
kokurtosis

sambhaavyata siddhaantam mariyu ganankalalo, kokurtosis anedi rendu yaadruchchika chararaasulu kalisi entha marutayo koliche kolata. kokurtosis anedi nalgava praamaanika cross central mooment. rendu yaadruchchika chararaasulu adhika sthaayi kokurtosisnu pradarsiste avi oke samayamlo teevramaina saanukuula mariyu pratikuula vichalanaalaku lonavutaayi.
nirvachanam.
rendu yaadruchchika chararaasulu "x" mariyu "y" kosam moodu chinnapati cacartosis ganaamkaalu unnaayi.
mariyu
ikkada e ["x"] anedi "x" yokka anchanaa viluva, dheenini "x" yokka sagatu anie kooda pilustaaru, mariyu suutram _ 4 anedi "x" yokka praamaanika vichalanam.
udaaharanalu.
dvibhinnamaina saadhaarana pampinhee.
x" mariyu "y" prati okkati saadhaaranamgaa paraspara sahasambandha gunakam ρ thoo pampinhee cheyabadataayi. kokurtosis padaalu
kokurtosis anedi ρ paie matrame aadharapadi untundi, idhi ippatike puurtigaa diguva-sthaayi covarians matricks dwara nirnayinchabadutundi kabatti, bivariate normal distribution yokka kokurtosis pampinhee gurinchi kotta samacharanni kaligi undadu. ayithe, itara pampinheelatho poolchadaaniki idhi anukuulamaina suuchana.
naan linearly paraspara sambandham unna saadhaarana pampinheelu.
x" anedi saadhaaranamgaa pampinhee cheyabadina pramaanikamainadigaa undanivvandi mariyu "x" <0 ayinappudalla "x" = "y" nii amarchadam dwara mariyu "x"> 0 ayinappudalla praamaanika sagam-saadhaarana pampinhee nundi swatantramgaa "y" geeyadam dwara pondina pampinhee "y". maroe maatalo cheppalante, "x" mariyu "y" rendoo saadhaaranamgaa pratikuula viluvalaku puurtigaa paraspara sambandham kaligi untaayi mariyu saanukuula viluvalaku sanketam kakunda sambandham laeni lakshanamtho pampinhee cheyabadataayi. ummadi sambhaavyata saandrata function
ikkada "h" ("x") anedi havicide step function mariyu δ ("x") anedi diarock delta function. eee saandrataku sambandhinchi anusandhaaninchadam dwara nalgava kshanaalanu sulabhamgaa lekkinchavachhuh
eee phalitaanni saadhaarana dvibhinnamaina saadhaarana pampinhee kosam saadhaarana sarala sahasambandhamtho pondina daanitoe polchadam upayogakaramgaa untundi. saandrataku sambandhinchi samaikyata nundi, "x" mariyu "y" yokka sarala sahasambandha gunakam
ρ yokka eee viluvatho dvibhinnamaina saadhaarana pampinhee suutram _ 18 mariyu suutram _ 19 kaligi untundi. anduvalla, eee naan leanier sahasambandhamtho eee pampinhee yokka anni kokurtosis nibandhanalu ρ = 0.818 thoo dvibhinnamaina saadhaarana pampinhee nundi oohinchina daanikante takkuvagaa untaayi.
x" mariyu "y" saadhaaranamgaa vyaktigatamgaa pramaanikamgaa pampinhee cheyabadinappatiki, "x" + "y" mottam yokka pampinhee platicuratic anie gamaninchandi. mottam yokka praamaanika vichalanam
paina perkonna curtosis mottam suutramloe vyaktigata kokurtosis viluvalanu choppinchadam, manaku undhi
dheenini mottam yokka sambhaavyata saandrata function nundi neerugaa lekkinchavachhuh

