Describe the mistake
On page 177, in the description of equation (6.8), it is stated that the random variable $X : \Omega \rightarrow \mathcal{T}$ "maps states to outcomes".
However, on page 175 (where $\Omega$ and $\mathcal{T}$ are first defined), elements of $\Omega$ are called "outcomes", and it's written that, "In this book, we refer to ... elements of $\mathcal{T}$ as states". Thus, the description on p.177 contradicts the convention that was committed to on p.175.
This inconsistency leads to unnecessary confusion upon a first reading of page 177 and equation (6.8).
blargoner
commented
3 months ago
Describe the mistake On page 177, in the description of equation (6.8), it is stated that the random variable $X : \Omega \rightarrow \mathcal{T}$ "maps states to outcomes".
However, on page 175 (where $\Omega$ and $\mathcal{T}$ are first defined), elements of $\Omega$ are called "outcomes", and it's written that, "In this book, we refer to ... elements of $\mathcal{T}$ as states". Thus, the description on p.177 contradicts the convention that was committed to on p.175.
This inconsistency leads to unnecessary confusion upon a first reading of page 177 and equation (6.8).
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