LE66E bEt 6KAÀ/)rruU MEKI - unipr.itdirenzo/ModSim/GrandiNumeri.pdf · 4 Ricorde*o i ConC chiave...
Transcript of LE66E bEt 6KAÀ/)rruU MEKI - unipr.itdirenzo/ModSim/GrandiNumeri.pdf · 4 Ricorde*o i ConC chiave...
4
Ricorde*o i ConC chiave ?6 rn qso òvvurffio Jolt.ruU MEKI(ad ou"po E. l/afsJ,
T;""ffi1'"b"b'liF,LE66E bEt 6KAÀ/)r
inna^at"So
S?eRnlzne- VA(I ANZA
Richiòmièmo
)aT"
In bTSUEUAGLIAÀ/ZA J CEBTSEY'@
l4*Tfuiqlrct H txl - rrrx = J* fftlJ"1OO
"oobtxl = \ = \ (--rn,)'"{(t)Jr-Oo
e u,^n q,,r,"tslasi o( >o
LnPR06ABtttY^'cheXJcv.Jai{rs{{sSPEAA^/zAHArE}a*rtrx
norvtîcno Ji X { LIH(T/+TI do b,A'
f^t'th P(rx-rn,.t>;)= t -f(.)a'lx - rhx l>o (
@ e o
b- =-f{*-*")'+(r)Jx =_f l"-n*l"f(,.)rr } [ tl-"'*l'f (*t;*It-ru*l r.(
D,.(z f tr-*.t'{(-lr. ) Z 'r',J {al l. = o(z P({x-'"lt"r )it-mrt:.( llt-thrlz{
e J*qn.
J! L r Jt tugnn3lilurzr J' (eby sw
Es" P (rx -mxl?,
vn*fr. Pgn L,q 6'tu sS [,4't/A
J.r Soto t't"nr
3 u-z) < D":r l
LIMITI SUPE((O(F!
t ' { t
P (tx-m.l>a)
q,rcito prob"lbiiilí I ^'' 3'10-3 jl '
2_
brM,." Atgn"S,tòneÀ t oftre,,nr" i[
Pt,*a Ji latt-0... Sia X-*n VAftr*BILE ALEATOKIA (onL
Eff"ttr^u'notyt PROVT L rcaisfnvmo i *ryb'f X^,X4 "')
(o'n:rdt tvmo ls ['tEbrA AKtTPtETt cn
Fu,vztO,tle Lt/vE/q{É JJt.
TEoRrun J" cE6(sgv(ueeu Jri 6frA^/5t tuot{ERt)
14 [X1=YY1"blxl =D^
X,v- ,
(J)vA Ar A B ir-r til bi PelDr,vrr x;
urV= LZ X,. rYl j=t
Essn í u/ ù
e J*y. [a Sur SPE(AÀ,ZA HATtrr4,4Tic,{ tr-r'tc
nr = t4lvl =(4 t *, {G,) r", ) *u) -s
m",g,. la sqa VA (t {NZA
bt = b[V] =
= *Zl1[xi l = *^*r=^r
(*), ttl,l <l4
fi?. i--,1btXrl = +
Cioc
(*) At{-,,u'a,snt t
b I xtvl?ro,r$" a prt t\ confo ! io'rq,,r..tt chc ad eswuflro
= blxl t btYl + z K*yL> COrAATANZAKut =_[ (r,-'.X1 -nr) fGn)Q
rh: K", = 0 fr VARtA6,t, ,l'b,fErotl/r|
b t ?o. Xol = Z ai' \tx,l, /
hnonts'fo 1"ts Jre'fico "'
f01 = fix\0"Df=1i
tVrt" tnoftrc r,trc (Xt ir,/.fra*fi )
3
?ÉK,vì, SUFFICIEA/TENEfuTE GKA,t,bE
ttEUtR i+fttTt',tErrcR b\ ur/A t/ARtABltE
?ft0 bAb\t-tTA' Atr"n suA SPEftAilZA
J.i PflOvE tCIDrPE,VDerun fr
ALEAToRI* (ol/ERGE utt
MnrrnnItc4
[,r\-
X" (onv, ̂ -zP ( t Xru-o" l c e )io probaLititf r/ a
P ( t*+xi-/'|vr,r \ , sl<: \7rat t
lY t l= f l l x e Dr=*
P (tv-rr l>rr) < -Dr- = D^t" n lz
)
I'{rh Y =
e J*y.
fr ZXi hr
( C.U1 scv )
r r l
c Jurn lut dstr 1,,tet nnx e . F trosro Íornr. il-'- *" ,,
./V,8. T.o J' CEtsvspv GEAEffALtzzATo Y X,' X, "'. X^J^ Sfu.mot. fix, fir" '.' rllxa
. VJMè*zc br . b r . " 'b r ' , V 'b t , 'L i
mc&to sri'tit,,,$.cr (ovrVw3c Oltr mtdat vifrt't$icr "h't{t lvytxù""la
ó
-|RATTAI'4E/VÌ0 "t' bAT-r SPEft t t4ElJIA L I
L.ù _ /
* /WL
O-L
o-e
NaN 5t sTofrTA
EFF{ CE//TE
)tau*,0 clne ttf\crmu# fid{t1o inil-U"tt* o
L V,46,t AÀIZA ), fr s s uvnr J4/Yr o co'wt ( s{,vne
" bobhù//no vivofe " coon un nu,uuro f;ni'tn ù pfovt ',,
D I SY&t bUztQ,VE (*g,.n**th. S?en.. [4/qn (- D'V,{fit,q,uzn )
nostre STUTE Svrs'nno Ytl uztatt{ Jgi' lX; 3'
étrchilvno ú,t^ò S[\MA t (X' , X', "" X' )
<.uvrò STtltA
u/nt SrtflA
(,ùvtr 5f tH'4
ùSuut ò^îno J^' , nao rranialo",lc
e VoGLt Al40 sil ${ ARE
vtca*onra X i ú;4oni osstryc'tl Xr "' X^
i PA8'A rtEtKr J^/,t. ru+ LEGE J,'
b.lt u,rn f ;xa*r ffto
(offftETrA sL (ft ,nnao") (oNV. rn PnOg.rq-*
se L|lttl=q-)H
S,rrore HEll^ n
sc abbi r4/vro i rtYtotr 1X; 3
("0 - ffi)"5=- ) l/ r
i
LM
Llul-4
. , " t - . - - - - r i r , . - - i . , t ;
, ' : . , , , . ; . , , : . , . , , . . , . , ' , . , : , . , 4 . , ' . , : . , . ' , , - . , , , . 1 ' ' . '
#*# ft
: : : r _ :: . . . . ' . . . . : ' ....,, ,:,:.bl
r t ' '- '--' -
tht-* n*"*oou**
e is:Stt& vr+tr l$f tZè.
