• Title/Summary/Keyword: Beta-${\kappa}$ distribution

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LH-Moments of Some Distributions Useful in Hydrology

  • Murshed, Md. Sharwar;Park, Byung-Jun;Jeong, Bo-Yoon;Park, Jeong-Soo
    • Communications for Statistical Applications and Methods
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    • v.16 no.4
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    • pp.647-658
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    • 2009
  • It is already known from the previous study that flood seems to have heavier tail. Therefore, to make prediction of future extreme label, some agreement of tail behavior of extreme data is highly required. The LH-moments estimation method, the generalized form of L-moments is an useful method of characterizing the upper part of the distribution. LH-moments are based on linear combination of higher order statistics. In this study, we have formulated LH-moments of five distributions useful in hydrology such as, two types of three parameter kappa distributions, beta-${\kappa}$ distribution, beta-p distribution and a generalized Gumbel distribution. Using LH-moments reduces the undue influences that small sample may have on the estimation of large return period events.

Association between Genetic Polymorphisms of Milk Proteins and Milk Compositions in Holstein Cows (Holstein 종(種) 유우(乳牛)의 유단백질(乳蛋白質)의 유전적다형(遺傳的多型)과 유조성분간(乳組成分間)의 연관성)

  • Sang, Byong Chan;Lee, Jo Yoon;Choi, Jong Woo;Sung, Chang Keun
    • Korean Journal of Agricultural Science
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    • v.20 no.1
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    • pp.56-67
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    • 1993
  • To applying of genetic markers of milk proteins as dairy cow registration and selection aids for genetic improvement, genopypes controlling the 4 milk protein loci, ${\alpha}S1$-casein (${\alpha}S1$-CN), ${\beta}$-casein(${\beta}$-CN), ${\kappa}$-casein(${\kappa}$-CN), and ${\beta}$-lactoglobulin(${\beta}$-LG), from a total of 159 Holstein lactating cows reared at National Animal Breeding Station in 1992 were detected by polyacrylamide gel(PAGE) electrophoresis, and associations between genetic polymorphisms of milk proteins and milk compositions were analyzed. The observed distribution of phenotypes for ${\alpha}S1$-CN, ${\beta}$-CN, ${\kappa}$-CN and ${\beta}$-LG were agreement with those expected under the assumption of genetic equilibrium. The observed genotypic frequencies of the ${\alpha}S1$-CN BB, ${\beta}$-CN AA, ${\kappa}$-CN AA and ${\beta}$-LG AB genotypes were founded to be very high as 79.87%, 84.28%, 71.70% and 49.10%, respectively. Gene frequencies were 0.899 and 0.101 for ${\alpha}S1-CN^B$ and ${\alpha}S1-CN^C$, 0.921 and 0.079 for ${\beta}-CN^A$ and ${\beta}-CN^B$, 0.837 and 0.163 for ${\kappa}-CN^A$ and ${\kappa}-CN^B$, 0.378 and 0.622 for ${\beta}-LG^A$ and ${\beta}-CN^B$. According to the results of analysis of variance, the genotypes of the ${\alpha}S1-CN$, ${\beta}-CN$, ${\kappa}-CN$ and ${\beta}-LG$ were significantly difference for fat, protein and total solid percentage in milk compositions. On milk compositions, the ${\kappa}$-CN BB genotype was very high fat and protein percentage more than ${\kappa}$-CN AA and AB genotypes, and ${\beta}$-LG AA genotype was very high fat percentage more than ${\beta}$-LG AB and BB genotype at 5% level of significant difference, respectively. As a consequence, the fat and protein percentage may be improved to select to ${\kappa}$-CN BB and ${\beta}$-LG AA genotypes.

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Characterization of the Microstructure and the Wear Resistance of the Flame-Quenched Cu-8.8Al-4.5Ni-4.5Fe Alloy (화염급냉 표면처리된 Cu-8.8Al-4.5Ni-4.5Fe 합금의 미세구조 분석 및 내마모성에 관한 연구)

