aBKTH2t amKK `v aBKTH2t amKK `v XXXX XXXXXXXXXX ......XXXX JBtim`2 XXXXXXXXXX aBKTH2t...

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(; π, φ, η)= =1 π (; φ , η) π φ η = ( |π, φ, η) = ( |π, φ, η)

Transcript of aBKTH2t amKK `v aBKTH2t amKK `v XXXX XXXXXXXXXX ......XXXX JBtim`2 XXXXXXXXXX aBKTH2t...

  • ( ;π,φ, η) =∑

    =1

    π ( ;φ , η)

    π

    φ

    η

    =∏

    ( |π,φ, η)

    =∑

    ( |π,φ, η)

  • ( ;µ,σ2) = N ( ;µ,σ2)

    µ σ2

    µ̂ =∑

    =1 /

    σ̂2 =∑

    =1( − µ̂)2/

    µ1, µ2, · · · , µσ21 ,σ

    22 , · · · ,σ2

    + 1= 2

  • ( [ ])

  • ( |µ,σ) = 1σ√2π

    [−12

    (− µσ

    )2]

    ( | ,π, µ,σ) =∑

    =1

    π ( |µ ,σ )

  • =∏

    ( |π,π, µ,σ)

    =∑

    ( |π, µ,σ)

    0 ≤ π ≤ 1∑

    =1 π = 1

    π

    0 ≤ π ≤ 1∑

    =1 π = 1

    ∈ R −1 = 1, · · · , − 1π = 1

    1+ −(1−

    ∑ −1=1 π )

    π = 1−∑ −1

    =1 π