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Full-Text Articles in Probability

Statistical Inference For The Transformed Rayleigh Lomax Distribution With Progressive Type-Ii Right Censorship, Amani Alghami, Wei Ning, Arjun K. Gupta Jan 2019

Statistical Inference For The Transformed Rayleigh Lomax Distribution With Progressive Type-Ii Right Censorship, Amani Alghami, Wei Ning, Arjun K. Gupta

Mathematics and Statistics Faculty Publications

In this paper, we study the transformed Rayleigh Lomax (Trans-RL) distribution which belongs to a certain family of two parameters lifetime distributions given by Wang et al (2010). Confidence intervals and inverse estimators of the Trans-RL parameters are derived in terms of order statistics. A simulation study is conducted to report the coverage probabilities, the average biases and the average relative mean square errors for the maximum likelihood, L-moments and inverse estimators. We compare the performance of these methods under different schemes of progressively Type-II right censoring. Finally, an illustrative example is provided to demonstrate the proposed methods.


Statistical Analysis Of Momentum In Basketball, Mackenzi Stump Dec 2017

Statistical Analysis Of Momentum In Basketball, Mackenzi Stump

Honors Projects

The “hot hand” in sports has been debated for as long as sports have been around. The debate involves whether streaks and slumps in sports are true phenomena or just simply perceptions in the mind of the human viewer. This statistical analysis of momentum in basketball analyzes the distribution of time between scoring events for the BGSU Women’s Basketball team from 2011-2017. We discuss how the distribution of time between scoring events changes with normal game factors such as location of the game, game outcome, and several other factors. If scoring events during a game were always randomly distributed, or …