Abstract
This chapter includes two applications of the large deviation theory presented in Chapter 21. One concerns an application to a problem in cryptography in which, among other motivations, hackers attempt to break a password by guessing. The other is an application to the efficiency of large sample statistical tests of hypothesis.
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Notes
- 1.
This example is based on Hanawal and Sundaresan (2011).
- 2.
See Bhattacharya and Waymire (1990, 2009), pp.184–189 for a related treatment of Shannon entropy.
- 3.
The textbook by Cover and Thomas (2006) provides a good foundation for the general concepts and results encountered in information theory.
- 4.
- 5.
- 6.
- 7.
Bhattacharya et al. (2016), Chapter 8.
- 8.
- 9.
Abrahamson (1965).
References
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Bhattacharya, R., Waymire, E. (2022). Special Topic: Applications of Large Deviation Theory. In: Stationary Processes and Discrete Parameter Markov Processes. Graduate Texts in Mathematics, vol 293. Springer, Cham. https://doi.org/10.1007/978-3-031-00943-3_22
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