• 제목/요약/키워드: truncated distribution

검색결과 151건 처리시간 0.023초

Magneto-thermo-elastic analysis of a functionally graded conical shell

  • Mehditabar, A.;Alashti, R. Akbari;Pashaei, M.H.
    • Steel and Composite Structures
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    • 제16권1호
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    • pp.77-96
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    • 2014
  • In this paper, magneto-thermo-elastic problem of a thick truncated conical shell immersed in a uniform magnetic field and subjected to internal pressure is investigated. Material properties of the shell including the elastic modulus, magnetic permeability, coefficients of thermal expansion and conduction are assumed to be isotropic and graded through the thickness obeying the simple power law distribution, while the poison's ratio is assumed to be constant. The temperature distribution is assumed to be a function of the thickness direction. Governing equations of the truncated conical shell are derived in terms of components of displacement and thermal fields and discretised with the help of differential quadrature (DQ) method. Results are obtained for different values of power law index of material properties and effects of thermal load on displacement, stress, temperature and magnetic fields are studied. Results of the present method are compared with those of the finite element method.

Sampling Plans Based on Truncated Life Test for a Generalized Inverted Exponential Distribution

  • Singh, Sukhdev;Tripathi, Yogesh Mani;Jun, Chi-Hyuck
    • Industrial Engineering and Management Systems
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    • 제14권2호
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    • pp.183-195
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    • 2015
  • In this paper, we propose a two-stage group acceptance sampling plan for generalized inverted exponential distribution under truncated life test. Median life is considered as a quality parameter. Design parameters are obtained to ensure that true median life is longer than a given specified life at certain level of consumer's risk and producer's risk. We also explore situations under which design parameters based on median lifetime can be used for other percentile points. Tables and specific examples are reported to explain the proposed plans. Finally a real data set is analyzed to implement the plans in practical situations and some suggestions are given.

trunmnt: An R package for calculating moments in a truncated multivariate normal distribution

  • Lee, Seung-Chun
    • Communications for Statistical Applications and Methods
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    • 제28권6호
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    • pp.673-679
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    • 2021
  • The moment calculation in a truncated multivariate normal distribution is a long-standing problem in statistical computation. Recently, Kan and Robotti (2017) developed an algorithm able to calculate all orders of moment under different types of truncation. This result was implemented in an R package MomTrunc by Galarza et al. (2021); however, it is difficult to use the package in practical statistical problems because the computational burden increases exponentially as the order of the moment or the dimension of the random vector increases. Meanwhile, Lee (2021) presented an efficient numerical method in both accuracy and computational burden using Gauss-Hermit quadrature. This article introduces trunmnt implementation of Lee's work as an R package. The Package is believed to be useful for moment calculations in most practical statistical problems.

Bayesian Estimation of Shape Parameter of Pareto Income Distribution Using LINEX Loss Function

  • Saxena, Sharad;Singh, Housila P.
    • Communications for Statistical Applications and Methods
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    • 제14권1호
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    • pp.33-55
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    • 2007
  • The economic world is full of patterns, many of which exert a profound influence over society and business. One of the most contentious is the distribution of wealth. Way back in 1897, an Italian engineer-turned-economist named Vilfredo Pareto discovered a pattern in the distribution of wealth that appears to be every bit as universal as the laws of thermodynamics or chemistry. The present paper proposes some Bayes estimators of shape parameter of Pareto income distribution in censored sampling. Asymmetric LINEX loss function has been considered to study the effects of overestimation and underestimation. For the prior distribution of the parameter involved a number of priors including one and two-parameter exponential, truncated Erlang and doubly truncated gamma have been contemplated to express the belief of the experimenter s/he has regarding the parameter. The estimators thus obtained have been compared theoretically and empirically with the corresponding estimators under squared error loss function, some of which were reported by Bhattacharya et al. (1999).

제로절단된 이변량 일반화 포아송 분포에서 산포모수의 효과 및 산포의 동일성에 대한 검정 (The Effects of Dispersion Parameters and Test for Equality of Dispersion Parameters in Zero-Truncated Bivariate Generalized Poisson Models)

  • 이동희;정병철
    • 응용통계연구
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    • 제23권3호
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    • pp.585-594
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    • 2010
  • 본 연구에서는 제로절단된 이변량 일반화 포아송 분포에서 두 반응변수간 산포모수의 효과에 대하여 연구하였다. 모의실험 결과 두 반응변수가 서로 다른 산포를 갖는 경우 이를 무시하는 이변량 포아송 분포나 이변량 음이항 분포에 의한 모형적합은 효율성이 떨어지는 것으로 나타났다. 아울러 본 연구에서는 이와 같은 상이한 산포의 존재유무에 대한 가설검정에서 스코어 검정을 유도하고 우도비 검정과 효율성을 비교하였다.

