• Title/Summary/Keyword: $L^P$ random variable

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A Note on Central Limit Theorem on $L^P(R)$

  • Sungho Lee;Dug Hun Hong
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.347-349
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    • 1995
  • In this paper a central limit theorem on $L^P(R)$ for $1{\leq}p<{\infty}$ is obtained with an example when ${X_n}$ is a sequence of independent, identically distributed random variables on $L^P(R)$.

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ALMOST SURE CONVERGENCE FOR WEIGHTED SUMS OF NA RANDOM VARIABLES

  • BAEK J. I.;NIU S. L.;LIM P. K.;AHN Y. Y.;CHUNG S. M.
    • Journal of the Korean Statistical Society
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    • v.34 no.4
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    • pp.263-272
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    • 2005
  • Let {$X_n,\;n{\ge}1$} be a sequence of negatively associated random variables which are dominated randomly by another random variable. We discuss the limit properties of weighted sums ${\Sigma}^n_{i=1}a_{ni}X_i$ under some appropriate conditions, where {$a_{ni},\;1{\le}\;i\;{\le}\;n,\;n\;{\ge}\;1$} is an array of constants. As corollary, the results of Bai and Cheng (2000) and Sung (2001) are extended from the i.i.d. case to not necessarily identically distributed negatively associated setting. The corresponding results of Chow and Lai (1973) also are extended.

Effects of the Selective Eye Movement Program on the Foot Pressure and Balance in Normal Adults (선택적 안구운동 프로그램이 정상성인의 족저압과 균형에 미치는 영향)

  • Lee, Geon-Cheol;Kim, Chi-Hyok;Kim, Myung-Jin;Jung, Go-Woon;Lee, Jae-Cheol;Kim, Ji-Hwan;Lee, Mi-Hwa;Kim, Ji-Sun;Bae, Won-Sik
    • Journal of the Korean Society of Physical Medicine
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    • v.6 no.4
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    • pp.425-436
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    • 2011
  • Purpose : The purpose of this study is to identify static, dynamic balance performances and foot pressure after eye movement exercise in normal adults. Method : This study was performed on normal 18 males and 18 females subjects. They were divided into 3 groups using random sampling and executed saccadic eye movement, vestibuloocular eye movement, pursuit vergence eye movement exercise respectively. In order to compare the difference of balance and foot pressure, the subjects were measured before, middle and after eye movement. Balance was examined using the balance master 7.0 version systems. Foot pressure was examined using the gaitview AFA-50. Result : The result are as follows. 1. After first intervention, the difference of the FORM-EC item on MCTSIB variable in the vestibuloocular group was significantly decreased(p<.05) and after second intervention, the difference of the FIRM-EO(p<.05), FORM-EO(p<.01), FORM-EC(p<.01) items on MCTSIB variable in the saccadic group and FORM-EC(p<.05) item in the vestibuloocular group were significantly decreased respectively. 2. After first intervention, the difference of the EPE, MXE items in the saccadic group(p<.05) and RT(p<.05), EPE(p<.01) items in the pursuit vergence group were significantly decreased respectively after second intervention. 3. After first intervention, the difference of the Static A-P(p<.05), L-R(p<.01) and Dynamic A-P(p<.01), L-R (p<.01) items on foot pressure variable in the saccadic group, Dynamic A-P(p<.01) item in the vestibuloocular group and Static A-P(p<.01), Dynamic A-P(p<.05), L-R(p<.01) items in the pursuit vergence group were significantly decreased respectively. 4. After first intervention, the difference of the FORM-EO(p<.05), FORM-EC(p<.01) items and after second intervention, the difference of the FIRM-EO(p<.01) item on MCTSIB variable among three groups was significantly decreased respectively. Conclusion : Selective eye movement exercise program influences balance control ability and foot pressure of normal adults in positive ways.

The consistency estimation in nonlinear regression models with noncompact parameter space

  • Park, Seung-Hoe;Kim, Hae-Kyung;Jang, Sook-Hee
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.377-383
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    • 1996
  • We consider in this paper the following nonlinear regression model $$ (1.1) y_t = f(x_t, \theta_o) + \in_t, t = 1, \ldots, n, $$ where $y_t$ is the tth response, $x_t$ is m-vector imput variable, $\theta_o$ is a p-vector of unknown parameter belong to a parameter space $\Theta, f:R^m \times \Theta \ to R^1$ is a nonlinear known function, and $\in_t$ are independent unobservable random errors with finite second moment.

