
cockertosis

sambhaavyata siddhant aur saankhyiki mein, cocurtosis ack maap haye kii dou yaadrichhik charr ack saath kitane badalate hain. cocurtosis chautha maankeekrit cross central moment haye. yadi dou yaadrichhik charr uchch star key cockertosis kaa pradarshan karate hain tou way ack hii samay mein atyadhik sakaratmak aur nakaratmak vichalan seey gujarenge.
paribhasha.
dou yaadrichhik charr "x" aur "y" key liye teen gair-tuchchh cocurtosis aankade hain.
aur
jahan e ["x"] "x" kaa apekshit moolya haye, jise "x" kaa maadhya bhee kahaa jaataa haye, aur sootra _ 4 "x" kaa maanak vichalan haye.
udaaharan.
dwibhinn samanya vitaran.
maan leejiye kii "x" aur "y" pratyek koo samanya roop seey sahsambandh gunank ρ key saath vitarit kiya jaataa haye. cocurtosis key shabd hain
choonki cocurtosis kewal ρ parr nirbhar kartaa haye, joe pahale seey hii poori tarah seey nimn-degree covarians matricks dwara nirdhaarit kiya jaataa haye, isaliye bivariot samanya vitaran key cocurtosis mein vitaran key baare mein koee naee jaankaari naheen hoti haye. haalaanki, anya vitaranon kii tulanaa karane key liye yeh ack suvidhajanak sandarbh haye.
gair-raikhik sahsambaddh samanya vitaran.
maan leejiye kii "x" koo samanya roop seey vitarit maanak maanaa jaae aur "y" koo "x" = "y" kii setting dwara praapt vitaran maanaa jaae jaba bhee "x" <0 aur jaba bhee "x"> 0 "maanak ardh-samanya vitaran seey swatantra roop seey" y "koo aakarshit kiya jaae. dusare shabdon mein," x "aur" y "donon maanak hain joe samanya roop seey usa guna key saath vitarit kiye jaate hain joe way nakaratmak moolyon key liye poori tarah seey sahsambaddh hain aur sakaratmak moolyon key liye sanket seey alag gair-sambandhit hain. sanyukt sambhaavyata ghanatva kaary haye
jahan "h" ("x") havicide step function haye aur δ ("x") diarock delta function haye. chauthe kshanon kii ganana aasaani seey iss ghanatva key sambandh mein ekikrit karke kii jaati haih
iss parinam kii tulanaa samanya raikhik sahsambandh key saath ack sadharan dwibhinn samanya vitaran key liye praapt kii gaee hogi. ghanatva key sambandh mein ekikaran seey, humm paate hain kii "x" aur "y" kaa raikhik sahsambandh gunank haye
ρ key iss moolya key saath ack dwibhinnata samanya vitaran kaa sootra _ 18 aur sootra _ 19 hoga. isaliye, iss gair-raikhik sahsambandh key saath iss vitaran key sabhi cockertosis shabd ρ = 0.818 key saath dwibhinnata samanya vitaran seey apekshit apeksha seey cumm hain.
dhyaan dein kii halanki "x" aur "y" vyaktigat roop seey maanak roop seey vitarit hotey hain, lekin yog "x" + "y" kaa vitaran platicurtic haye. raashi kaa maanak vichalan haye
oopar diye gaye curtosis yog sootra mein usa aur vyaktigat cocurtosis moolyon koo daalate hue, hamaare paas haye
isaki ganana seedhe yog key sambhaavyata ghanatva falan seey bhee kii jaa sakati haih