• Journal of the Korean Data Analysis Society
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• v.20 no.6
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• pp.2895-2905
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• 2018

We present a mixed multiplicative quantitative randomized response model which added a unrelated quantitative attribute and forced answer to the multiplicative model suggested by Bar-Lev et al. (2004). We also try to set up theoretical grounds for estimating sensitive quantitative attribute according to circumstances whether or not the information for unrelated quantitative attribute is known. We also extend it into the stratified mixed multiplicative quantitative randomized response model for stratified population along with two allocation methods, proportional and optimum allocation. We can see that the various quantitative randomized response models such as Eichhorn-Hayre's model (1983), Bar-Lev et al.'s model (2004), Gjestvang-Singh's model (2007) and Lee's model (2016a), are one of the special occasions of the suggested model. Finally, We compare the efficiency of our suggested model with Bar-Lev et al.'s (2004) and see that the bigger the value of $C_z$, the more the efficiency of the suggested model is obtained.

• Communications for Statistical Applications and Methods
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• v.3 no.1
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• pp.29-37
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• 1996

계절성을 갖는 승법 계절 혼합 시계열 모형들의 동질성 검정을 위하여 Wald 검정 통계량을 구하고 그 극한 분포가 ${\chi}^2$-분포함을 보였으며 시뮬레이션 연구를 통하여 뒷받침하였다. 도시 규모가 비슷한 우리나라 지역별 평균 온도자료를 가지고 이 동질성 검정을 수행하여 시계열을 지역별로 모형화하여 예측한 것과 동질성이 있는 것을 묶고 모형화하여 예측한 것에 대한 예측 오차를 비교하였다.