๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the minimax decision rules in ranking problems

โœ Scribed by Naveen K. Bansal; Neeraj Misra; Edward C. van der Meulen

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
397 KB
Volume
34
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

โœฆ Synopsis

For the risk measured by the probability of an incorrect decision and under mild assumptions on underlying distributions, the minimax value for a general ranking problem is obtained. A necessary condition for the minimaxity is also derived. Consequently, the minimaxity of natural decision rules, for location and scale probability models, is proved. Minimaxity of natural decision rules for elliptically symmetric distributions is also studied.

๐Ÿ“œ SIMILAR VOLUMES

On rank reversal in decision analysis
On rank reversal in decision analysis
โœ Ying-Ming Wang; Ying Luo ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 438 KB

Analytic hierarchy process (AHP) has been criticized for its possible rank reversal phenomenon caused by the addition or deletion of an alternative. This paper shows the fact that the rank reversal phenomenon occurs not only in the AHP but also in many other decision making approaches such as the Bo

Assigning cardinal weights in multi-crit
Assigning cardinal weights in multi-criteria decision making based on ordinal ranking
โœ Hesham K. Alfares; Salih O. Duffuaa ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 137 KB

## Abstract A methodology is proposed to convert ordinal ranking of a number of criteria into numerical weights. Specifically, a simple mathematical expression is developed to provide the weight for each criterion as function of its rank and the total number of criteria. The proposed methodology is