### Definition of Minimax

1. Noun. In decision theory, game theory, etc. a decision rule used for minimizing the maximum possible loss, or maximizing the minimum gain. ¹

2. Verb. To find the optimum play, or decision, to achieve minimizing the maximum loss. ¹

¹ Source: wiktionary.com

### Definition of Minimax

1. the minimum of a set of maxima [n -ES]

### Minimax Pictures

Click the following link to bring up a new window with an automated collection of images related to the term: Minimax Images

### Lexicographical Neighbors of Minimax

 minimallminimallsminimallyminimalsminimandminimandsminimansionminimansionsminimarathonminimarathons minimarketminimarketsminimartminimartsminimax (current term)minimaxedminimaxesminimaxingminimentminiments minimetropolisminimetropolisesminimicrophoneminimicrophonesminimifidianminimikeminimikesminimillminimills

### Literary usage of Minimax

Below you will find example usage of this term as found in modern and/or classical literature:

1. Mathematical Statistics and Applications: Festschrift for Constance Van Eeden by Constance van Eeden, Marc Moore, Sorana Froda, Christian Léger (2003)
"In this paper we consider minimax estimation of a bounded parameter. The minimax principle is, at least from a theoretical point of view, very important. ..."

2. Adaptive Statistical Procedures and Related Topics: Proceedings of a by Herbert Robbins, John Van Ryzin (1986)
"Some general results relating to Bayes and minimax rules as well as the minimax value are obtained. Applications of these results to particular problems are ..."

3. A Festschrift for Herman Rubin by Anirban DasGupta, Herman Rubin (2004)
"minimax estimation of a restricted exponential location parameter, ... minimax estimation of the mean of a normal distribution when the parameter space is ..."

4. Higher Order Asymptotics by J. K. Ghosh (1994)
"A lower bound to the local minimax risk. Consider the setup for Theorem 7.1 and let the interval (a, b) be (00 + 8, 00 + 8). Then the local minimax risk at ..."

5. Optimality: The Second Erich L. Lehmann Symposium by Javier Rojo (2006)
"Keywords and phrases: locally asymptotically mixture of normal experiment, local asymptotic minimax risk bound, asymmetric loss function ..."