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Full-Text Articles in Probability

Uncertainty Assessment Of Aircraft Maintenance Times By Using Evidence Theory And Expert Judgment Elicitation, Huseyin Kudak Apr 2008

Uncertainty Assessment Of Aircraft Maintenance Times By Using Evidence Theory And Expert Judgment Elicitation, Huseyin Kudak

Engineering Management & Systems Engineering Theses & Dissertations

The goal of this study is to demonstrate the use of the Dempster-Shafer Theory of evidence as a decision aid to predict aircraft maintenance times during wartime operations using expert judgment elicitation. Increased precision in time estimation enables the jet engine aircraft maintenance facility commander to make more accurate decisions for the Air Force's wartime tactical operations allowing the commander to gain a decisive advantage. A questionnaire was designed to elicit judgments from experts in the Aircraft Maintenance Facility (AMF) to investigate maintenance times of the major failure modes (Ignition, Fuel, and Electrical). Results of the expert judgment elicitation were …


Application Of The Probability Distribution Of Distances In A Layered Sphere To Electrostatic Energy, Neal Livesay Jan 2008

Application Of The Probability Distribution Of Distances In A Layered Sphere To Electrostatic Energy, Neal Livesay

Theses & Honors Papers

This thesis works on a problem that involves calculating the total electrostatic interaction energy of two charged particles uniformly distributed in a sphere. It determines that traditional methods and the use of probability techniques yield equivalent results for the electrostatic energy in a charged layered sphere.


Tests For Correlation On Bivariate Nonnormal Distributions, Louanne Margaret Beversdorf Jan 2008

Tests For Correlation On Bivariate Nonnormal Distributions, Louanne Margaret Beversdorf

UNF Graduate Theses and Dissertations

Many samples in the real world are very small in size and often do not follow a normal distribution. Existing tests for correlation have restrictions on the distribution of data and sample sizes, therefore the current tests cannot be used in some real world situations.

In this thesis, two tests are considered to test hypotheses about the population correlation coefficient. The tests are based on statistics transformed by a saddlepoint approximation and by Fisher's Z-transformation. The tests are conducted on small samples of bivariate nonnormal data and found to perfom well.

Simulations were run in order to compare the type …