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miage_solution:solution_kodja_markov_2_etats

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====== Differences ====== This shows you the differences between two versions of the page.

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miage_solution:solution_kodja_markov_2_etats [2017/01/08 19:42] melancon |
miage_solution:solution_kodja_markov_2_etats [2018/01/21 20:13] melancon |
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$$ | $$ | ||

- | P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \& X_0 = 0 \& X_2 = 0)}{P(X_0 = 0 \& X_2 = 0)} | + | P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \cap X_0 = 0 \cap X_2 = 0)}{P(X_0 = 0 \cap X_2 = 0)} |

$$ | $$ | ||

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$$ | $$ | ||

- | P(X_0 = 0 \& X_2 = 0) = P(X_0 = 0 \& X_1 = 0 \& X_2 = 0) + P(X_0 = 0 \& X_1 = 1 \& X_2 = 0) | + | P(X_0 = 0 \cap X_2 = 0) = P(X_0 = 0 \cap X_1 = 0 \cap X_2 = 0) + P(X_0 = 0 \cap X_1 = 1 \cap X_2 = 0) |

$$ | $$ | ||

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$$ | $$ | ||

- | P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \& X_0 = 0 \& X_2 = 0)}{P(X_0 = 0 \& X_1 = 0 \& X_2 = 0) + P(X_0 = 0 \& X_1 = 1 \& X_2 = 0)} | + | P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \cap X_0 = 0 \cap X_2 = 0)}{P(X_0 = 0 \cap X_1 = 0 \cap X_2 = 0) + P(X_0 = 0 \cap X_1 = 1 \cap X_2 = 0)} |

$$ | $$ | ||

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$$ | $$ | ||

- | P(X_2 = 0 \& X_1 = 0 \& X_0 = 0) = P(X_2 = 0 | X_1 = 0) P(X_1 = 0 | X_0 = 0) P(X_0 = 0) | + | P(X_2 = 0 \cap X_1 = 0 \cap X_0 = 0) = P(X_2 = 0 | X_1 = 0) P(X_1 = 0 | X_0 = 0) P(X_0 = 0) |

$$ | $$ | ||

$$ | $$ | ||

- | P(X_2 = 0 \& X_0 = 1 \& X_0 = 0) = P(X_2 = 0 | X_1 = 1) P(X_1 = 1 | X_0 = 0) P(X_0 = 0) | + | P(X_2 = 0 \cap X_0 = 1 \cap X_0 = 0) = P(X_2 = 0 | X_1 = 1) P(X_1 = 1 | X_0 = 0) P(X_0 = 0) |

$$ | $$ | ||

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[[miage:td_analytique|Retourner au TD]] | [[miage:td_analytique|Retourner au TD]] | ||

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miage_solution/solution_kodja_markov_2_etats.txt · Last modified: 2018/01/21 20:13 by melancon

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