Inge Helland

University of Oslo, Department of Mathematics, Emeritus

Followers

Following

Co-author

Mentions

390

Public Views

Inge S. Helland was born on June 14, 1947 in Bergen, Norway, and took his
cand.mag (bachelor) in mathematics and physics at the University of Bergen in 1970.
He spent a research fellowship at The Niels Bohr Institute, Copenhagen in the fall 1971, but then turned into statistics, and took his cand.real. (master) at the University of Bergen in 1973. He was University fellow at the University of Bergen from 1973 to1978, including a research stay at the University of California, Berkeley in 1977 and 1978.
Then he was associate professor of statistics at the Agricultural University of Norway, later Norwegian University of Life Sciences from 1978 to 1983, and full professor the same place from 1983 to 1996. He obtained his dr. philos. degree from the University of Oslo on limit theorems for stochastic processes in 1980, and was professor of statistics at the University of Oslo from 1996 to 2012, when he went into an emeritus position. His research covers a large area of theoretical and applied statistics, including proposing a statistical model connected to the chemometricians’ partial least squares algorithm. Helland is married to Anne Kristin Helland, has two daughters and five grandchildren.

less

Uploads

Papers by Inge Helland

A Unified Scientific Basis for Inference

arXiv (Cornell University), Jun 22, 2012

Every experiment or observational study is made in a context. This context is being explicitly co... more Every experiment or observational study is made in a context. This context is being explicitly considered in this book. To do so, a conceptual variable is defined as any variable which can be defined by (a group of) researchers in a given setting. Such variables are classified. Sufficiency and ancillarity are defined conditionally on the context. The conditionality principle, the sufficiency principle and the likelihood principle are generalized, and a tentative rule for when one should not condition on an ancillary is motivated by examples. The theory is illustrated by the case where a nuisance parameter is a part of the context, and for this case, model reduction is motivated. Model reduction is discussed in general from the point of view that there exists a mathematical group acting upon the parameter space. It is shown that a natural extension of this discussion also gives a conceptual basis from which essential parts of the formalism of quantum mechanics can be derived. This implies an epistemological basis for quantum theory, a kind of basis that has also been advocated by part of the quantum foundation community in recent years. Born's celebrated formula is shown to follow from a focused version of the likelihood principle together with some reasonable assumptions on rationality connected to experimental evidence. Some statistical consequences of Born's formula are sketched. The questions around Bell's inequality are approached by using the conditionality principle for each observer. The objective aspects of the world are identified with the ideal inference results upon which all observers agree (epistemological objectivity).

Inge Helland

Uploads

Papers by Inge Helland

Log In