Confidence set interference with a prior quadratic bound

Mathematics – Probability

Scientific paper

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Bayes Theorem, Earth Core, Earth Mantle, Geomagnetism, Geophysics, Probability Distribution Functions, Uniqueness Theorem, Cartesian Coordinates, Stochastic Processes, Truncation Errors

Scientific paper

Neyman's (1937) theory of confidence sets is developed as a replacement for Bayesian interference (BI) and stochastic inversion (SI) when the prior information is a hard quadratic bound. It is recommended that BI and SI be replaced by confidence set interference (CSI) only in certain circumstances. The geomagnetic problem is used to illustrate the general theory of CSI.

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