For many complex systems, analyzing the exact performance can be challenging and even analytically intractable. In many such situations, inequalities are used to bound the system performance. Such bounding techniques are frequently used in communications to derive closed form approximations for the performance of various systems. The closed form approximations clearly demonstrate the effect that changes in a certain parameter has on performance. These inequalities are also used in learning theory to study the problem of optimal model selection for a given training data. A detailed discussion on using inequalities and large deviation theory is given in Chapter 9. In this section, we discuss in brief some of the frequently ...
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