Sim_Lec_3-1 - Simmm Pro bob‘lfgi Models . (HQ soup: -...

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Unformatted text preview: Simmm Pro bob‘lfgi Models . (HQ soup: - 5&2) - comb numbec of Socceggw an n (ch m‘axs each 00in pmbabiuu, P 01L Success. HL KNE‘U‘UHP)‘ them I Com be wa‘tkvx 0:3 X= :15 whece 1) am cad Bed?) MOW mo¢e\ ' Geomekdc Moée/L. I; flew?) .Ehe‘a X as m {m time W 0k 33CC€83 OCCOVS ‘m 0L we‘ve/Me 0+ C56 HMS each ooCH/x pamwm p 0+ soccess. \n 0W McLs,i¥ 1..L,,m am cad Ngugecqa), t’nw X=minz~n2t1 ln=|‘7 WXNL) = 0-19)" é— {hadrch have k kill/res. . zhhe {lirs’r K *rafls wd‘: le‘es’z. h M: WK‘K) =(I’P)“"-p @VQWQKL me, difilfi/xeqce bdwaen gin and 660- Rsiome 1N Swamp) anal EVGQOQO) fl=Kll={Uua My 001)le od- Firs+ .x‘nen Sucacssé skew: 1I=x9=§m Km in BE! chc&9>wfwir(1 QLfiO‘x‘; (‘6' WW: I c- ~ M P012“ = (Way ‘P (a)-l<',(M-\().‘ FP( 1:741): :)(l‘p)“—KPK :Jmt#o+au wh ‘ Mons +v W 30¢ng Eat): +0 We; fifieOCE) emmgw‘ ® exevocg: can/Wow. Var (I). 962% (my 442 d; (+1 WAGE) ) = 7: UP(91VHP(X=\L) K-‘ 69 h, e233) .7 qk—‘i = pap(e)- f WWW-HM“ Ksl = page; l—qafle) \ _ ¥ V39) — (E (&P(8X))( ’chem vecallfi here ‘9) = €(1am9fl) MWWQ) go WWW): 4E(X"exp(9X)) * w“ 6 W01)(0)= €E(Z‘)<—H\£ \ K‘HA Yum I Th3 Mafia“ WW9) as cal/(6‘1 9“ 0+ . HA e \ \ mowme gflgmfine [manna (m9?) ° Ne.wa BinomiaL‘Tkfl ’fime a4” WW0“ 9‘“: M’W success ocean in a sequemce 0i— 664 Bed?) WMS OCCUC. P(X=K)=(y'ii'.)pw.p>“'“ <— quegkmw) K=$ mcs ________ .‘A N‘T «cm HA: rad \ M‘bi—M ode/“9&6 +0 WWW atrial whom: a,“ mfigo rooh‘am fit but 3% success WAVng 2 succegggs fin ou’roar 1 mm X= whach r;ch Geo(f>) dz! mm = 7“: em) = “40 w M flawwe VM(X) = m VoMTj) @ €E(a\o(913)= @(vMEféfl'fl) Iota): {(09 (49174)) ' E(ap(9T7,)) “‘Q;(ex\o(9Tu)) fl: ( Page) M \‘W- _ l—qexpw) QM H0041 we 003% \P(X>\<) — expmn .‘+ m WORDS, ' xm‘emHaMA)M>° TNEKPU) He) = A9?“ I(E20) A>0 t clemsi+y ftmdfim {Jam ‘ ~Q§(T)= //\ \ + ‘VN‘CT} e—flefase- \vx’rw‘h‘ +v whack " d4 ‘ odd} Le/‘c KM): 45+ Hm), M A success oucng CH a sequence of— éc‘A Bet (’Vn) . Them Km) n CytoLA/n) Man): “A. ‘ “A‘mK 0+ '4' 0-3 Xcm : tnAeA o+ fivvxc TM) 1: X6“) /y\ < WNva ou— ubkiak \s’r WSWY‘NEV awivu to a Shaw: » measomd Q“ Dq—{n-ci , Scooués, \P(T(V‘)>H '" PLX’M) WW) Tm) = samcas Xcvm' ‘ “‘— 4 5|)" :. .. M ‘ G )er >-> 0p (4+) “33:2: “3‘36” NOE! T10 EXp 0‘) ,erm P(T> “6) =JrexpC~A9 d3 = exp 01*) o \n hams 0—} moddan- meemfiout W‘s am fimflmr ha Geome N's -—t'ht diH—twtwc Cs \‘n Hm: scaling, ' 'Mflmo \ess M 0+ Ei owemkiod rv‘g Hmtgficaflgi.‘ YP(T>H5 lT>g) = ‘p(T"’*$) : {up —A(H5)) [P (T8) we») ‘ up (—AH = VP(T>+) ' Poisson moéd N N Rpis (A) MN Pais (A) ,M disfvtlbo’vté i}? Rfissm bow" wwwefifl)‘ K —- )s K’OI’IZ‘IH. 'wkork does Risson rv Model? (2; 1m =vxumber 0f succegsas in a sequence 04 04» men Mr M Be: ()Vn) ’> 1”” N EM 0" I M") . W ’mms ou\"- FP (Khakk)? e K)! :P{M=K) ...
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This note was uploaded on 10/03/2011 for the course IEOR E4404 taught by Professor Marianaolvera-cravioto during the Fall '08 term at Columbia.

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Sim_Lec_3-1 - Simmm Pro bob‘lfgi Models . (HQ soup: -...

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