A NOVEL ESTIMATOR OF EARTH'S CURVATURE (ALLOWING FOR INFERENCE AS WELL)

成果类型:
Article
署名作者:
Bell, David R.; Ledoit, Oliver; Wolf, Michael
署名单位:
University of Zurich
刊物名称:
ANNALS OF APPLIED STATISTICS
ISSN/ISSBN:
1932-6157
DOI:
10.1214/23-AOAS1802
发表日期:
2024
页码:
585-599
关键词:
摘要:
This paper estimates the curvature of the Earth, defined as one over its radius, without relying on physical measurements. The orthodox model states that the Earth is (nearly) spherical with a curvature of pi /20,000 km. By contrast, the heterodox flat-Earth model stipulates a curvature of zero. Abstracting from the well-worn arguments for and against both models, rebuttals and counter-rebuttals ad infinitum, we propose a novel statistical methodology based on verifiable flight times along regularly scheduled commercial airline routes; this methodology allows for both estimating and making inference for Earth's curvature. In particular, a formal hypothesis test resolutely rejects the flat-Earth model, whereas it does not reject the orthodox spherical-Earth model.
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