#'m in{c{r #L l;: ,i ., #*ÀJ Él ,
- -t"t'
'$fiiou fas*:
_ i . : l
l : r - :
Eì
: I r : . j . . : : 1 1 : : : . , - i .
t . , ' 1 ' . ' . ' , ' . . t ' '
. r : , i . : r r , : a t l
È " . ' , . : f
l]",'
F**
* b = l'1 [X'J m" r svtè i br 5f1flTr+ , ,
t ,t SSttfl'taÈwtO' , . 1 . . , ' . ' ' ' , . ' , : 1 , , 1 . , , , . , . . , , 1 , , t , , . ' , :
, )* = *+ot,*,? x" ft.ft *t, = #7x:-zrr"frxx;Oea HtX,'l
; nt1'l =b' è.' Hlxrxi]=H1x'*rl=*.'
r'L> #u* &g.1t".i€l{è r*nlh, Si,*nî,'!re *,fic, ggo{.'nt* :
:,.: , :4:
,...f,.,,ì: ' ' i t ,
1': l l ' : , , ,:: : i :,rlr.
"$:::.a.;::t
e d*lq*- ' ' ' i t t l " '
=ilffi"b;*iffi* C-,,ii;
o$' . ^ t , l ' '',b, = #
. , , , ; . ' . , : 1 ; . . . , .
, . - . : : t - t t : _
$,f.,* tzfr;t íoT
| ',: . ' .1
. . , . : ': : " - 1 :
6
ilo* tbbionno rncDrs unu4ao{Stn .[ TEOflEHA LlHtlE CE/Vì-RALE :
gsjo hs d e,. fo. covt lc iq3i J^ J^ tt'1 boao"t* "
Én.uc;;,w,,ovtc- la {ocmo tri,r se,rrvrpl,<g
S. f,nr X., ,,,, X, twro VAfff A$rUt A/"EAIofflE l,t/)iPE,VbEilT,r
sve,u* [-t s1-ess* LE66E 5r bt sT-Rttsuzlo,1/E / s?Eff" M,&T. r1,r (
VAft TANZA T', el,tora
LA LE6úE br blsrtrouz. J*1,t. Sctfin Y^=*,f,
Tf,VUf lÀJbEFrl,rtnHEruTE (f rr+oo) $. lEGe Nof,,úL*rE
No* u n$**1"*o s,.^ l*'itb (f*/**fu{"1 nr.,tiffq 4i s,/ls srdr
(.q", prob$tl.). ?u( n
[ =
ioo*"\s?^a^Ar ewrginc.r (rk n./tq( .,. ) n"t c/jào J,ft E (K0fi, t frEKl HE/r4'u.,
J^ Lu\a |4 t SU ( A : Silt(ovrilyn o d'rL fxr ur,r" rvxiiLÍo ps-ry*o v* f-,' úry;t
rn C,rron , GòStunr Sor3rffe efivndfr Y"ta à" fv dtutwe "h + € o tlt' -e
co,,' $*te gt"bùit'K ?= +, Es" ft\= 4r f olnb,ti ns,{l{./ì' X t e
Jovrwi co i[ ri julbto :'ov.vn.o so.í
X+ yt (,vr-u)e = X"(zv-n)eJ, | >(nr-u1 c,h - a
) / Crx +t
) = Br, y, Q) (, v"ou^so*u' in ,u flroúq@t^ p= +.,.)
0.. ?r"b (! eroa +e
7
0.^ r l -l ly=Y6PU-P)= wrc.ntre {= X * Qv-M)L
èvrí {y-- zaY, = t'{tL
\Iil2-
ft ti,nùe
Otfo rt ne/
rhe ot
fuu so
.J-tn\r,,lcssrí 1ue/,{o J,i trytol+' (n*'eo7 pccok (*>o)
J^
Tnr qu.fo [i,note- 1to]hùrno evr,lfhrìCJrn urf,A l - , - - \
vtdsre cW la
J^f.buac,'',te *wd. .ú uflè 5,èuttlò/nÀJ^ u"ta. m"d^o X
(q,t*trf,. Jsr, X )
x = *+",L ['aor"r. I>t= & =tffi
t[Î \ v(r-,) i
_Ae T" Fbstnz.r J^ ERffoffE SISTEHATI Co a-xr,ra
A-xtn, = I (;x)"*@ffihVrcu r,t* ru quA\(,{Td (4
Ui = Éfm ftss* nc,^ t,vnifi Alicx e e->O