The basic goal of quantization for probability distribution is to reduce
the number of values, which is typically uncountable, describing a
probability distribution to some finite set and thus approximation of a
continuous probability distribution by a discrete distribution. Though the
term "quantization" is known to electrical engineers for the last several
decades, it is still a new area of research to the mathematical community.
In my presentation, first I will talk about the basic ingredients that one
needs to work in this area. Then, I will give some examples, and talk about
the quantization on mixed distributions. Mixed distributions are an
exciting new area for optimal quantization. I will also tell some open
problems relating to mixed distributions.
|