  • Lee, M.K.;Hong, S.M.;Kim, G.H.;Kim, K.H.;Kim, W.W.
    • Journal of the Korean Society for Heat Treatment
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    • v.17 no.6
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    • pp.346-355
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    • 2004
  • The flame quenching process has been employed to modify the surfaces of commercial marine propeller material, aluminum bronze alloy (Cu-8.8Al-5Ni-5Fe), and the microstructure, hardness and wear properties of the flame-quenched layers have been studied. The thermal history was accurately monitored during the process with respect to both the designed maximum surface temperature and holding time. The XRD and EDX analyses have shown that at temperatures above $T_{\beta}$, the microstructure consisting of ${\alpha}+{\kappa}$ phases changed into the ${\alpha}+{\beta}^{\prime}$ martensite due to an eutectoid reaction of ${\alpha}+{\kappa}{\rightarrow}{\beta}$ and a martensitic transformation of ${\beta}{\rightarrow}{\beta}^{\prime}$. The ${\beta}^{\prime}$ martensite phase formed showed a face-centered cubic (FCC) crystal structure with the typical twinned structure. The hardness of the flame-quenched layer having the ${\alpha}+{\beta}^{\prime}$ structure was similar to that of the ${\alpha}+{\kappa}$ structure and depended sensitively on the size and distribution of hard ${\kappa}$ and ${\beta}^{\prime}$ phases with depth from the surface. As a result of the sliding wear test, the wear resistance of the flame-quenched layer was markedly enhanced with the formation of the ${\beta}^{\prime}$ martensite.

A Sediment Concentration Distribution Based on a Revised Prandtl's Mixing Theory

  • Jung, Kwan-Sue
    • Korean Journal of Hydrosciences
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    • v.8
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    • pp.1-17
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    • 1997
  • Prandtl's mixing length theory was modified to obtain a power velocity distribution in which the coefficient and the exponent are variable over a range from : $$ A simple suspended-sediment concentration distribution was developed from the modified velocity distribytion : $ With nominal values of $\beta$=1.0, $\kappa$=0.4 and visual accumulation tube values of the fall velocity, the comparison between the theory and field measurements by the USGS on the Rio Grande is fair. Doubling the value of the exponent results in a good comparison. Further researches are needed for choosing the values of $\beta$, $\kappa$, and fall velocity values, and consideration on the effects of large-scale turbulence and secondary flows are necessary for them. In a pragmatic sense, on any gaging sites the close analysis of very detailed measurements can establish its specific coefficient and exponent.

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An Examination of Sediment Discharge Computation Errors Related to Imprecise Factors (부정확한 인자와 관계된 유사량 산정 오류에 대한 검증)

  • 정관수
    • Water for future
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    • v.29 no.3
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    • pp.129-142
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    • 1996
  • This study investigates the magnitude of errors that can be expected in integrating sediment concentration in a vertical, basede on a single-point measurement, because of errors in input data. Potential error sources, including sampler location, water surface elevation, bed elevation, fall velocity, $\beta$ value, and $\kappa$ value were comparatively examined using data from a special study on the Rio Grande Conveyance channel in New Mexico. It is concluded that simple forms of equations for the vertical distribution of velocity and sediment concentration based on a single-point field sample of suspended sediment. The most uncertain point in the computation is related to the Rouse number z in the equation for the vertical concentration distribution of suspended sediment.

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A Sediment Concentration Distribution Based on a Revised Prandtl Mixing Theory (개정 Prand시 이론을 이용한 유사 농도 분포식)

  • Jeong, Gwan-Su
    • Journal of Korea Water Resources Association
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    • v.30 no.1
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    • pp.3-13
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    • 1997
  • Modifications of Prandtl's mixing length theory were used to obtain a power velocity distribution in which the coefficient and exponent are variable over a range from 1/4 to 1/7. A simple suspended-sediment concentration distribution was developed which can be associated with this modified velocity distribution. Using nominal values of ${\beta}$=1.0, $\kappa$=0.4 and visual accumulation tube values of fall velocity, the comparison between theory and field measurements by the USGS on the Rio Grande is fair. Doubling the value of the exponent results in a good comparison. Further research is needed to be able to better choose ${\beta}$, $\kappa$, and fall velocity values, but such research will not be able to account for the effects of large-scale turbulence and secondary flows. In a pragmatic sense, a special set of fairly detailed measurements can establish coefficients and exponents for any gaging site.

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Genotype Profiles for the Quantitative Trait Related to Milk Composition in Bulls Used for Artificial Insemination in India

  • Mukhopadhyaya, P.N.;Mehta, H.H.
    • Asian-Australasian Journal of Animal Sciences
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    • v.15 no.3
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    • pp.326-329
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    • 2002
  • A population of exotic Holstein Friesian, Jersey, their crossbreds and the indigenous Murrah breed of buffalo bulls (n=486), used in artificial insemination breeding program were screened for the allelic distribution of the ${\kappa}$-casein and ${\beta}$-lactoglobulin genotypes. The preferred "B" allele frequency was highest in Murrah buffalo bulls followed by Jersey and Holstein Friesian. The increase in this particular allele frequency in the Holstein Friesian crossbred bulls was more when compared to their Jersey counterparts. Hardy-Weinberg's equilibrium was maintained albeit with some deviations, which was higher in crossbreds than in purebreds. The feasibility of using such large-scale molecular diagnostic tools in the field and their significance with regards to the dairy economy is discussed.

