?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=KOEFISIEN+GINI+DARI+DISTRIBUSI+SINGH-MADDALA&rft.creator=TIARA+MELLIA+DITA%2C+1417031117&rft.subject=QA+Mathematics&rft.description=In+the+aspect+of+economic+inequality+and+economic+indicators%2C+the+value+of+Gini+coefficient+is+a+measure+of+economic+inequality+of+a+distibution.+Gini+coefficient+is%0D%0Adefined+as+a+surface+between+the+line+of+perfect+equality+and+Lorenz+curve.+To+obtain+the+Gini+coefficient+with+minimum+bias%2C+it%E2%80%99s+required+parameters+that+express+the+characteristic+of+the+population.+Parameters+can%E2%80%99t+be+measured+directly%2C+but+can+be+estimated+by+a+sample.+Singh-Maddala+is+one+of+distribution+wich+is+defined+as+income+distribution+or+expenditure+distribution+with+three+prameters+(a%2Cb%2Cq).+In+this+research%2C+will+be+reviewed+about+the+equation+of+Gini+coefficient+of+Singh-Maddala+distribution%2C+and+effect+of+the+parameters+(a%2Cb%2Cq)+and+distribution+graph+to+the+Gini+coefficient+value+that+required.+The+equation+of+Gini+coefficient+of+Singh-Maddala+distribution+can+be+required+by+determining+the+equation+of+Lorenz+curve+of+Singh-Maddala+distribution%2C+and+to+obtain+the+Gini+coefficient+value+from+Singh-Maddala+distribution+data+can+be+determined+by%0D%0Asubtitute+the+estimator+of+parameters+(a%2Cb%2Cq)+wich+have+obtained+by+MLE+(Maximum+Likelihood+Estimation)+numerically.+In+this+research+it+is+obtained+that%2C%0D%0Athe+smaller+bias+of+the+parameter+estimator%2C+the+smaller+bias+of+Gini+coefficient+that+obtained+as+the+measure+of+inequality+of+a+distribution.+By+the+shape+of+density+plot%2C+the+more+symmetric+the+shape+of+density+plot+the%2C+smaller+Gini+coefficient+is+obtained+too.%0D%0A%0D%0AKeywords%3A+Gini+Coefficient%2C+Lorenz+Curve%2C+Singh-Maddala+Distribution%0D%0A%0D%0A%0D%0ADalam+aspek+kesenjangan+ekonomi+dan+indikator+ekonomi%2C+besarnya+koefisien+Gini+merupakan+ukuran+kesenjangan+atau+ketidakmerataan+ekonomi+pada+suatu+distribusi.+Koefisien+Gini+didefinisikan+sebagai+luas+permukaan+diantara+kurva%0D%0Akesetaran+sempurna+dan+kurva+Lorenz.+Untuk+memperoleh+koefisien+Gini+dengan+bias+yang+minimum+diperlukan+parameter+yang+menyatakan+karakteristik+dari+populasi+tersebut.+Parameter+tidak+dapat+diukur+secara+langsung+melainkan+dengan+cara+menduganya+berdasarkan+sampel.+Singh-Maddala+merupakan+salah+satu+distribusi+yang+dinyatakan+sebagai+distribusi+pendapatan+atau+pengeluaran+dengan+tiga+parameter+(a%2Cb%2Cq).+Pada+penelitian+ini+akan+di+kaji+persamaan+koefisien+Gini+dari+distribusi+Singh-Maddala%2C+dan+pengaruh+ketiga+parameter+(a%2Cb%2Cq)+dan+bentuk%0D%0Agrafik+distribusi+terhadap+nilai+koefien+Gini+yang+diperoleh.+Persamaan+koefisien+Gini+dari+distribusi+Singh-Maddala+dapat+diperoleh+dengan+menentukan+persamaan+kurva+Lorenz+dari+distribusi+Singh-Maddala+dan+untuk+memperoleh+nilai+koefisien+Gini+dari+data+berdistribusi+Singh-Maddala+dapat+diselesaikan+dengan+menyubtitusikan+nilai+penduga+parameter+(a%2Cb%2Cq)+yang+telah+diperoleh%0D%0Amenggunakan+metode+MLE+(Maximum+Likelihood+Estimation)+secara+numerik.+Dalam+penelitian+ini+diperoleh+bahwa%2C+semakin+kecil+bias+penduga+parameter+yang+digunakan+semakin+kecil+pula+bias+dari+koefisien+Gini+yang+diperoleh+sebagai+ukuran+ketimpangan+suatu+distribusi.+Berdasarkan+bentuk+grafik+fungsi+kepekatan+peluang%2C+semakin+simetris+bentuk+grafik+maka+semakin+kecil+koefisien+Gini+yang+diperoleh.%0D%0A%0D%0AKata+Kunci%3A+Koefisien+Gini%2C+Kurva+Lorenz%2C+Distribusi+Singh-Maddala&rft.publisher=Fakultas+Matematika+dan+Ilmu+Pengetahuan+Alam&rft.date=2018-05-30&rft.type=Skripsi&rft.type=NonPeerReviewed&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F32001%2F1%2FABSTRAK.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F32001%2F2%2FSKRIPSI%2520FULL.pdf&rft.format=text&rft.identifier=http%3A%2F%2Fdigilib.unila.ac.id%2F32001%2F3%2FSKRIPSI%2520FULL%2520TANPA%2520BAB%2520PEMBAHASAN.pdf&rft.identifier=++TIARA+MELLIA+DITA%2C+1417031117++(2018)+KOEFISIEN+GINI+DARI+DISTRIBUSI+SINGH-MADDALA.++Fakultas+Matematika+dan+Ilmu+Pengetahuan+Alam%2C+Universitas+Lampung.+++++&rft.relation=http%3A%2F%2Fdigilib.unila.ac.id%2F32001%2F