Joint types can often be given in terms of the type of x and a stochastic matrix \begin{equation} V:X\rightarrow Y \end{equation}such that $ P_{x,y}(a,b)=P_{x}(a)V(b|a)$ for every $a\in X$ , $b\in Y$. The question is that how can we define $V(b|a)$ as conditional type given x and what is the V-shell of x denoted by $T_{V}(x)$?
Types and Typical sequences
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statistics
information-theory
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0The type of a sequence is usually defined to be empirical frequency counts of a sequence, but you seem to be referring to probability distributions as types - can you clarify? Also, what is a $V$-shell? – 2012-07-07