( ;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