• Title/Summary/Keyword: p-mean convergence

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CONVERGENCE PROPERTIES OF THE PARTIAL SUMS FOR SEQUENCES OF END RANDOM VARIABLES

  • Wu, Yongfeng;Guan, Mei
    • Journal of the Korean Mathematical Society
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    • v.49 no.6
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    • pp.1097-1110
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    • 2012
  • The convergence properties of extended negatively dependent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the $p$-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich the known results in the literature.

PRECISE ASYMPTOTICS IN COMPLETE MOMENT CONVERGENCE FOR DEPENDENT RANDOM VARIABLE

  • Han, Kwang-Hee
    • Honam Mathematical Journal
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    • v.31 no.3
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    • pp.369-380
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    • 2009
  • Let $X,X_1,X_2,\;{\cdots}$ be identically distributed and negatively associated random variables with mean zeros and positive, finite variances. We prove that, if $E{\mid}X_1{\mid}^r$ < ${\infty}$, for 1 < p < 2 and r > $1+{\frac{p}{2}}$, and $lim_{n{\rightarrow}{\infty}}n^{-1}ES^2_n={\sigma}^2$ < ${\infty}$, then $lim_{{\epsilon}{\downarrow}0}{\epsilon}^{{2(r-p}/(2-p)-1}{\sum}^{\infty}_{n=1}n^{{\frac{r}{p}}-2-{\frac{1}{p}}}E\{{{\mid}S_n{\mid}}-{\epsilon}n^{\frac{1}{p}}\}+={\frac{p(2-p)}{(r-p)(2r-p-2)}}E{\mid}Z{\mid}^{\frac{2(r-p)}{2-p}}$, where $S_n\;=\;X_1\;+\;X_2\;+\;{\cdots}\;+\;X_n$ and Z has a normal distribution with mean 0 and variance ${\sigma}^2$.

A convergence study about Influences of hematopoietic stem cell transplantation on children growth (소아암 환아의 조혈모세포이식 후 성장에 관한 융합 연구)

  • Lim, Su-Jin
    • Journal of the Korea Convergence Society
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    • v.8 no.4
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    • pp.49-57
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    • 2017
  • This is a convergence study about influences of hematopoietic stem cell transplantation on children growth. For this explanatory survey research, data were collected with medical record of 112 children with malignant and hematological diseases received HSCT from February to March, 2009. To analyze the growth after HSCT, mixed-effects model was used. The mean SDS of height and weight were negative values in HSCT. The mean value of SDS were significantly lower in autologous HSCT group by height(p=0.0008) and weight(p= 0.0012). Significant factors on changes of SDS of height growth were age at HSCT(p=0.0251), autologous HSCT(p=0.0020) and total dose of steroid in allogeneic HSCT (p=0.0403) and age at HSCT(p=0.0042), autologous HSCT(p=0.0035), and duration of TPN(p=0.0159) for weight growth. According to the results, we must learn to recognize the predicting growth impairment after HSCT in children. regarding nursing interventions should be conducted in the care of these children.

Convergence Study on the Drug Dose Calculations and Confidence of Nursing Students (간호 학생의 약물 용량 계산과 자신감에 관한 융합적 연구)

  • Jung, In-Sook
    • Journal of Convergence for Information Technology
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    • v.7 no.4
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    • pp.45-51
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    • 2017
  • The purpose of this study is to find the level of drug dose calculations and confidence of nursing students who completed fundamental nursing. After receiving informed consent, questionnaires and drug dose calculation paper of 152 subjects were collected. The data were analyzed using SPSS 19.0. The $mean{\pm}SD$ of drug dose calculations was $7.46{\pm}1.97$ on a scale of 10, the mean score of male students was higher than female's(t=3.64, p=.001), and the mean score of science was higher than vocational's according to high school departments(F=5.11, p=.007). In the score of confidence, the $mean{\pm}SD$ was $4.12{\pm}1.12$ on a scale of 6, the mean score of male students was higher than female's(t=8.94, p=.001), and the science was higher than humanity or vocational(F=6.28, p=.002). There was a positive correlation between drug dose calculation and confidence scores(r= .32, p=.001), and explanation rate of confidence on drug dose calculation was 10.2%(p=0.001) in regression analysis. This suggests that nursing students need to improve drug dose calculation ability by strengthening confidence.

ON PARANORMED TYPE p-ABSOLUTELY SUMMABLE UNCERTAIN SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

  • Nath, Pankaj Kumar;Tripathy, Binod Chandra
    • Communications of the Korean Mathematical Society
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    • v.36 no.1
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    • pp.121-134
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    • 2021
  • In this paper we introduce the notion of paranormed p-absolutely convergent and paranormed Cesro summable sequences of complex uncertain variables with respect to measure, mean, distribution etc. defined by on Orlicz function. We have established some relationships among these notions as well as with other classes of complex uncertain variables.

