• 제목/요약/키워드: moments of L-functions

검색결과 14건 처리시간 0.02초

Exponentiated Quasi Lindley distribution

  • Elbatal, I.;Diab, L.S.;Elgarhy, M.
    • International Journal of Reliability and Applications
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    • 제17권1호
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    • pp.1-19
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    • 2016
  • The Exponentiated Quasi Lindley (EQL) distribution which is an extension of the quasi Lindley Distribution is introduced and its properties are explored. This new distribution represents a more flexible model for the lifetime data. Some statistical properties of the proposed distribution including the shapes of the density and hazard rate functions, the moments and moment generating function, the distribution of the order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters and finally an application of the model with a real data set is presented for the illustration of the usefulness of the proposed distribution.

Generalized Extreme Value 분포 자료의 교차상관과 L-모멘트 추정값의 교차상관의 관계 유도 (Derivation of Relationship between Cross-site Correlation among data and among Estimators of L-moments for Generalize Extreme value distribution)

  • 정대일
    • 대한토목학회논문집
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    • 제29권3B호
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    • pp.259-267
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    • 2009
  • GEV분포는 세계 여러 나라에서 홍수와 극한강우 등의 빈도분포로 널리 활용되고 있다. L-모멘트법은 GEV분포의 매개변수 추정을 위해 일반적으로 사용되고 있는 추정법이다. 본 연구에서는 Monte Carlo 실험을 이용하여 GEV분포를 따르는 서로 다른 두 지점의 자료의 교차상관계수를 이용하여 L-모멘트 추정값인 L-변동계수와 L-왜도계수들 간의 교차상관계수를 Simple Power 함수를 이용하여 유도하였다. 실험과정에서 생성된 비현실적이며 실험결과에 큰 영향을 미치는 음수값들을 배재한 GEV+분포를 이용하였다. 결과로, Simple Power 함수가 두지점간 자료의 교차상관과 L-모멘트 추정값들간의 교차상관 계수의 관계를 잘 모사하고 있음을 확인하였다. 다양한 GEV 분포의 매개변수 조합에 대한 Simple Power 함수의 매개변수 추정값과 정확성은 표로 제시하였다. 또한 위 연구결과를 활용할 수 있는 Generalised Least Square(GLS) 지역회귀 기법에 대해 설명하였다. 따라서 본 연구에서 도출된 관계식은 향후 GLS 회귀식을 이용한 GEV 분포의 지역 매개변수를 추정하는데 있어 L-모멘트 추정값들간의 정확한 교차상관관계를 제시할 수 있을 것으로 기대한다.

Dynamic behaviour of high-sided road vehicles subject to a sudden crosswind gust

  • Xu, Y.L.;Guo, W.H.
    • Wind and Structures
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    • 제6권5호
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    • pp.325-346
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    • 2003
  • High-sided road vehicles are susceptible to a sharp-edged crosswind gust, which may cause vehicle accidents such as overturning, excessive sideslip, or exaggerated rotation. This paper thus investigates the dynamic behaviour and possible accidents of high-sided road vehicles entering a sharp-edged crosswind gust with road surface roughness and vehicle suspension included. The high-sided road vehicle is modelled as a combination of several rigid bodies connected by a series of springs and dampers in both vertical and lateral directions. The random roughness of road surface is generated from power spectral density functions for various road conditions. The empirical formulae derived from wind tunnel test results are employed to determine aerodynamic forces and moments acting on the vehicle. After the governing equations of motion are established, an extensive computation work is performed to examine the effects of road surface roughness and vehicle suspension on the dynamic behaviour and vehicle accidents. It is demonstrated that for the high-sided road vehicle and wind forces specified in the computation, the accident vehicle speed of the road vehicle running on the road of average condition is relatively smaller than that running on the road of very good condition for a given crosswind gust. The vehicle suspension system should be taken into consideration, and the accident vehicle speed becomes smaller if the vehicle suspension system has softer springs and lighter dampers.

Evaluation of shear lag parameters for beam-to-column connections in steel piers

  • Hwang, Won-Sup;Kim, Young-Pil;Park, Yong-Myung
    • Structural Engineering and Mechanics
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    • 제17권5호
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    • pp.691-706
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    • 2004
  • The paper presents shear lag parameters for beam-to-column connections in steel box piers. Previous researches have analyzed beam-to-column connections in steel piers using a shear lag parameter ${\eta}_o$ obtained from a simple beam model, which is not based on a reasonable design assumption. Instead, the current paper proposes a cantilever beam model and has proved the effectiveness through theoretical and experimental studies. The paper examines the inaccuracy of the previous researches by estimating the effective width, the width-span length ratio L/b, and the sectional area ratio S of a cantilever beam. Two different shear lag parameters are defined using the cantilever model and the results are compared each other. The first type of shear lag parameter ${\eta}_c$ of a cantilever beam is derived using additional moments from various stress distribution functions while the other shear lag parameter ${\eta}_{eff}$ of a cantilever beam is defined based on the concept of the effective width. An evaluation method for shear lag stresses has been investigated by comparing analytical stresses with test results. Through the study, it could be observed that the shear lag parameter ${\eta}_{eff}$ agrees with ${\eta}_c$ obtained from the $2^{nd}$ order stress distribution function. Also, it could be observed that the shear lag parameter ${\eta}_c$ using the $4^{th}$ order stress distribution function almost converges to the upper bound of test results.