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Full-Text Articles in Statistics and Probability
Upper-Sided Ewma-Based Distribution-Specific Tolerance Limits, Owen Visser
Upper-Sided Ewma-Based Distribution-Specific Tolerance Limits, Owen Visser
UNF Graduate Theses and Dissertations
Tolerance limits are constructed from sample data to ascertain if a proportion of a process is within specification limits. There exists multiple methods of calculating the sample size requirements for tolerance limits under various assumptions. In this research, a distribution-specific algorithm that utilizes the exponentially weighted moving average technique (EWMA), first introduced by Sa and Razaila (2004), is reconstructed. The algorithm is used to calculate the required sample sizes for continuous construction of upper-sided tolerance limits. The sample sizes and intervals constructed from them are compared to three existing methods for various distributions. The distribution-specific algorithm was observed to reduce …
Uniform Random Variate Generation With The Linear Congruential Method, Joseph Free
Uniform Random Variate Generation With The Linear Congruential Method, Joseph Free
PANDION: The Osprey Journal of Research and Ideas
This report considers the issue of using a specific linear congruential generator (LCG) to create random variates from the uniform(0,1) distribution. The LCG is used to generate multiple samples of pseudo-random numbers and statistical computation techniques are used to assess whether those samples could have resulted from a uniform(0,1) distribution. Source code is included with this report in the appendix along with annotations.
A New Right Tailed Test Of The Ratio Of Variances, Elizabeth Rochelle Lesser
A New Right Tailed Test Of The Ratio Of Variances, Elizabeth Rochelle Lesser
UNF Graduate Theses and Dissertations
It is important to be able to compare variances efficiently and accurately regardless of the parent populations. This study proposes a new right tailed test for the ratio of two variances using the Edgeworth’s expansion. To study the Type I error rate and Power performance, simulation was performed on the new test with various combinations of symmetric and skewed distributions. It is found to have more controlled Type I error rates than the existing tests. Additionally, it also has sufficient power. Therefore, the newly derived test provides a good robust alternative to the already existing methods.