
sambhavyatha alavukalude motham vyathiyana dooram

probability sidhaanthathil, motham vyathiyana dooram probability vitharanathinulla oru dhoora alavukolaanu. ithu stattistikkal disttans metrik ennathinte oru udaaharanamaanu, chilappol stattistikkal disttans, stattistikkal deference allengil veriyashanal disttans ennu vilikkappedunnu.
nirvachanam.
alakkaavunna oru space formula probability alavukalum formula 2, formula 3 enniva formula 1 ll nirvachichirikkunnu.
formula _ 2 umm formula _ 3 umm thammilulla motham vyathyasa dooram ingane nirvachikkunnu
anoupachaarikamaayi, rund probability vitharanagalkkum ore sambhavathin nalkaan kazhiyunna probabilittikal thammilulla ettavum valia vyathyaasamaanith.
swathukkal.
mattu doorangalumaayulla bandham.
motham vyathiyana dooram pinskarinte asamathvam moolam kulback-leabler vyathichalanavumayi bandhappettirikkunnu
bretagonolum huber (saibakov kaanuka) kaaranam oraalkk inipparayunna asamathvamundu, ithu formula _ 9 aayirikkumbol polum shoonyamallaatha oru boundu nalkunnathinte nettamaanu
formula _ 11 kanakkakkavunna samayat, motham vyathiyana dooram aidantitti prakaram l1 maanadandavumaayi bandhappettirikkunnu
motham vyathiyana dooram inipparayunna reethiyil hellinger dhoora soothravaakyavumaayi bandhappettirikkunnu
1-normum 2-normum thammilulla asamathvangalil ninnu eee asamathvangal udan pinthudarunnu.
gathagatha sidhaanthavumaayulla bandham.
motham vyathiyana dooram (allengil maanadandatthinte pakuthi) opttimal gathagatha chelavaayaan uyarnnuvarunnathu, koost function formula _ 15 aayirikkumbol, athaayath,
formula _ 18 nilanilkkunna sthalathe probability alavu formula _ 17 maayi bandhappett prateeksha edukkukayum yathaakramam marginal formula _ 2, formula _ 3 enniva upayogichu atharam formula _ 17-neey paramavadhi edukkukayum cheiyunnu.

