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Missouri University of Science and Technology

Doctoral Dissertations

1978

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Full-Text Articles in Physical Sciences and Mathematics

The Paleontology And Biostratigraphy Of The Lower Ordovician Gasconade Formation Of Missouri, Bruce L. Stinchcomb Jan 1978

The Paleontology And Biostratigraphy Of The Lower Ordovician Gasconade Formation Of Missouri, Bruce L. Stinchcomb

Doctoral Dissertations

"The biostratigraphy, paleoecology and paleontology of the Lower Ordovician Gasconade Formation in Missouri is reinvestigated in an attempt to solve problems that have arisen since the classic earlier studies by Ulrich, Bridge and others. Twelve faunal zones are established, many based on primitive mollusks which dominate the formation. The oldest of these, in the Van Buren Member, is the Hypseloaonus Zone. This is followed by a zone characterized by the primitive cephalopod Dakeoaeras then a zone dominated by the gastropod Sinuopea. These zones are succeeded by the Euomphalopsis, Matthevia and Ozarkina Zones which lie stratigraphically below the Cryptozoon Zone, …

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Inferences On The Shape Parameter Of The Gamma Distribution And Cramer-Rao Lower Bounds From Censored Data, James Wyckoff Jan 1978

Inferences On The Shape Parameter Of The Gamma Distribution And Cramer-Rao Lower Bounds From Censored Data, James Wyckoff

Doctoral Dissertations

"This dissertation is presented in publication form and consists of two articles. The first article considers inferential procedures on the shape parameter of a gamma distribution from censored sampling. Moments for the statistic T = log(x̅r/x͠r) are found and used to derive a two-moment chi-square approximation for T. This approximation is then used for testing, estimating, and setting confidence bounds on the shape parameter of a gamma distribution. The second article concerns the Cramér-Rao lower bounds for the variances of estimators, where the estimators are based on censored data. Convenient techniques are derived to evaluate the …

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