N (9) Flashcards

(5 cards)

1
Q

What is the forward likelihood in probability?

A

The joint probability

It is represented mathematically as P(a + -1 (N) | at -1 (i) bj (ot) aNj aij alj a, () a -1 (1)).

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2
Q

What does the backward likelihood represent?

A

The conditional probability

It is mathematically expressed as B+ (j) = P (of+1|at = j,1).

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3
Q

What is the formula for backward likelihood?

A

B+ +1 (N) B + (i) aiN aij ail b; (ot+1) Bt+1 (i) by(ot+1)

This formula illustrates the relationship between the backward likelihood and the observed data.

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4
Q

What is the first step in the forward procedure?

A

aj (i) = T¡bil

This step initializes the forward procedure for t.

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5
Q

In the forward procedure, what is calculated for t = 2,3?

A

a”(i) =

This indicates the iterative calculation for subsequent time steps.

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