Megha Rathi, Prathama Guha, Rajarshi Neogi
Internet addiction in adolescents: Role of family, personality and comorbid psychopathology in school children in Eastern India
Indian journal of psychiatry
ost measures income inequality derived lorenz curve indeed morgan 1962 states gini index best single measure inequality present article reviews theoretical properties lorenz curve relates characteristics frequency function underlying income distribution develops methods obtaining accurate bounds gini index depend curve fitting process also like lay rest myths concerning gini index relative insensitivity rltet6 frigyes 1968 b difficulty computation 1968 c problems related inclusion negative incomes budd 1970 basic idea approach obtain upper lower bounds gini index data grouped intervals mean income interval known usual method morgan 1962 estimating gini index yields lower bound assuming incomes interval equal average income derive upper bound grouping correction goldsmith et al 1954 p 10 hence gini index distributing income maximize spread within group 1967 internal revenue service tax data difference bounds less 0006 income distributions come frequency function density decreases large income range develop improved bounds gini index based assumption fortunately assumption checked data use sharper bounds appropriate intervals using second method difference bounds 002 soltow 1965 detects change gini index 08 one per cent 0003 0004 bound seems quite adequate section vi extend method obtain upper lower curves lorenz curve reviewing basic properties lorenz curve proceed derive bounds mean difference gini index section iv analyze actual sample show method used census bureau 1967 often leads estimates outside mathematically possible bounds derived finally appendix show pareto law give good fit current united states tax data