Pith. sign in

REVIEW

The Analysis of Data from Continuous Probability Distributions

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv physics/9706015 v1 pith:HXECRBQB submitted 1997-06-10 physics.data-an

classification physics.data-an
keywords datadistributionlikelihoodprobabilityanalysiscalculatedcontinuousconventional
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Conventional statistics begins with a model, and assigns a likelihood of obtaining any particular set of data. The opposite approach, beginning with the data and assigning a likelihood to any particular model, is explored here for the case of points drawn randomly from a continuous probability distribution. A scalar field theory is used to assign a likelihood over the space of probability distributions. The most likely distribution may be calculated, providing an estimate of the underlying distribution and a convenient graphical representation of the raw data. Fluctuations around this maximum likelihood estimate are characterized by a robust measure of goodness-of-fit. Its distribution may be calculated by integrating over fluctuations. The resulting method of data analysis has some advantages over conventional approaches.

Discussion (0). Continue with ORCID to comment.

Pith tools