BOOTSTRAPPED INTERSECTING REMAGNETIZATION GREAT CIRCLES AND THE SUBSEQUENT EMPIRICAL CONFIDENCE REGION

LEANDRO C. GALLO; RENATA N. TOMEZZOLI; ERNESTO OSVALDO CRISTALLINI

LatinMag Letters

Universidad Nacional Autónoma de México

Año: 2017 vol. 7 p. 1 - 5

2007-9656

Given the already documented bias in the determination of intersecting remagnetization great circles as a function of the parallelism of the circles, resulting in an elongated bias in that direction, we found that rotational symmetry assumptions around the intersection would seem to be insufficient.In this contribution, we address the intersection and its inherent bias by doing bootstrap. Repeated calculations explore possible outcomes numerically; elongated distributions of the bootstrapped intersections are regarded as biased. The method calculates a more realistic confidence region based on the empirical distribution of the bootstrapped intersections. A preliminary version of the program implementing the method described here is available from L. Gallo on request.