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**Gaussian.tex
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[]\OT1/cmr/m/it/10 Joint like-li-hood\OT1/cmr/m/n/10 : for a set of in-de-pen-d
ent iden-ti-cally dis-tributed (i.i.d.) sam-ples, say $\OML/cmm/m/it/10 X \OT1/
cmr/m/n/10 = \OMS/cmsy/m/n/10 f\OT1/cmr/bx/n/10 x[]\OML/cmm/m/it/10 ; \OT1/cmr/
bx/n/10 x[]\OML/cmm/m/it/10 ; [] ; \OT1/cmr/bx/n/10 x[]\OMS/cmsy/m/n/10 g$\OT1/
cmr/m/n/10 ,
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[]\OT1/cmr/m/n/10 As in our case the sam-ples $\OT1/cmr/bx/n/10 x$ \OT1/cmr/m/n
/10 are two-dimensional vec-tors, the dis-crim-i-nant sur-faces are one-dimensi
onal,
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[]\OT1/cmr/m/n/10 initial \OT1/cmtt/m/n/10 MEANS \OT1/cmr/m/n/10 val-ues equal 
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