Abstract
The hat problem arose in the context of computational complexity. It started as a puzzle, but the problem has been found to have connections with coding theory and has reached the research frontier of mathematics, statistics and computer science. In this article, some variations of the hat problem are presented along with their solutions. An application is indicated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Buhler, J. P. (2002). Hat tricks, The Mathematical Intelligencer, 24, 44–49.
Cohen, G., Honkala, I., Litsyn, S., and Lobstein, A. (1997). Covering Codes, North-Holland, Amsterdam.
Ebert, T., and Vollmer, H. (2000). On the autoreducibility of random sequences, In Proceedings of the 25th International Symposium on Mathematical Foundations of Computer Science, Springer Lecture Notes in Computer Science, Vol. 1893, pp. 333–342.
Lenstra, H., and Seroussi, G. (2004). On hats and other covers, Preprint.
Robinson, S. (2001). Why mathematicians care about their hat color, New York Times, Science Tuesday, April 10, 2001.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Birkhäuser Boston
About this chapter
Cite this chapter
Guo, W., Kasala, S., Rao, M.B., Tucker, B. (2006). The Hat Problem and Some Variations. In: Balakrishnan, N., Sarabia, J.M., Castillo, E. (eds) Advances in Distribution Theory, Order Statistics, and Inference. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4487-3_29
Download citation
DOI: https://doi.org/10.1007/0-8176-4487-3_29
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4361-4
Online ISBN: 978-0-8176-4487-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)