• 제목/요약/키워드: maximum lifetime

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A Note on Estimating Parameters in The Two-Parameter Weibull Distribution

  • Rahman, Mezbahur;Pearson, Larry M.
    • Journal of the Korean Data and Information Science Society
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    • 제14권4호
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    • pp.1091-1102
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    • 2003
  • The Weibull variate is commonly used as a lifetime distribution in reliability applications. Estimation of parameters is revisited in the two-parameter Weibull distribution. The method of product spacings, the method of quantile estimates and the method of least squares are applied to this distribution. A comparative study between a simple minded estimate, the maximum likelihood estimate, the product spacings estimate, the quantile estimate, the least squares estimate, and the adjusted least squares estimate is presented.

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Parameters Estimators for the Generalized Exponential Distribution

  • Abuammoh, A.;Sarhan, A.M.
    • International Journal of Reliability and Applications
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    • 제8권1호
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    • pp.17-25
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    • 2007
  • Maximum likelihood method is utilized to estimate the two parameters of generalized exponential distribution based on grouped and censored data. This method does not give closed form for the estimates, thus numerical procedure is used. Reliability measures for the generalized exponential distribution are calculated. Testing the goodness of fit for the exponential distribution against the generalized exponential distribution is discussed. Relevant reliability measures of the generalized exponential distributions are also evaluated. A set of real data is employed to illustrate the results given in this paper.

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A Note on a New Two-Parameter Lifetime Distribution with Bathtub-Shaped Failure Rate Function

  • Wang, F.K.
    • International Journal of Reliability and Applications
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    • 제3권1호
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    • pp.51-60
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    • 2002
  • This paper presents the methodology for obtaining point and interval estimating of the parameters of a new two-parameter distribution with multiple-censored and singly censored data (Type-I censoring or Type-II censoring) as well as complete data, using the maximum likelihood method. The basis is the likelihood expression for multiple-censored data. Furthermore, this model can be extended to a three-parameter distribution that is added a scale parameter. Then, the parameter estimation can be obtained by the graphical estimation on probability plot.

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Estimation of Genetic Parameters and Trends for Length of Productive Life and Lifetime Production Traits in a Commercial Landrace and Yorkshire Swine Population in Northern Thailand

  • Noppibool, Udomsak;Elzo, Mauricio A.;Koonawootrittriron, Skorn;Suwanasopee, Thanathip
    • Asian-Australasian Journal of Animal Sciences
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    • 제29권9호
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    • pp.1222-1228
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    • 2016
  • The objective of this research was to estimate genetic parameters and trends for length of productive life (LPL), lifetime number of piglets born alive (LBA), lifetime number of piglets weaned (LPW), lifetime litter birth weight (LBW), and lifetime litter weaning weight (LWW) in a commercial swine farm in Northern Thailand. Data were gathered during a 24-year period from July 1989 to August 2013. A total of 3,109 phenotypic records from 2,271 Landrace (L) and 838 Yorkshire sows (Y) were analyzed. Variance and covariance components, heritabilities and correlations were estimated using an Average Information Restricted Maximum Likelihood (AIREML) procedure. The 5-trait animal model contained the fixed effects of first farrowing year-season, breed group, and age at first farrowing. Random effects were sow and residual. Estimates of heritabilities were medium for all five traits ($0.17{\pm}0.04$ for LPL and LBA to $0.20{\pm}0.04$ for LPW). Genetic correlations among these traits were high, positive, and favorable (p<0.05), ranging from $0.93{\pm}0.02$ (LPL-LWW) to $0.99{\pm}0.02$ (LPL-LPW). Sow genetic trends were non-significant for LPL and all lifetime production traits. Sire genetic trends were negative and significant for LPL ($-2.54{\pm}0.65d/yr$; p = 0.0007), LBA ($-0.12{\pm}0.04piglets/yr$; p = 0.0073), LPW ($-0.14{\pm}0.04piglets/yr$; p = 0.0037), LBW ($-0.13{\pm}0.06kg/yr$; p = 0.0487), and LWW ($-0.69{\pm}0.31kg/yr$; p = 0.0365). Dam genetic trends were positive, small and significant for all traits ($1.04{\pm}0.42d/yr$ for LPL, p = 0.0217; $0.16{\pm}0.03piglets/yr$ for LBA, p<0.0001; $0.12{\pm}0.03piglets/yr$ for LPW, p = 0.0002; $0.29{\pm}0.04kg/yr$ for LBW, p<0.0001 and $1.23{\pm}0.19kg/yr$ for LWW, p<0.0001). Thus, the selection program in this commercial herd managed to improve both LPL and lifetime productive traits in sires and dams. It was ineffective to improve LPL and lifetime productive traits in sows.