효율적 결빙 시험을 위한 절단 익형 형상 연구 (A Study on Truncated Flapped Airfoil for Efficient Icing Wind Tunnel Test)

  • 정성기;이창훈;나그드위 수리야칸트;명노신;조태환
    • 한국항공우주학회지
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    • 제39권6호
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    • pp.481-486
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    • 2011
  • 결빙 관련 풍동 시험은 과냉각된 액적과 모델의 상사성을 고려하여 실제 크기 모델에 대해 풍동 시험이 이루어져야 하나 풍동 시험장의 공간적 제한으로 전기체에 대한 항공기 결빙은 제한적 혹은 항공기 구성품 단위별로 풍동 시험이 수행된다. 제한된 공간의 결빙 풍동 시험장에서 전기체 형상과 유사한 축적율과 결빙 영역을 조사하기 위해 본 연구에서는 일차적으로 실제 크기의 익형에 대해 Truncated Flapped 개념을 적용하였다. Flap의 변위각에 따른 압력 분포와 축적율의 경향성을 실제 크기의 익형과 Truncated Flapped 익형을 비교한 결과 정량적, 정성적으로 매우 유사한 경향을 나타냄을 확인하였다.

절단된 분포를 이용한 인공신경망에서의 초기값 설정방법 (Initialization by using truncated distributions in artificial neural network)

  • 김민종;조성철;정혜린;이영섭;임창원
    • 응용통계연구
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    • 제32권5호
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    • pp.693-702
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    • 2019
  • 딥러닝은 대용량의 데이터의 분류 및 예측하는 방법으로 각광받고 있다. 데이터의 양이 많아지면서 신경망의 구조는 더 깊어 지고 있다. 이때 초기값이 지나치게 클 경우 층이 깊어 질수록 활성화 함수의 기울기가 매우 작아지는 포화(Saturation)현상이 발생한다. 이러한 포화현상은 가중치의 학습능력을 저하시키는 현상을 발생시키기 때문에 초기값의 중요성이 커지고 있다.이런 포화현상 문제를 해결하기 위해 Glorot과 Bengio (2010)과 He 등 (2015) 층과 층 사이에 데이터가 다양하게 흘러야 효율적인 신경망학습이 가능하고 주장했다. 데이터가 다양하게 흐르기 위해서는 각 층의 출력에 대한 분산과 입력에 대한 분산이 동일해야 한다고 제안했다. Glorot과 Bengio (2010)과 He 등 (2015)는 각 층별 활성화 값의 분산이 같다고 가정해 초기값을 설정하였다. 본 논문에서는 절단된 코쉬 분포와 절단된 정규분포를 활용하여 초기값을 설정하는 방안을 제안한다. 출력에 대한 분산과 입력에 대한 분산의 값을 동일하게 맞춰주고 그 값이 절단된 확률분포의 분산과 같게 적용함으로써 큰 초기값이 나오는 걸 제한하고 0에 가까운 값이 나오도록 분포를 조정하였다. 제안된 방법은 MNIST 데이터와 CIFAR-10 데이터를 DNN과 CNN 모델에 각각 적용하여 실험함으로써 기존의 초기값 설정방법보다 모델의 성능을 좋게 한다는 것을 보였다.

Burial and scour of truncated cones due to long-crested and short-crested nonlinear random waves

  • Myrhaug, Dag;Ong, Muk Chen
    • Ocean Systems Engineering
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    • 제4권1호
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    • pp.21-37
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    • 2014
  • This paper provides a practical stochastic method by which the burial and scour depths of truncated cones exposed to long-crested (2D) and short-crested (3D) nonlinear random waves can be derived. The approach is based on assuming the waves to be a stationary narrow-band random process, adopting the Forristall (2000) wave crest height distribution representing both 2D and 3D nonlinear random waves. Moreover, the formulas for the burial and the scour depths for regular waves presented by Catano-Lopera et al. (2011) for truncated cones are used. An example of calculation is also presented.

스킨스쿠버 해양어촌관광의 경제적 가치 추정: 제주도를 대상으로 (Estimating the Economic Value of Skin Scuba Marine Tourism: Focused on Jeju Island)

  • 강석규
    • 수산경영론집
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    • 제47권1호
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    • pp.21-29
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    • 2016
  • The purpose of this study is to estimate the economic value of skin scuba marine tourism activity in Jeju Island. The economic value is estimated as consumer surplus using count data models including the truncated Poisson model and the truncated negative binominal distribution model. This study collects the effective 369 questionnaires from skin scuba marine tourists through three times in Jeju Island. The truncated Poisson model was statistically more suitable and valid than other models. The truncated Poisson model was applied to estimate consumer surplus as economic value from skin scuba in Jeju Island. A consumer surplus value per trip was estimated as about 4,081,633 won. The annual economic value from skin scuba marine tourism activity was estimated as 8,428,571 won in Jeju Island. Consequently, skin scuba marine tourism activity has a very large economic value in Jeju Island.

Recurrence Relation and Characterization of The Rayleigh Distribution Using Order Statistics

  • Lee, In-Suk;Kim, Sang-Moon
    • Journal of the Korean Data and Information Science Society
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    • 제10권2호
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    • pp.299-311
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    • 1999
  • In this paper the single and product moments of order statistics of the doubly truncated Rayleigh distribution are studied. Some recurrence relations of order statistics are derived. Using order statistics, also characterization of the Rayleigh distribution are derived.

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