Arif, Alfiatin (2013) Estimasi parameter fungsi produksi Cobb-Douglas dengan iterasi nonlinear least square. Undergraduate thesis, Universitas Islam Negeri Maulana Malik Ibrahim.
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Abstract
INDONESIA:
Regresi merupakan alat utama ekonometrika. Analisis regresi mempunyai dua jenis yaitu regresi linier dan regresi tak linier. Sifat tak linier dalam suatu model dapat terjadi dalam parameter, variabel, atau keduanya. Model yang bersifat linier dan juga tak linier salah satunya adalah fungsi produksi Cobb-Douglas.
Estimasi parameter fungsi produksi Cobb-Douglas diperoleh dengan mengunakan metode nonlinear least square dengan mengestimasi fungsi produksi Cobb-Douglas dengan pendekatan deret Taylor orde satu sehingga diperoleh iterasi Gauss Newton untuk estimasi β.
Berdasarkan hasil penelitian diperoleh bahwa bentuk umum dari estimasi parameter model regresi tak linier Cobb-Douglas dengan iterasi Gauss Newton adalah:
ENGLISH :
Regression is the primary tools for econometric. Regression analysis has two types, namely linear regression and nonlinear regression. Nonlinear properties of a model can occur in parameters, variables, or both. The model which can be a linear and nonlinear in parameter is Cobb-Douglas production function.
Parameter estimation of Cobb-Douglas production function is obtained by using a nonlinear least square methods with estimate Cobb-Douglas production function in order of Taylor series approximation so obtained Gauss Newton iterations for .
Based on the results of the research showed that the general form of the estimated parameter nonlinear Cobb-Douglas regression model with a Gauss Newton iteration is:
Item Type: | Thesis (Undergraduate) | |||||||||
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Supervisor: | Aziz, Abdul and Barizi, Ahmad | |||||||||
Contributors: |
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Keywords: | Estimasi Parameter; Regresi Tak Linier; Fungsi Produksi Cobb- Douglas; Nonlinear Least Square; Deret Taylor; Iterasi Gauss Newton; Parameters Estimation; Nonlinear Regretions; Cobb-Douglas; Production Function; Nonlinear Least Square Methods; Taylor Series; Gauss Newton iterations | |||||||||
Subjects: | 01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics |
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Departement: | Fakultas Sains dan Teknologi > Jurusan Matematika | |||||||||
Depositing User: | M. Muzakir | |||||||||
Date Deposited: | 31 May 2017 11:54 | |||||||||
Last Modified: | 31 May 2017 11:54 | |||||||||
URI: | http://etheses.uin-malang.ac.id/id/eprint/6805 |
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