• Title/Summary/Keyword: beta-function

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Tilted beta regression and beta-binomial regression models: Mean and variance modeling

  • Edilberto Cepeda-Cuervo
    • Communications for Statistical Applications and Methods
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    • v.31 no.3
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    • pp.263-277
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    • 2024
  • This paper proposes new parameterizations of the tilted beta binomial distribution, obtained from the combination of the binomial distribution and the tilted beta distribution, where the beta component of the mixture is parameterized as a function of their mean and variance. These new parameterized distributions include as particular cases the beta rectangular binomial and the beta binomial distributions. After that, we propose new linear regression models to deal with overdispersed binomial datasets. These new models are defined from the proposed new parameterization of the tilted beta binomial distribution, and assume regression structures for the mean and variance parameters. These new linear regression models are fitted by applying Bayesian methods and using the OpenBUGS software. The proposed regression models are fitted to a school absenteeism dataset and to the seeds germination rate according to the type seed and root.

Adzuki bean (Vigna angularis) extract reduces amyloid-β aggregation and delays cognitive impairment in Drosophila models of Alzheimer's disease

  • Miyazaki, Honami;Okamoto, Yoko;Motoi, Aya;Watanabe, Takafumi;Katayama, Shigeru;Kawahara, Sei-ichi;Makabe, Hidefumi;Fujii, Hiroshi;Yonekura, Shinichi
    • Nutrition Research and Practice
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    • v.13 no.1
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    • pp.64-69
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    • 2019
  • BACKGROUND/OBJECTIVES: Alzheimer's disease is a neurodegenerative disease that induces symptoms such as a decrease in motor function and cognitive impairment. Increases in the aggregation and deposition of amyloid beta protein ($A{\beta}$) in the brain may be closely correlated with the development of Alzheimer's disease. In this study, the effects of an adzuki bean extract on the aggregation of $A{\beta}$ were examined; moreover, the anti-Alzheimer's activity of the adzuki extract was examined. MATERIALS/METHODS: First, we undertook thioflavin T (ThT) fluorescence analysis and transmission electron microscopy (TEM) to evaluate the effect of an adzuki bean extract on $A{\beta}_{42}$ aggregation. To evaluate the effects of the adzuki extract on the symptoms of Alzheimer's disease in vivo, $A{\beta}_{42}$-overexpressing Drosophila were used. In these flies, overexpression of $A{\beta}_{42}$ induced the formation of $A{\beta}_{42}$ aggregates in the brain, decreased motor function, and resulted in cognitive impairment. RESULTS: Based on the results obtained by ThT fluorescence assays and TEM, the adzuki bean extract inhibited the formation of $A{\beta}_{42}$ aggregates in a concentration-dependent manner. When $A{\beta}_{42}$-overexpressing flies were fed regular medium containing adzuki extract, the $A{\beta}_{42}$ level in the brain was significantly lower than that in the group fed regular medium only. Furthermore, suppression of the decrease in motor function, suppression of cognitive impairment, and improvement in lifespan were observed in $A{\beta}_{42}$-overexpressing flies fed regular medium with adzuki extract. CONCLUSIONS: The results reveal the delaying effects of an adzuki bean extract on the progression of Alzheimer's disease and provide useful information for identifying novel prevention treatments for Alzheimer's disease.

Optimization of Economic Load Dispatch Problem for Quadratic Fuel Cost Function with Prohibited Operating Zones (운전금지영역을 가진 이차 발전비용함수의 경제급전문제 최적화)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.5
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    • pp.155-162
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    • 2015
  • This paper proposes a deterministic optimization algorithm to solve economic load dispatch problem with quadratic convex fuel cost function. The proposed algorithm primarily partitions a generator with prohibited zones into multiple generators so as to place them afield the prohibited zone. It then sets initial values to $P_i{\leftarrow}P_i^{max}$ and reduces power generation costs of those incurring the maximum unit power cost. It finally employs a swap optimization process of $P_i{\leftarrow}P_i-{\beta}$, $P_j{\leftarrow}P_j+{\beta}$ where $_{max}\{F(P_i)-F(P_i-{\beta})\}$ > $_{min}\{F(P_j+{\beta})-F(P_j)\}$, $i{\neq}j$, ${\beta}=1.0,0.1,0.01,0.001$. When applied to 3 different 15-generator cases, the proposed algorithm has consistently yielded optimized results compared to those of heuristic algorithms.

Perilla frutescens var. japonica and rosmarinic acid improve amyloid-β25-35 induced impairment of cognition and memory function

  • Lee, Ah Young;Hwang, Bo Ra;Lee, Myoung Hee;Lee, Sanghyun;Cho, Eun Ju
    • Nutrition Research and Practice
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    • v.10 no.3
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    • pp.274-281
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    • 2016
  • BACKGROUND/OBJECTIVES: The accumulation of amyloid-${\beta}$ ($A{\beta}$) in the brain is a hallmark of Alzheimer's disease (AD) and plays a key role in cognitive dysfunction. Perilla frutescens var. japonica extract (PFE) and its major compound, rosmarinic acid (RA), have shown antioxidant and anti-inflammatory activities. We investigated whether administration of PFE and RA contributes to cognitive improvement in an $A{\beta}_{25-35}$-injected mouse model. MATERIALS/METHODS: Male ICR mice were intracerebroventricularly injected with aggregated $A{\beta}_{25-35}$ to induce AD. $A{\beta}_{25-35}$-injected mice were fed PFE (50 mg/kg/day) or RA (0.25 mg/kg/day) for 14 days and examined for learning and memory ability through the T-maze, object recognition, and Morris water maze test. RESULTS: Our present study demonstrated that PFE and RA administration significantly enhanced cognition function and object discrimination, which were impaired by $A{\beta}_{25-35}$, in the T-maze and object recognition tests, respectively. In addition, oral administration of PFE and RA decreased the time to reach the platform and increased the number of crossings over the removed platform when compared with the $A{\beta}_{25-35}$-induced control group in the Morris water maze test. Furthermore, PFE and RA significantly decreased the levels of nitric oxide (NO) and malondialdehyde (MDA) in the brain, kidney, and liver. In particular, PFE markedly attenuated oxidative stress by inhibiting production of NO and MDA in the $A{\beta}_{25-35}$-injected mouse brain. CONCLUSIONS: These results suggest that PFE and its active compound RA have beneficial effects on cognitive improvement and may help prevent AD induced by $A{\beta}$.

