Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Testing for symmetry about an unknown median is a ubiquitous problem in mathematical statistics, particularly, for nonparametric rank-based methods, and in a broad range of applied studies, from economics and business to biology, ecology, and medicine. Hover, the challenge still remains on how to derive a symmetry test with a good por performance and at the same time delivering a reliable Type I Error estimate. To overcome this problem, a new data-driven m -out-of- n bootstrap method is introduced for testing symmetry about an unknown median. The asymptotic properties of the developed m -out-of- n bootstrap tests are investigated along with their empirical finite-sample performance. The new tests are illustrated by applications to legal studies and wildlife monitoring.
['Vyacheslav Lyubchich', 'Xingyu Wang', 'Andrew Heyes', 'Yulia R. Gel']
I am writing a research paper on a idea A distribution-free m -out-of- n bootstrap approach to testing symmetry about an unknown median
[{"from": "human", "value": "I am writing a research paper on a idea A distribution-free m -out-of- n bootstrap approach to testing symmetry about an unknown median"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Testing for symmetry about an unknown median is a ubiquitous problem in mathematical statistics, particularly, for nonparametric rank-based methods, and in a broad range of applied studies, from economics and business to biology, ecology, and medicine. Hover, the challenge still remains on how to derive a symmetry test with a good por performance and at the same time delivering a reliable Type I Error estimate. To overcome this problem, a new data-driven m -out-of- n bootstrap method is introduced for testing symmetry about an unknown median. The asymptotic properties of the developed m -out-of- n bootstrap tests are investigated along with their empirical finite-sample performance. The new tests are illustrated by applications to legal studies and wildlife monitoring."}]