• 제목/요약/키워드: 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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    • 제16권4호
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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.

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 (Association between Genetic Polymorphisms of Milk Proteins and Milk Compositions in Holstein Cows)

  • 상병찬;이조윤;최종우;성창근
    • 농업과학연구
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    • 제20권1호
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    • pp.56-67
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    • 1993
  • 본(本) 연구(硏究)는 유단백질(乳蛋白質)의 유전적표식(遺傳的標識)(genetic marker)를 유우(乳牛)의 유전적(遺傳的) 개량(改良)을 위한 유우등록 및 선발(選拔) 자료로 활용하고자 1992년 국립 종축원에서 사육증인 Holstein종 159두에서 각각 유즙 시료를 채취하여 Polyacrylarnide gel(PAGE)에 의한 전기영동방법에 의하여 ${\alpha}S1$-casein(${\alpha}S1$-CN) 및 ${\beta}$-casein(${\beta}$-CN), ${\kappa}$-casein(${\kappa}$-CN) 및 ${\beta}$-lactoglobulin(${\beta}$-LG)의 유전적(遺傳的) 다형(多型)을 분석(分析)하여 유전적(遺傳的) 변이체의 표현형(表現型), 유전자형(遺傳子型) 및 유전자빈도(遺傳子頻度)를 추정하고 이들 단백질의 유전적(遺傳的) 다형(genetic polyrnorphisms)과 유조성분과의 연관성을 분석(分析) 검토(檢討)하였다. 유단백질(乳蛋白質)인 ${\alpha}S1$-CN, ${\beta}$-CN, ${\kappa}$-CN 및 ${\beta}$-LG 유전좌위(遺傳座位)의 유전적(遺傳的) 변이체의 표현형(表現型) 분포의 관찰치와 기대치간에 유의적(有意的)인 차이가 인정 되지않아 이들 유전자(遺傳子)들이 유전적(遺傳的) 평형을 이루고 있는 것으로 사료되었다. 유단백질(乳蛋白質) 좌위(座位)의 유전자형(遺傳子型)을 분석(分析)한 결과(結果) ${\alpha}S1$-CN BB유전자형(遺傳子型), ${\beta}$-CN AA유전자형(遺傳子型), ${\kappa}$-CN AA유전자형(遺傳子型) 및 ${\beta}$-LG AB 유전자형(遺傳子型)의 출현빈도(出現頻度)가 각각 79.87%, 84.28%, 71.70% 및 49.10%로 높게 나타났다. 유단백질(乳蛋白質)의 유전자빈도(遺傳子頻度)에 있어서는 ${\alpha}S1-CN^B$${\alpha}S1-CN^C$가 각각 0.899 및 0.101이었고, ${\beta}-CN^A$${\beta}-CN^B$은 각각 0.921 및 0.079이었으며, ${\kappa}-CN^A$${\kappa}-CN^B$은 각각 0.837 및 0.163이었고, ${\beta}-LG^A$${\beta}-LG^B$은 각각 0.378 및 0.622이었다. 분산분석(分散分析) 결과(結果) 유단백질(乳蛋白質)의 유전자형(遺傳子型)들은 유조성분인 유지율, 단백질 함량 및 총 고형분 함량에서 유의적(有意的)인 연관성이 인정되었다. 유조성분 함량에 있어서는 ${\kappa}$-CN좌위(座位)의 BB유전자형(遺傳子型)은 유지율 및 유단백질(乳蛋白質) 함량에서 ${\kappa}$-CN좌위(座位)의 AA 및 AB 유전자형(遺傳子型)보다 유의적(有意的)으로 높게 나타났으며, ${\beta}$-LG좌위(座位)의 AA유전자형(遺傳子型)은 유지율에서 ${\beta}$-LG좌위(座位)의 AB 및 BB 유전자형(遺傳子型)보다 유의적(有意的)으로 높게 추정되었다. 이상의 연구결과(硏究結果)를 종합하여 볼때 유조 성분인 유지율 및 단백질함량을 높히기 위하여서는 ${\kappa}$-CN좌위(座位)의 BB 유전자형(遺傳子型)과 ${\beta}$-LG좌위(座位)의 AA 유전자형(遺傳子型)을 선발(選拔)하는것이 보다 유리할 것으로 생각되었다.

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

  • 이민구;홍성모;김광호;김경호;김흥회
    • 열처리공학회지
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    • 제17권6호
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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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    • 제8권
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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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부정확한 인자와 관계된 유사량 산정 오류에 대한 검증 (An Examination of Sediment Discharge Computation Errors Related to Imprecise Factors)

  • 정관수
    • 물과 미래
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    • 제29권3호
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    • pp.129-142
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    • 1996
  • 본 연구는 일점 측정을 토대로 연직 유사 농도 계산시 예상되는 입력 자료의 부정확함 때문에 발생하는 오류의 크기를 연구하였다. 오류 가능성이 있는 원인인 채취기의 위치, 수면 및 하상고도, 침강 속도, $\beta$$\kappa$ 값은 미국 리오그란데 강으로부터 얻는 자료를 사용하여 비교, 검증되었다. 그 결과 일점 부유사 채취를 토대로 간편한 유사 농도식과 속도 분포식을 사용하여 평균 유사 농도를 산정할 수 있었다. 이 계산 중에서 가장 불확실한 점은 부유사의 연직 유사 분포식에서 Rouse수인 z였다.

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

  • 정관수
    • 한국수자원학회논문집
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    • 제30권1호
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    • pp.3-13
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    • 1997
  • 멱 유속 분포를 구하기 위해 개정 Prandtl 혼합 거리 이론이 이용되었으며, 여기에서 사용된 지수값의 범위는 1/4~1/7이었다. 이 개정된 유속분포를 이용하여 간단한 부유사 농도 분포식을 개발하였다. 미국 지질조사국이 리오그란데강에서 실측한 자료와 명목값인 $\beta$=1.0, $textsc{k}$=0.4, 그리고 가시관에 의해 얻어진 침강속도를 이용한 개정 농도식 계산결과와 실측지와의 비교는 양호한 편이었으며, 지수에 임의로 두배를 해주었을 경우에는 좋은 결과를 보였다. 적당한 $\beta$, $textsc{k}$, 그리고 침강속도를 선택하기 위해 더 많은 연구가 필요하지만 이러한 연구가 대규모 난류와 이차류 영향에 대한 설명을 할 수는 없을 것이다. 하지만 실용적인 측면에서 보면 어느 관측지점에 대한 매우 자세하고 특별하게 측정된 자료는 그 지점에 맞는 지수나 계수를 찾아낼 수도 있다.

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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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    • 제15권3호
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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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    • 제25권1호
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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.

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

  • 김영준
    • 대한한의학회지
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    • 제40권3호
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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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    • 제3권1호
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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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