The study on Lightness and Performance Improvement of Universal Code (BL-beta code) for Real-time Compressed Data Transferring in IoT Device (IoT 장비에 있어서 실시간 데이터 압축 전송을 위한 BL-beta 유니버설 코드의 경량화, 고속화 연구)

  • Jung-Hoon, Kim
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.15 no.6
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    • pp.492-505
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    • 2022
  • This study is a study on the results of improving the logic to effectively transmit and decode compressed data in real time by improving the encoding and decoding performance of BL-beta codes that can be used for lossless real-time transmission of IoT sensing data. The encoding process of BL-beta code includes log function, exponential function, division and square root operation, etc., which have relatively high computational burden. To improve them, using bit operation, binary number pattern analysis, and initial value setting of Newton-Raphson method using bit pattern, a new regularity that can quickly encode and decode data into BL-beta code was discovered, and by applying this, the encoding speed of the algorithm was improved by an average of 24.8% and the decoding speed by an average of 5.3% compared to previous study.

NOTE ON THE NEGATIVE DECISION NUMBER IN DIGRAPHS

  • Kim, Hye Kyung
    • East Asian mathematical journal
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    • v.30 no.3
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    • pp.355-360
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    • 2014
  • Let D be a finite digraph with the vertex set V (D) and the arc set A(D). A function f : $V(D){\rightarrow}\{-1,\;1\}$ defined on the vertices of a digraph D is called a bad function if $f(N^-(v)){\leq}1$ for every v in D. The weight of a bad function is $f(V(D))=\sum\limits_{v{\in}V(D)}f(v)$. The maximum weight of a bad function of D is the the negative decision number ${\beta}_D(D)$ of D. Wang [4] studied several sharp upper bounds of this number for an undirected graph. In this paper, we study sharp upper bounds of the negative decision number ${\beta}_D(D)$ of for a digraph D.

The Effect of Oral Function on the Quality of Life of Korean Adults by Age Group (한국 성인 연령층별 구강기능이 삶의 질에 미치는 영향)

  • Lee, Eun-Ju;Kim, Myung-Gwan
    • The Korean Journal of Health Service Management
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    • v.10 no.2
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    • pp.99-110
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    • 2016
  • Objectives : The aim of the present study was to propose more substantial data for evaluating the quality of life of adults in terms of oral health as well as provide the basic data necessary to develop an effective oral health care program that improves the quality of life of adults by age group. Methods : Raw data were used from the sixth Korea National Health and Nutrition Examination Survey for the first and second years which was conducted from January 2013 to December 2014. Multiple regression analysis was conducted with the collected data by gender and age group to determine the impact of oral functions on the quality of life of adults. Results : It turned out that oral function has an impact on the quality of life of adults by age group as follows: young people (${\beta}$=.077), middle-age people (${\beta}$=.101), young-old elderly people (${\beta}$=.140), and old-old elderly people (${\beta}$=.143). It was shown that as people grow older, they have better quality of life only when they have good oral function. Conclusions : It is necessary to develop a proper oral health care program that prevents oral diseases and improves oral function by age group, which eventually will lead to good oral health. Continuous oral healthcare is also considered necessary.

Influence of Self Esteem, Family Function and Social Support on Wellness of Mothers of Children with Disabilities (장애아동 어머니의 자아존중감, 가족기능, 사회적 지지가 웰니스에 미치는 영향)

  • Kim, Mi Kyeong;Kwon, In Soo
    • Child Health Nursing Research
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    • v.22 no.1
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    • pp.1-10
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    • 2016
  • Purpose: Purpose of this study was to investigate factors influencing wellness, and provide basic data for development of intervention programs to improve wellness in mothers of children with disabilities. Methods: Participants were 147 mothers of children with disabilities from an elementary school and kindergarten for children with disabilities located in J and C cities in G province. Data were collected from February 24 to April 24, 2015 using questionnaires. Results: Mean scores were $3.24{\pm}0.38$ of 5 for wellness, $2.40{\pm}0.41$ of 4 for self-esteem, and $2.87{\pm}0.36$ of 4 for family function. There were significant differences in wellness according to religion, education, and type of education program for the children. There were positive correlations between self-esteem, family function, social support, and wellness. Factors influencing wellness were selfesteem (${\beta}$ =.450), family function (${\beta}$ =.313), type of education program for the children (${\beta}$ =.140), and religion (${\beta}$ =.127). These factors explained 42.7% of the variance in wellness. Conclusion: Findings show that levels of wellness in these mothers are not sufficient to allow them to care for their children and to maintain their own overall health. Therefore to increase wellness of mothers of children with disabilities, intervention strategies that focus on improving self-esteem and family functioning need to be developed.