A UNIFYING PRINCIPAL IN QUANTIFICATION THEORY

Pattern Theory: A Unifying Perspective

The term "Pattern Theory" was introduced by Ulf Grenander in the 70s as a name for a field of applied mathematics which gave a theoretical setting for a large number of related ideas, techniques and results from fields such as computer vision, speech recognition, image and acoustic signal processing, pattern recognition and its statistical side, neural nets and parts of artificial intelligence ...

A Unifying Theory for SIDS

The Sudden Infant Death Syndrome (SIDS) has four distinctive characteristics that must be explained by any theory proposed for it. (1) A characteristic male fraction of approximately 0.61 for all postneonatal SIDS in the US; (2) a distinctive lognormal-type age distribution arising from zero at birth, mode at about 2 months, median at about 3 months, and an exponential decrease with age going t...

A sketch of a unifying statistical theory

A new statistical theory is outlined which builds a bridge between frequentist and Bayesian approaches and very naturally uses upper and lower probabilities. It started with an attempt to investigate how far one can get with a frequentist approach; this approach goes beyond the Neyman-Pearson and the Fisherian theory in explicitly using intersubjective epistemic upper and lower probabilities al...

Towards a Unifying Object Role Modelling Theory

In this article we briefly present the idea of defining a kernel for object role modelling techniques, upon which different drawing styles can be based. We propose such a kernel (the ORM kernel) and define, as a case study, an ER and a NIAM drawing style on top of it. One of the prominent advantages of such a kernel is the possibility to build a CASE-tool supporting multiple methods. Such a CAS...

A Unifying Theory for Psychiatric Diagnosis