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Fix minor typos in markov_chains_I
- Add missing space: "distribution(probability mass function)" → "distribution (probability mass function)" - Fix label typo: prob-recesession → prob-recession Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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lectures/markov_chains_I.md

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@@ -347,7 +347,7 @@ P(x, y) := \mathbb P \{ X_{t+1} = y \,|\, X_t = x \}
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By construction,
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* $P(x, y)$ is the probability of going from $x$ to $y$ in one unit of time (one step)
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* $P(x, \cdot)$ is the conditional distribution(probability mass function) of $X_{t+1}$ given $X_t = x$
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* $P(x, \cdot)$ is the conditional distribution (probability mass function) of $X_{t+1}$ given $X_t = x$
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We can view $P$ as a stochastic matrix where
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```
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```{prf:example} Probability of Recession
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:label: prob-recesession
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:label: prob-recession
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Recall the stochastic matrix $P$ for recession and growth considered in {ref}`Example 1: Economic states <mc_eg2>`.
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