Use of beta-P distribution for modeling hydrologic events

  • Murshed, Md. Sharwar;Seo, Yun Am;Park, Jeong-Soo;Lee, Youngsaeng
    • Communications for Statistical Applications and Methods
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    • v.25 no.1
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    • pp.15-27
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    • 2018
  • Parametric method of flood frequency analysis involves fitting of a probability distribution to observed flood data. When record length at a given site is relatively shorter and hard to apply the asymptotic theory, an alternative distribution to the generalized extreme value (GEV) distribution is often used. In this study, we consider the beta-P distribution (BPD) as an alternative to the GEV and other well-known distributions for modeling extreme events of small or moderate samples as well as highly skewed or heavy tailed data. The L-moments ratio diagram shows that special cases of the BPD include the generalized logistic, three-parameter log-normal, and GEV distributions. To estimate the parameters in the distribution, the method of moments, L-moments, and maximum likelihood estimation methods are considered. A Monte-Carlo study is then conducted to compare these three estimation methods. Our result suggests that the L-moments estimator works better than the other estimators for this model of small or moderate samples. Two applications to the annual maximum stream flow of Colorado and the rainfall data from cloud seeding experiments in Southern Florida are reported to show the usefulness of the BPD for modeling hydrologic events. In these examples, BPD turns out to work better than $beta-{\kappa}$, Gumbel, and GEV distributions.

Effects of Curcuma longa Rhizoma on MIA-induced Osteoarthritis in Rat Model (강황(薑黃)이 MIA 유도 골관절염 모델에 미치는 영향)

  • Kim, Young Jun
    • The Journal of Korean Medicine
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    • v.40 no.3
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    • pp.35-58
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    • 2019
  • Objectives: The aim of this study was to investigate the anti-inflammatory effects of Curcuma longa rhizoma extract in an experimental rat model of osteoarthritis. Methods: Osteoarthritis was induced in rats by injecting monosodium iodoacetate (MIA) into the knee joint cavity of rats. The rats were divided into 5 groups (Normal, Control, positive comparison, low (CL) and high (CH) concentration groups). Rats in the low concentration (CL) group had MIA-induced osteoarthritis; they were treated with Curcuma longa rhizoma extract at a dose of 50mg/kg body weight. Rats in the high concentration (CH) group had MIA-induced osteoarthritis; they were treated with Curcuma longa rhizoma extract at a dose of 100mg/kg body weight. Hind paw weight distribution and ROS levels were measured. At the end of all treatments, changes in alanine aminotransferase (ALT), aspartate aminotransferase (AST), blood urea nitrogen (BUN), and creatinine levels were analyzed. In addition, inflammatory protein levels were evaluated by western blot analysis. Results: In this study, hind paw weight distribution significantly improved in the CL and CH groups, while. Reactive oxygen species (ROS) production significantly decreased in both. The levels of ALT, AST, BUN, and creatinine did not significantly change in either group. The production of nicotinamide adenine dinucleotide phosphate oxidase 4 (NOX4), $p47^{phox}$, and Ras-related C3 botulinum toxin substrate 1 (RAC1) decreased in both. Catalase, heme oxygenase-1 (HO-1) and superoxide dismutase (SOD) significantly increased in the CL and CH groups, respectively. Nuclear factor erythroid 2 (Nrf2) increased, but there were no significant differences between the experimental and control groups. Inflammatory cytokines, including nuclear factor-kappa Bp65 (NF-${\kappa}Bp65$), interleukin-1beta (IL-$1{\beta}$), and tumor necrosis factor-alpha (TNF-${\alpha}$), decreased significantly in both the CL and CH groups. Conclusions: Our results showed that Curcuma longa rhizoma extract has anti-inflammatory effects. Anti-inflammatory activity is regulated by the inhibition of inflammatory cytokines and mediators, such as NF-${\kappa}B$, therefore, it suppresses cartilage damage as well.

Error Rate for the Limiting Poisson-power Function Distribution

  • Joo-Hwan Kim
    • Communications for Statistical Applications and Methods
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    • v.3 no.1
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    • pp.243-255
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    • 1996
  • The number of neutron signals from a neutral particle beam(NPB) at the detector, without any errors, obeys Poisson distribution, Under two assumptions that NPB scattering distribution and aiming errors have a circular Gaussian distribution respectively, an exact probability distribution of signals becomes a Poisson-power function distribution. In this paper, we show that the error rate in simple hypothesis testing for the limiting Poisson-power function distribution is not zero. That is, the limit of ${\alpha}+{\beta}$ is zero when Poisson parameter$\kappa\rightarro\infty$, but this limit is not zero (i.e., $\rho\ell$>0)for the Poisson-power function distribution. We also give optimal decision algorithms for a specified error rate.

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