Elizabeth Ann O'Neill Jan 1980

Transformational Geometry Unit, Elizabeth Ann O'Neill

All Graduate Projects

The study included the development and writing of a unit on transformational geometry which involved a holistic approach including the cognitive, psychomotor, and affective domains. This unit was taught to the eighth grade class in the Oakville School District in Oakville, Washington. The results showed support that the teaching of this unit was effective.