کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599182 1631122 2015 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Estimation of parameters in the extended growth curve model via outer product least squares for covariance
ترجمه فارسی عنوان
برآورد پارامترهای مدل رشد منحنی رشد با استفاده از کوچکترین مربعات برای تولید کوواریانس
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

In this paper, estimation of parameters in the extended growth curve model without assumption of normality is presented via outer product least squares for covariance (COPLS). The COPLS estimator for covariance can be explicitly expressed and proved to follow a linear transformation of k+1k+1 independent Wishart distributions for a normal error matrix, where k is the number of profiles of the growth curve. Then two-stage generalized least squares (GLS) estimators for regression coefficients are elaborately derived. Finally, the COPLS estimator and the two-stage GLS estimators are shown to have desired properties both in finite and large samples. Simulation studies for finite sample sizes are provided to confirm that the COPLS estimator and the two-stage GLS estimators are alternative competitors with some evident merits to the existing maximum likelihood estimators in small samples. A real data set is analyzed to demonstrate the proposed methodology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 473, 15 May 2015, Pages 236–260
نویسندگان
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