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Wind Stability of Commercially Important Tree Species and Silvicultural Implications, Daegwallyeong Korea (대관령 지역 경제림에 대한 내풍 안정성 분석 및 임업적 적용)

  • Moktan, Mani Ram;Kwon, Jino;Lim, Joo-Hoon;Shin, Moon-Hyun;Park, Chan-Woo;Bae, Sang-Won
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.17 no.1
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    • pp.58-68
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    • 2015
  • This study compares the wind stability of Larix kaempferi (Lamb.) Carr., Pinus koraiensis Sie. & Zucc. and Abies holophylla Maxim. to understand and inform wind risk management of these plantation trees at Daegwallyeong, Korea. Temporary square plots of $20m{\times}20m$ ($400m^2$) were laid out, and DBH (Diameter at Breast Height) and height for trees greater than 10 cm in DBH were measured by species. A total of 15 plots with 5 plots each in L. kaempferi, P. koraiensis and A. holophylla stands were sampled at random. Among the species, A. holophylla and P. koraiensis have comparatively lower h/d (Height/DBH) ratios than L. kaempferi. These results indicate that the former two species are more wind firm than the latter species. About 9% of the L. kaempferi trees have higher h/d ratios than the critical threshold limit 80. These trees are vulnerable to wind damage and should be removed in the next thinning regime. The analysis of variance detected a significant difference (p < 0.05) in the h/d ratios and Gini coefficient indicating species differences and DBH size variation, respectively. Gini coefficient was 16.4% in A. holophylla, 15.9% in P. koraiensis and 14% in L. kaempferi stands indicating limited DBH size variation. Lower h/d ratios are attributed to thinning in these stands and tree morphological differences. To increase wind firmness, low thinning should concentrate to remove trees with the h/d ratio above 80 coinciding at the time of stand distinction phase. Forest managers and practitioners should measure and maintain h/d ratios of trees below the critical threshold limit of 80 through stand density management. Variable density thinning approach should be tested to increase tree DBH sizes of the even-aged stands.

Preference and Loyalty Evaluation Using Sentiment Analysis for Promotion and Consumption Expansion of Paprika (감성분석을 이용한 파프리카 소비 확대와 홍보를 위한 선호도와 충성도 평가)

  • Jang, Hye Sook;Lee, Jung Sup;Bang, Ji Wong;Lee, Jae Han
    • Journal of Bio-Environment Control
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    • v.31 no.4
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    • pp.343-355
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    • 2022
  • This study investigated the consumption tendency and awareness of paprika in order to expand and promote the consumption of Capsicum annuum L. The research investigated the relationship of preference and loyalty based on emotional response of paprika according to the semantic differential scale. The survey was conducted from January to February 2022 using a random sampling method targeting 155 general people, and a total of 142 questionnaires were analyzed excluding 13 wrong answers. The nine items on the awareness of paprika showed to be consisted of three factors such as 'Food taste', 'Usability', and 'Economics' by factor analysis. Regarding to the awareness of paprika the positive answer that 'I think paprika is good for health' among the nine questions was the highest at 92.3%. In the preference aspect of shape, blocky type had the highest preference for the shape of paprika, followed by mini and conical types in order of preference (p < 0.001). As for color preference, yellow paprika was the most preferred, followed by orange, red, and green, showing statistical significance. The emotional response of paprika by paprika image showed a statistically significant difference in the four colors. The words such as 'bright', 'clean', and 'spirited' appeared as representative emotional vocabulary for paprika. Multiple regression analysis was performed to examine the effect of paprika on the three factors of awareness, preference, and loyalty due to the quality of life. As a result, the higher the paprika preference and quality of life, and the higher the taste and availability factors, the higher the paprika awareness and loyalty. As the variable that has the most influence on the loyalty of the survey respondents, preference was found to have the highest explanatory power at 43%. From these results, it was judged as a very important factor in the survey on the shape and color preference of paprika. Therefore, the recent increase in awareness that paprika is good for health is thought to act as a positive factor in revitalizing the domestic market and increasing consumption of paprika in the future. Also, among the three types of paprika, the yellow blunt type showed the highest preference. Therefore, in order to produce and promote this type of paprika, it is also important to increase the cultivation to suit the purchasing propensity of consumers.