Hypothesis Testing

PowerPoint slides for Hypothesis Testing. Examples are taken from the Medical Literatur

Riemann hypothesis

This work is dedicated to the promotion of the results Hadamard, Landau E., Walvis A., Estarmann T and Paul R. Chernoff for pseudo zeta functions. The properties of zeta functions are studied, these properties can lead to new regularities of zeta functions.Comment: 10 pages. arXiv admin note: substantial text overlap with arXiv:1605.0601

Predictive hypothesis identification

While statistics focusses on hypothesis testing and on estimating (properties of) the true sampling distribution, in machine learning the performance of learning algorithms on future data is the primary issue. In this paper we bridge the gap with a general principle (PHI) that identifies hypotheses with best predictive performance. This includes predictive point and interval estimation, simple and composite hypothesis testing, (mixture) model selection, and others as special cases. For concrete instantiations we will recover well-known methods, variations thereof, and new ones. PHI nicely justifies, reconciles, and blends (a reparametrization invariant variation of) MAP, ML, MDL, and moment estimation. One particular feature of PHI is that it can genuinely deal with nested hypotheses

Forming a Hypothesis

Provides pedagogical insight concerning the skill of hypothesizing The resource being annotated is: http://www.dlese.org/dds/catalog_DLESE-000-000-007-442.htm

Strange Pulsar Hypothesis

It appears that there is a genuine shortage of radio pulsars with surface magnetic fields significantly smaller than $\sim 10^8$ Gauss. We propose that the pulsars with very low magnetic fields are actually strange stars locked in a state of minimum free energy and therefore at a limiting value of the magnetic field which can not be lowered by the system spontaneously.Comment: 4 pages, 1 figure, uses LaTeX2e(mn2e.cls) and astrobib(mnras.bst), accepted in MNRA