MEAN CONVERGENCE THEOREMS AND WEAK LAWS OF LARGE NUMBERS FOR DOUBLE ARRAYS OF RANDOM ELEMENTS IN BANACH SPACES

  • Dung, Le Van;Tien, Nguyen Duy
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.467-482
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    • 2010
  • For a double array of random elements {$V_{mn};m{\geq}1,\;n{\geq}1$} in a real separable Banach space, some mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which $k_{mn}^{-\frac{1}{r}}\sum{{u_m}\atop{i=1}}\sum{{u_n}\atop{i=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in $L_r$ (0 < r < 2). The weak law results provide conditions for $k_{mn}^{-\frac{1}{r}}\sum{{T_m}\atop{i=1}}\sum{{\tau}_n\atop{j=1}}(V_{ij}-E(V_{ij}|F_{ij})){\rightarrow}0$ in probability where {$T_m;m\;{\geq}1$} and {${\tau}_n;n\;{\geq}1$} are sequences of positive integer-valued random variables, {$k_{mn};m{{\geq}}1,\;n{\geq}1$} is an array of positive integers. The sharpness of the results is illustrated by examples.

CONTINUATION THEOREMS OF THE EXTREMES UNDER POWER NORMALIZATION

  • Barakat, H.M.;Nigm, E.M.;El-Adll, M.E.
    • Journal of applied mathematics & informatics
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    • v.10 no.1_2
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    • pp.1-15
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    • 2002
  • In this paper an important stability property of the extremes under power normalizations is discussed. It is proved that the restricted convergence of the Power normalized extremes on an arbitrary nondegenerate interval implies the weak convergence. Moreover, this implication, in an important practical situation, is obtained when the sample size is considered as a random variable distributed geometrically with mean n.

Fusion Research in the Association of Lung Function with Pulse Pressure and Blood Lipid in Adults (성인의 맥압과 혈청지질 및 폐기능의 관계 융합 연구)

  • Jo, Yoon-Kyung;Sung, Hyun-Ho
    • Journal of the Korea Convergence Society
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    • v.9 no.11
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    • pp.203-208
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    • 2018
  • The purpose of this study was to investigate whether there is a relationship between pulmonary function, serum lipid and pulse pressure, which is a risk factor of cardiovascular disease, in subjects with 109 office workers(51 males and 58 females) be at Seoul, Korea. The mean age of the subjects was $43.44{\pm}7.23$ years old (male $43.44{\pm}7.27$, fenale $49.1{\pm}11.5$). The subjects' height, weight, BMI, systolic and diastolic blood pressures were measured and there was statistical difference between men and women.The mean pulse pressure of the subjects was $47.82{\pm}9.02mmHg$, and the mean of FVC was $84.26{\pm}9.91%$. There was no difference between men and women in both. There was a positive correlation between pulse pressure and systolic blood pressure in males (p<0.01) and females (p<0.01), and FVC and HDL in males were positively correlated (p<0.05). Pulse pressure and %FVC were negatively correlated (r =-0.267, P<0.01). Pulse pressure and %FVC were negatively correlated (r =-0.267, P<0.01). Regression analysis showed that PP was the independent affected %FVC. Therefore, pulse pressure and %FVC may be useful as a predictor of cardiovascular disease in middle-aged subjects with normal, suggest a long-term convergence follow-up is warranted to elucidate the incidence of cardiovascular disease.

Virtual Subcarrier-Based Adaptive Channel Estimation Scheme of IEEE 802.11p-Based WAVE Communication System

  • Song, Mihwa;Kang, Seong-In;Lee, Won-Woo
    • Journal of information and communication convergence engineering
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    • v.18 no.2
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    • pp.88-93
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    • 2020
  • The IEEE 802.11p-based wireless access in vehicular environments (WAVE) [1] communication is a method used exclusively for wireless communication on the road. This technique enables information sharing not only among moving vehicles but also between vehicles and infrastructure [2]. As part of WAVE communication, data is transmitted to and from vehicles in motion; in this case, it is difficult to determine the channel accurately in an outdoor environment owing to the Doppler shift [3]. This paper proposes a new channel estimation scheme for enhancing the reception performance of the IEEE 802.11p-based WAVE system. The proposed technique obtains the initial channel value by estimating the least square in the time domain by inserting a pilot signal for channel estimation into the IEEE 802.11p virtual subcarrier. Subsequently, a least mean square algorithm is applied to the initial channel value to update the estimated channel value. The simulation results obtained using the proposed channel estimation technique confirm its remarkable efficiency.

CA/C Ratio of Adults in Their Early Twenties with Normal Binocular Vision (양안시가 정상인 20대 초반 성인의 CA/C비)

  • Lee, Mu-Hyuk;Yu, Dong-Sik
    • Journal of Korean Ophthalmic Optics Society
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    • v.17 no.2
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    • pp.153-158
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    • 2012
  • Purpose: The purpose of this study was to evaluate the convergence accommodation to convergence (CA/C) ratio and to investigate relationships among age, accommodative amplitude and PD (interpupillary distance) of adults in their early twenties with normal binocular vision. Methods: 44 subjects (mean age, $21.75{\pm}1.16$ years) with healthy eyes were examined. The CA/C ratios were measured by using the difference of Gaussian (DOG) target with retinoscopy. Results: The mean CA/C ratio was $0.052{\pm}0.017$ D/$\Delta$. A moderate negative correction was present between CA/C ratio and age (r = -0.50, p = 0.0005), and a highly positive correction was found between CA/C ratio and accommodative amplitude (r = 0.79, p<0.0001). There was no relation between PD and CA/C ratio. Conclusions: The CA/C ratio presented was mean value for adults in their early twenties with healthy eye between 19 and 25 years of age. There was a high correlation between accommodative amplitude and CA/C ratio. Therefore, the CA/C ratio will be useful basic information for comparison in age, gender and binocular anomalies with similar data from other countries.