Downloaded from https://www.everyspec.com AMUP /06 1011 plcning without limi|an assistance are vvery l h probalhility mase•5 Imction ,i/! is Small. he sk cpiclo.ii that tile dalua i'-v 1)(11 fully legitimate. pin i f k.. ki z;pIl),, N J (pLL,•14 /) More inlurinatium un graplhcul ulhUIysis ib .- 15) given in RutM. 2'-29. This symmetriC' 114111| is 4-1hy 10• r170l1011i.10, 2.3 ANALYTIC ESTIMATION OP PARAM- ETERS OF A DISTRIBUTION '1la• mncus and vaialtlncvs arv 'lltis m at erial I% cove red I ll detail il i rl E {kII N J 1 f or i -. . 2 Six, Mathlhematical *4,pndx aid (;hl',rv.
Some of the inaterial is summadizd here for V a' kl) N- p I p (2-17) veay rrraernce, It is often worthwhile I)lOt tling the sample result. front u a.ntinuuis l1110 usual itittisfk.,1 ploblui|l Is ho •,sillillitc distribution oi gruph paper as i•ctioned l 1 often It is simplest to 0stimate par. 2-2. ThI% ought to be done betore tile Smaller of tho two, es,•lchihly sillee Con. analyttic estimation, vunienil approxinations ate appl)lctable whem the Ili being estimated Is Mmiull, hi roliubihlty When the rundum variable Is diturctu, ,'s.
work, the 2 cutegorivs tare usually-Gooud, Bud confldealўce limits are mior dillicult to use (or someothitng equivalent), Since tlia fractionl and their exact stutement is more cOmpli)l Bud is ordlrarily smalul 1tl' not, thi lack of cated. prueiuan in estimatlin tilut rac'rtion is of little concern), it is the ilmrunicivr to be usti,- 2.3.1 BINOMIAL rmated. T'he maximuir likelihood tnhilused The dillrinte ra hildoia vurialc k. is the iis- bor of ocvurrucc•)f ail a attribute ill N v- ; Independent trials, when the attribute must 'W. (24 Ib in either of 2 multUally exclUhive CUteUD- *s-C fdence limits tart somewhliut difikcult riet. ;) ;lc'u c, If Ili * 0.
1 alld N > 10, the Poisson anliiiiutloll (par, 2-3.2) is istall'y Us" tHi followin notatmitlon adequat6e and Is it.Nier to use., If lhi is .isil A numer ofe, tiubTle 41 Oflt, J1 30 tihapter V ,, A. 2 number o1' trils with result lof' Rel, IN will give idequate itaiswezis, hi #1 or r'+ult #2, respectively that hituation (N -э IU, p -o U. I It. ungineer p , probability of result #1 or really ucre exactly what the situation IN P, reulity respel' # 1 Par Iause (it) p)ruobabillties t' Iatlurore gremert.
restalt #i , revperttvrly in mmdI than O, I are geeully bad, andit (b) the tilt- tinid every trial xrttulhty ill 1 Iis going to be so high that It is usualily poliilelA (flol igilaoiorm) mt liake N n nullulmr ofm-llndopondonm trials exact caleulalIonsol. If a Colnthac1 mil lelatioln- sMip is iivolved, 11 xl itktl llua Olmltll to lIe IliT auxiliary relationships arLe onailuted. For very rough wstimaexs Ol' un- cetallity, Ueslmitt, 6 I'rmul hI. 2-17 uhing ki + h, N/ Zlla} l t i 1 (22-141) - (2-1) , ,t [ ,m n- t, .. m.. l...... . . .... ... ,.. '