• Title/Summary/Keyword: Normal

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Projected Circular and l-Axial Skew-Normal Distributions

  • Seo, Han-Son;Shin, Jong-Kyun;Kim, Hyoung-Moon
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.879-891
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    • 2009
  • We developed the projected l-axial skew-normal(LASN) family of distributions for I-axial data. The LASN family of distributions contains the semicircular skew-normal(SCSN) and the circular skew-normal(CSN) families of distributions as special cases. The LASN densities are similar to the wrapped skew-normal densities for the small values of the scale parameter. However CSN densities have more heavy tails than those of the wrapped skew-normal densities on the circle. Furthermore the CSN densities have two modes as the scale parameter increases. The LASN distribution has very convenient mathematical features. We extend the LASN family of distributions to a bivariate case.

Shear Load characteristics of drilled shafts considering socket-roughness in Constant Normal Stiffness(CNS) Test (일정수직강성시험을 통한 암반근입 현장타설말뚝의 주면마찰력특성분석)

  • Jeong, Sang-Seom;Jung, Woo-Hyun;Seol, Hoon-Il
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.10a
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    • pp.489-498
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    • 2005
  • In this study, the shaft resistance of drilled shafts socketed into weathered-and soft-rocks was examined by the constant normal stiffness(CNS) test. Large scale model tests were performed for different unconfined compressive strength, socket roughness, initial normal stress, and normal stiffness for identifying shear load transfer characteristics. Through comparisons with previous studies, it is found that the results by the present approach is good agreement with the general trend observed by existing empirical and analytical results.

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Further Results on Characteristic Functions Without Contour Integration

  • Song, Dae-Kun;Kang, Seul-Ki;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • v.21 no.5
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    • pp.461-469
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    • 2014
  • Characteristic functions play an important role in probability and statistics; however, a rigorous derivation of these functions requires contour integration, which is unfamiliar to most statistics students. Without resorting to contour integration, Datta and Ghosh (2007) derived the characteristic functions of normal, Cauchy, and double exponential distributions. Here, we derive the characteristic functions of t, truncated normal, skew-normal, and skew-t distributions. The characteristic functions of normal, cauchy distributions are obtained as a byproduct. The derivations are straightforward and can be presented in statistics masters theory classes.

ON 3-DIMENSIONAL NORMAL ALMOST CONTACT METRIC MANIFOLDS SATISFYING CERTAIN CURVATURE CONDITIONS

  • De, Uday Chand;Mondal, Abul Kalam
    • Communications of the Korean Mathematical Society
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    • v.24 no.2
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    • pp.265-275
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    • 2009
  • The object of the present paper is to study 3-dimensional normal almost contact metric manifolds satisfying certain curvature conditions. Among others it is proved that a parallel symmetric (0, 2) tensor field in a 3-dimensional non-cosympletic normal almost contact metric manifold is a constant multiple of the associated metric tensor and there does not exist a non-zero parallel 2-form. Also we obtain some equivalent conditions on a 3-dimensional normal almost contact metric manifold and we prove that if a 3-dimensional normal almost contact metric manifold which is not a ${\beta}$-Sasakian manifold satisfies cyclic parallel Ricci tensor, then the manifold is a manifold of constant curvature. Finally we prove the existence of such a manifold by a concrete example.

Experimental investigation on steel-concrete bond in lightweight and normal weight concrete

  • Chen, How-Ji;Huang, Chung-Ho;Kao, Zhang-Yu
    • Structural Engineering and Mechanics
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    • v.17 no.2
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    • pp.141-152
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    • 2004
  • The bonding behaviors of Lightweight Aggregate Concrete (LWAC) and normal weight concrete were investigated experimentally. Pull-out tests were carried out to measure the bond strengths of three groups of specimens with compressive strength levels of 60, 40, and 20 MPa, respectively. Test results showed that the difference in the bond failure pattern between LWAC and normal weight concrete was significant as the concrete compressive strength became lower than 40 MPa. The corresponding bond strengths of LWAC were lower than that for normal weight concrete. As the compressive strength of concrete became relatively high (> 40 MPa), a bond failure pattern in normal weight concrete occurred that was similar to that in LWAC. The bond strength of LWAC is higher than that for normal weight concrete because it possesses higher mortar strength. Stirrup use leads to an increase of approximately 20% in nominal bond strength for both types of concrete at any strength level.

Saddlepoint Approximation to the Linear Combination Based on Multivariate Skew-normal Distribution (다변량 왜정규분포 기반 선형결합통계량에 대한 안장점근사)

  • Na, Jonghwa
    • The Korean Journal of Applied Statistics
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    • v.27 no.5
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    • pp.809-818
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    • 2014
  • Multivariate skew-normal distribution(distribution that includes multivariate normal distribution) has been recently applied to many application areas. We consider saddlepoint approximation for a statistic of linear combination based on a multivariate skew-normal distribution. This approach can be regarded as an extension of Na and Yu (2013) that dealt saddlepoint approximation for the distribution of a skew-normal sample mean for a linear statistic and multivariate version. Simulations results and examples with real data verify the accuracy and applicability of suggested approximations.

