Teorema del limite centrale
Transcript
Teorema del limite centrale
# ! " $ ≥'( % ) & % *! + ! ) " ! # ! " +(,- .,(#/ 01((23% % " + ! !" 4 11,(×((231(23 *"4 5 5 1(6 ! 7!,(((( 1,(1((23 ,(((( + (2899 ,(((( 13 (2899 (23 + % ,(((() +/ :) 7 ! / 1,( ! ,(((( 1,( (2822 ; 41,(( 1,(() ,(((( 1,(( (23(- # ! / →∞ : / 1('1,(( →∞ + <1,((1(' "# $% $% & 5% ! !! + "4 & − = " <"4 = − : "# +% $% & ' ' ( ) )( * " ,"- & × , " ' ' , × ) ε4 ! ε = = ! × ε ), 5 ! #% 0=> ' ' 1-31(8+ ∀ >∞?? @∞ − ≤ = < →∞ π "≤6 ∫ 16!" − ) 1-31(8 A (3 ) 4 ≤61(-2'3 161(,-(( 5 ) (-2(, ( ≤ ) ≈ ( ≤ ) − − ( × ) = ≤ × × = ( ≤ ) = B≤61(-2'3C 5) 5" 16 )B2363C ) ! 2363&! ) "6-3 ! " 1(8 − ( × ) = = × × ;!) = !B161(,-C − ( × ) = × × (− ≤ ≤ ) = ,(D *)4 " = 8(( ! '( − ( × ) = × × ( ≤ −) = * ,(( , 3(D ,(( ; " (3 " #" 33D , ,((! ≥(33 + 4 1,((1(3 = − − = = × 7 " * ) ",( ,(* ) ) 4 89 ( ≥ ) = − ( × ) = = × × * 3D = ! − ( × ) = × × +,9( ,33 "" (− ≤ ≤ ) = ! − ( × ) = = × × + ( ≤ ) = +,-≤≤,9 13(1(' ) * -8+ " 68 68