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Statistics and Probability

Old Dominion University

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Full-Text Articles in Mathematics

An Adaptive Algorithm For `The Secretary Problem': Alternate Proof Of The Divergence Of A Maximizer Sequence, Andrew Benfante, Xiang Xu Jan 2023

An Adaptive Algorithm For `The Secretary Problem': Alternate Proof Of The Divergence Of A Maximizer Sequence, Andrew Benfante, Xiang Xu

OUR Journal: ODU Undergraduate Research Journal

This paper presents an alternate proof of the divergence of the unique maximizer sequence {π‘₯βˆ— 𝑛} of a function sequence {𝐹𝑛(π‘₯)} that is derived from an adaptive algorithm based on the now classic optimal stopping problem, known by many names but here β€˜the secretary problem’. The alternate proof uses a result established by Nguyen, Xu, and Zhao (n.d.) regarding the uniqueness of maximizer points of a generalized function sequence {π‘†πœ‡,𝜎 𝑛 } and relies on the strict monotonicity of 𝐹𝑛(π‘₯) as 𝑛 increases in order to show divergence of {π‘₯βˆ— 𝑛}. Towards this, limits of the exponentiated Gaussian CDF are …


A Comparison Of Different Methods For Predicting Cancer Mortality Counts At The State Level, Corinne Wilson Jan 2008

A Comparison Of Different Methods For Predicting Cancer Mortality Counts At The State Level, Corinne Wilson

Virginia Journal of Science

Cancer is a major health issue in the United States. Reliable estimates of yearly cancer mortality counts are essential for resourcing and planning. The American Cancer Society has used several methods of forecasting to estimate the future cancer burden and researchers are continually working to develop new methods with improved performance. There have been studies comparing different models for predicting the US cancer mortality counts. This study explores and compares several different models for cancer mortality count predictions at the state level, principally for the state of Virginia. Results of the comparisons appear to show the final improved model to …