The fall semester 2010 I teach:

STK4030/ STK9030 Modern Data Analysis.

General professional interests.

• Linear model theory; more generally: the theory behind methods that have proved to be of practical importance.
• Methodological solutions like restricted maximum likelihood, that have turned out to be good without having been arrived at through general theory. Problem areas like multiple testing and model selection where no canonical solution is offered by general theory.
• The interface between statistics and a variety of other areas like chemometry, neural nets, machine learning theory, complexity theory, quantum theory and stochastical analysis.

Specific research interests.

• The statistical interpretation of quantum theory.
• Regression methods and classification methods for cases with a large number of explanatory variables (classification variables).
• The use of symmetry considerations in statistics.
• The choice of conditioning in statistical models.

Publications and Curriculum Vitae.

Curriculum Vitae with list of publications

Book:

'Steps Towards a Unified Basis for Scientific Models and Methods'.

The book has now appeared on World Scientific, Singapore. ISBN-13-978-981-4280-85-3; ISBN-10-981-4280-85-2

My first claim is that the book raises an important question: Is it possible somehow to find an ultimate objective science concerning how to acquire information about the real world? My strong conviction is that we then have to go beyond the single scientific disciplines and think across disciplines. My second claim is that the book may offer some first steps that can be taken on the way towards such an objective science. My third claim is that this seems to give a new derivation of and interpretation of important parts of quantum mechanics. My fourth claim is that this also can lead to some renewal of aspects of statististics as a science, aspects that have relevance to applications. My fifth claim is that thinking across cultures also is extremely useful in other areas of human endeavour, even though it may be difficult.

Here is a list of the errors in the book that I know up to now.

I would be grateful of others who spot errors, send me an e-mail. I will also really appreciate any discussion contribution connected to the themes of the book and to the solutions presented there.







Last updated August 20, 2010.