Blood Chemical Investigations on Liver Diseases of Holstein Cattle (젖소에서의 간질환 진단을 위한 혈액화학치의 조사)

  • Lee Kyoung-Kap;Choi Hee-In
    • Journal of Veterinary Clinics
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    • v.3 no.1
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    • pp.255-263
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    • 1986
  • The incidences of liver abscess, fatty liver and fascioliasis were 11.9%, 23.2% and 36.0%, respectively in 211 Holstein cattle observed at the slaughter house. Blood chemical values of them were measured. The results were as follows : 1. Liver abscess group was significantly higher than normal group in the levels of SDH, AST, TP, globulin and fibrinogen, but it was significantly lower than normal group in the levels of albumin and A/G ratio (p<0.01). 2. Fatty liver group was significantly higher than normal group in the levels of SDH, AST, OCT, TP and globulin, but it was significantly lower than normal group in the levels of albumin and A/G ratio (p<0.01). 3. Fasciolisais group was significantly higher than normal group in the levels of AST. TP and globulin (p<0.01), but it was significantly lower than normal group in the levels of albumin and A/G ratio (p<0.01).

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Normal Variants and Artifacts in Bone Scan: Potential for Errors in Interpretation (골스캔 판독시 오류를 범할 수 있는 정상 변이소견 및 인공물)

  • Sohn, Myung-Hee
    • The Korean Journal of Nuclear Medicine
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    • v.38 no.1
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    • pp.1-20
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    • 2004
  • Bone scan is one of the most frequently peformed studios in nuclear medicine. In bone scan, the amount of radiolsotope taken up by lesion depends primarily on the local rate of bone turnover rather than on the bone mass. Bone scan is extremely sensitive for defecting bony abnormalities. However, abnormalities that appear on bone scan may not always represent disease. The normal scan appearances may be affected not only by skeletal physiology and anatomy but also by a variety of technical factors which can influence image quality. Many normal variants and artifacts may appear on bone scan. They could simulate a pathologic process and could mislead into the wrong diagnostic interpretation. Therefore, their recognition is necessary to avoid misdiagnosis. A nuclear medicine physician should be aware of variable appearance of the normal variants and artifacts on bone scan. In this article, a variety of normal variants and artifacts mimicking real pathologic lesion in bone scan interpretation are discussed and illustrated.

Study on Statistical Distributions for the Mechanical Properties of Thinning Crop-Trees from Pinus koraiensis (잣나무 간벌재(間伐材)의 기계적(機械的) 성질(性質)에 대(對)한 이론적(理論的) 통계(統計) 분포(分布) 연구(硏究))

  • Cha, Jae-Kyung
    • Journal of the Korean Wood Science and Technology
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    • v.21 no.4
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    • pp.55-59
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    • 1993
  • 한국의 중서부 지역에서 주로 벌채한 잣나무 간벌 제재목을 경기도 광주 소재 제재소에서 무작위로 추출하여 구입하였다. 본 연구는 휨강도 시험을 표준 시험 방법에 의하여 실시하였다. 각 무결점 시편으로부터 측정한 영 계수와 휨 강도에 대하여 이론적 통계 분포인 정상 분포, Log-normal 분포, Weibull 분포를 계산하여 비교하였다. Weibull 분포가 휨영계수 및 휨강도 모두에 적합하였으며, Log-normal 분포는 영계수 분포에 대한 이용에 적합하였다. 휨강도 분포에서는 Normal 분포가 Log-normal 분포보다 적합하다.

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Nondestructive Classification between Normal and Artificially Aged Corn (Zea mays L.) Seeds Using Near Infrared Spectroscopy

  • Min, Tai-Gi;Kang, Woo-Sik
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.53 no.3
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    • pp.314-319
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    • 2008
  • Near infrared (NIR) spectroscopy was used to classify normal and artificially aged nonviable corn (Zea mays L., cv. 'Suwon19') seeds. The spectra at 1100-2500nm were scanned with normal and artificially aged single seeds and analyzed by principle component analysis (PCA). To discriminate normal seeds from artificially aged seeds, a calibration modeling set was developed with a discriminant partial least square 2 (PLS 2) method. The calibration model derived from PLS 2 resulted in 100% classification accuracy of normal and artificially aged (aged) seeds from the raw, the 1st and 2nd derivative spectra. The prediction accuracy of the unknown normal seeds was 88, 100 and 97% from the raw, the $1^{st}$ and $2^{nd}$ derivative spectra, and that of the unknown aged seeds was 100% from all the raw, the $1^{st}$ and $2^{nd}$ derivative spectra, respectively. The results showed a possibility to separate corn seeds into viable and non-viable using NIR spectroscopy.