Probability and Statistics III, Lecture notes of Probability and Statistics

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ay w | ete o eo =Th order +0 make Inference about +e populatien we bate take a somple from We poputertron. ~Two IM portant probleme iy eotectreed influence are echimerten and techro OF hupeothesie: ~Ln ther Cousce, our concem will be ectimation af populatwen parameters of the dist a —Agume thed come cheractenehee of the elemet In tue etn, that Gon_be by Ake element of rancem vorioble whoce probe Hy dens, gonctton $(%, 8) where the form of “the sitll is accumed knaer, except Thed 4 cenmtern aN ukmown pommeter 6, -We forther assume thet tte voluee 3, a2---%n op aq random Sample a x, a Ge from the ditty betton Lo ® - can be chserver|- sit ~ Therefore on the bac of tbe obteweo sample values x, 369-- Xn itS decired te eetimete the value of the unknewn poor am eter © o the valve of Some fonchtone of the ubknoan param eter -Thee ectimotrens con be made tn 2 woeufe- © Point ecHmation ~~ “Paint Pha ie ictimetion . Interval ectimotton # [pera aT) fafa atten, Ine wont +e device certain metoels tp obtain clatictes b Use ac on eptinetor nel b et up © cretpno and find 0 technique treat will deprne and fine the bect esti moter Amo Mony possi ble chee. pase ve dj i 3 oX a toa a2 __ DeFintteone ae” Parameter: obabitity er , =A The unknown value of a cet atone eg f(x.a)= @ A dzo nye are conctants & unknown values 19 HH 7619.95 i Pap del =