multivariate pareto pampinhee

ganankalalo, multivariate pareto pampinhee anedi univariate pareto pampinhee yokka multivariate podigimpu.
pareto rakalu i−4 mariyu feller-paretotho sahaa aneka rakaala univariate pareto pampinheelu unnaayi. eee rakamaina aneka rakalaku bahula vaividhya pareto pampinheelu nirvachinchabaddaayi.
bivariate pareto pampinheelu.
modati rakam bivariate pareto pampinhee.
mardia (1962) sanchita pampinhee function (cdf) thoo bivariate pampineeni nirvachinchindi
mariyu ummadi saandrata function
upanta pampinheelu saandrata vidhulatho kuudina pareto rakam 1
upanta pampinheela yokka margalu mariyu vaividhyaalu
mariyu "a"> 2 "kosam, x" 1 mariyu "x" 2 sanukoolamgaa paraspara sambandham kaligi untaayi.
rendava rakam bivariate pareto pampinhee.
arnald bivariate pareto rakam I paripuurakaramaina cdf nii suuchimchaalani suuchimchaadu
sthaanam mariyu sthaayi paramiti bhinnamgaa undataaniki anumatinchabadithe, paripuurakaramaina cdf
idhi pareto rakam II ekaparivartana upanta pampineelanu kaligi undhi. eee pampineeni arnold dwara type II yokka multivariate pareto pampinhee antaaru. (eee nirvachanam rendava rakam mardia yokka bivariate pareto pampinheeki samanam kaadu.)
a"> 1 kosam, upanta margalu
ayithe "a"> 2 kosam, vyatyaasaalu, sahasambandham mariyu sahasambandham modati rakamaina multivariate pareto kosam samanamga untaayi.
multivariate pareto pampinheelu.
modati rakam multivariate pareto pampinhee.
mardia yokka "modati rakam multivariate pareto pampinhee" ummadi sambhaavyata saandrata functionnu kaligi untundi
upanta pampinheelu (1) maadirigaane untaayi, mariyu oka dimensional upanta pampinheelu pareto rakam I pampineeni kaligi untaayi. paripuurakaramaina cdf
upanta margalu mariyu vyatyaasaalu ivvabaddaayi
a"> 2 ayithe, sahasambandhaalu mariyu paraspara sambandhaalu sanukoolamgaa untaayi.
rendava rakam multivariate pareto pampinhee.
arnald multivariate pareto rakam I paripuurakaramaina cdf nii suuchimchaalani suuchimchaadu
sthaanam mariyu sthaayi paramiti bhinnamgaa undataaniki anumatinchabadithe, paripuurakaramaina cdf
idhi oke rakamaina (3) mariyu pareto rakam II yeka-vaividhya upanta pampineelanu kaligi undhi. eee pampineeni arnold dwara type II yokka multivariate pareto pampinhee antaaru.
a"> 1 kosam, upanta margalu
ayithe "a"> 2 kosam, vyatyaasaalu, sahasambandhaalu mariyu sahasambandhaalu modati rakamaina multivariate pareto kosam samanamga untaayi.
nalgava rakam yokka bahula vaividhya pareto pampinhee.
yaadruchchika vector "x" daani ummadi manugada function unte naalugo rakam yokka "k"-dimensional multivariate pareto pampineeni kaligi untundi
k" 1-dimensional marginal distributions ("k" 1 <"k") (4) maadirigaane untaayi, mariyu oka dimensional marginal distributions pareto rakam IV.
bahula vaividhyamaina feller-pareto pampinhee.
yaadruchchika vector "x" kii "k"-dimensional faller-pareto pampinhee untundi,
ekkada
ivi swatantra gaama chararaasulu. upanta pampinheelu mariyu sharatulatho kuudina pampinheelu oke rakamainavi (5); antey, avi bahula vaividhyamaina feller-pareto pampinheelu. oka dimensional marginal distributions feller-pareto rakaniki chendinavi.

