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Detail Karya Ilmiah Dosen

Fitria Virgantari, Hagni Wijayanti, Sonny Koeshendrajana

Judul : Aitken’s Generalized Least Square Method for Estimating Parameter of Demand Function of Animal Protein In Indonesia
Abstrak :

Abstract. Ordinary least square (OLS) method is the most popular and commonly technique
used to estimate numerical values of parameters of selected regression models. This was due
to its unbiasedness property. However, when elements of dependent variable have unequal
variances and/or correlated each other, there is no guarantee that the OLS estimator will show
the most efficient within the class of linear unbiased estimators. For conditions generally
encountered, GLS method is proposed an estimation procedure which yields coefficient
estimators at least asymptotically more efficient than single equation OLS estimator. This
method is derived by Aitken and it’s named Aitken GLS. This paper reported a study of
application of Aitken’s GLS method for estimating parameter of demand function of animal
protein in Indonesia of which have a system equation. This system of equation causes
violation of the assumptions of homoscedasticity and independency of estimated parameters.
Secondary data obtained from the Central Bureau of Statistics 2016 in 34 provinces in
Indonesia was used in this study. Animal food was grouped in terms of fish, meat, eggs and
milk. Results showed that error of those three equations were correlated. It suggests that GLS
method should be used. Normality and homogenity assumptions were not violated. The
determination coefficient was 99%, indicating that the method was very good.

Tahun : 2019 Media Publikasi : Jurnal Internasional
Kategori : Jurnal No/Vol/Tahun : 1245 / 012045 / 2019
ISSN/ISBN : 10.1088/1742-6596/1245/1/012045
PTN/S : Universitas Pakuan Program Studi : MATEMATIKA
Bibliography :

[1] Virgantari F, Daryanto A, Harianti H, Kuntjoro S U 2011 Analisis Permintaan Ikan di Indonesia:
Pendekatan Model Quadratic Almost Ideal Demand System (Quaids) Jurnal Sosial Ekonomi
Kelautan dan Perikanan 6 (2) pp 191-203
[2] Zellner A 1962 An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests
forAggregation Bias Journal of the American Statistical Association 57 298 pp 348-368
[3] Seddighi H R, Lawler K A and Katos A V 2000 Econometrics (London: Routledge)
[4] Amemiya T 1977 The Maximum Likelihood and the Nonlinear ThreeStage Least Squares
Estimator in the General Nonlinear Simultaneous Equation Model Econometrica Journal of the
Econometrics Society 45 (4) pp 955-968
[5] Greene W H 2003 Econometric Analysis 5th edition (New York: Prentice-Hall)
[6] Hakiki G 2016 Consumption of Calorie and Protein of Indonesia Population and Province Book
2 (Jakarta: Badan Pusat Statistik)
[7] Supriyanto S 2016 Consumption Expenditure of Population of Indonesia by Province Book 3
(Jakarta: Badan Pusat Statistik)
[8] Virgantari F, Wijayanti H, Multina L B 2014 Kajian Model Almost Ideal Demand System pada
Fungsi Permintaan Pangan Hewani di Indonesia Prosiding Seminar Nasional Matematika 2014
Universitas Indonesia Jakarta

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