• The Korean Journal of Applied Statistics
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• v.29 no.1
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• pp.123-132
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• 2016

We can achieve the principle of parsimony and efficiency if homogeneity for panel time series model is satisfied. We suggest a Rao test statistic and a Wald test statistic for the test of homogeneity for panel AR(1) and derived the limit distribution. We performed a simulation to examine statistics with the same chisquare distribution when number of the individual is small and in common with large. We also simulated to compare the empirical power of the statistics in a small panel. In application, we fit panel AR(1) model using regional monthly economical active population data and test homogeneity for panel AR(1). It is satisfied homogeneity, so it could be fitted AR(1) using the sample mean at the time point. We also compare the power of prediction between each individual and pooled model.

• Communications for Statistical Applications and Methods
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• v.5 no.1
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• pp.43-53
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• 1998

본 연구에서는 승법 시계열모형에 있어서 계절성 존재에 대한 대표본 검정통계량으로 서 Wald, 우도비, Rao 통계량을 제안했다. 그리고 세 통계량의 극한분포를 유도하였다. 모의실험을 통하여 세 검정통계량의 경험적 유의수준과 극한분포를 구하고, 세 검정통계량의 검정력을 비교하였다.