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- Title:
A New Form of Jensen's Inequality and its Application to Statistical Experiments
- Document type:
- Zeitschriftenaufsatz
- Author(s):
- Nonnenmacher, D., F., J.; Zagst, R.
- Non-TUM Co-author(s):
- ja
- Cooperation:
- national
- Abstract:
- Jensen's inequality for the expectation of a convex function of a random variable is proved for a wide class of convex functions defined on a space of probability measures. The result is applied to statistical experiments using the concept of Blackwell-sufficiency. In particular, we show a monotonicity result for the expected information of Poisson experiments. As an application to economics we consider the introduction of new production technologies.
- Intellectual Contribution:
- Discipline-based Research
- Journal title:
- Journal of the Australian Mathematical Society, Series B
- Year:
- 1995
- Journal volume:
- 36
- Journal issue:
- 4
- Pages contribution:
- 389-398
- Language:
- en
- Key publication:
- Nein
- Peer reviewed:
- Ja
- International:
- Ja
- Book review:
- Nein
- Commissioned:
- not commissioned
- Professional Journal:
- Nein
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