센서 네트워크를 위한 최대 잔류 에너지 제한 Directed Diffusion 라우팅 알고리즘의 설계 및 성능 분석 (Design and Performance Evaluation of Maximum Remaining Energy Constrained Directed Diffusion Routing Algorithm for Wireless Sensor Networks)

  • 황안규;이재용;김병철
    • 한국통신학회논문지
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    • 제30권11A호
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    • pp.995-1003
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    • 2005
  • 센서 네트워크를 구성하는 각 센서 노드는 대체로 크기가 작고 배터리의 용량이 한정되어 있기 때문에 에너지소모를 줄이는 방안이 연구되고 있다. 센서 노드는 자신의 위치에 따라서 이벤트 감지와 데이터 전송 펀수 등에 의해 다른 노드와 서로 다른 에너지 소비율을 보일 수 있으며 노드간의 수명도 다르게 된다. 따라서 특정 노드의 에너지 고갈로 경로 단절에 의해 망의 수명을 단축시킬 수 있다. 본 논문에서는 센서 네트워크에서 데이터 전송을 위한 경로 선택에 있어, 남아 있는 에너지가 많은 노드 중에 최소 에너지를 소모하는 경로를 선택함으로써 망의 수명을 연장하고 전체적인 에너지 소비율을 비슷하게 유지하는 라우팅 알고리즘을 제안하였다. 제안된 알고리즘의 목적은 센서 네트워크의 수명을 오래 유지하고 각 센서노드의 에너지를 골고루 사용함에 있다. 시뮬레이션을 통해 기존에 제안된 센서 네트워크 라우팅 알고리즘보다 망의 수명이 개선되고 각 노드의 잔류에너지 분포가 더 균일하여 망의 신뢰성이 높아짐을 보였다.

회전 가능한 방향센서네트워크에서 타겟 커버리지 스케줄링 향상 기법 (An Enhanced Scheme of Target Coverage Scheduling m Rotatable Directional Sensor Networks)

  • 김찬명;한연희;길준민
    • 한국통신학회논문지
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    • 제36권8A호
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    • pp.691-701
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    • 2011
  • 방향센서네트워크에서 주어진 모든 타켓을 관측하고 관측한 데이터를 싱크노드까지 전달한다는 요구사항을 유지하면서 에너지를 효율적으로 절약하여 전체 네트워크 수명을 최대화하는 것은 중요한 문제이다. 본 논문에서는 이와 관련하여 Maximum Directional Cover Tree(MDCT) 문제를 제시하고 방향센서들을 그룹화하여 네트워크 수명을 최대화하는 문제를 다룬다. 모든 타켓을 관측하고 관측한 데이터를 싱크노드까지 전달하는데 참여하는 센서들을 활성상태로 설정하고 그렇지 않은 센서들은 수면상태로 설정함으로써 에너지를 효율적으로 활용할 수 있는 휴리스틱 알고리즘인 Directional Coverage and Connectivity (DCC)-greedy 알고리즘을 제시하여 MDCT문제를 해결한다. 제안 알고리즘에서는 타켓을 관측하고 관측한 데이터 전달에 드는 에너지 외에 방향 회전에너지까지 고려함으로써 방향센서가 소비하는 에너지를 좀 더 정확하게 고려한다 마지막으로 시뮬레이션을 통해 제안 알고리즘이 네트워크 수명을 증가시킬 수 있음을 보인다.

The Marshall-Olkin generalized gamma distribution

  • Barriga, Gladys D.C.;Cordeiro, Gauss M.;Dey, Dipak K.;Cancho, Vicente G.;Louzada, Francisco;Suzuki, Adriano K.
    • Communications for Statistical Applications and Methods
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    • 제25권3호
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    • pp.245-261
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    • 2018
  • Attempts have been made to define new classes of distributions that provide more flexibility for modelling skewed data in practice. In this work we define a new extension of the generalized gamma distribution (Stacy, The Annals of Mathematical Statistics, 33, 1187-1192, 1962) for Marshall-Olkin generalized gamma (MOGG) distribution, based on the generator pioneered by Marshall and Olkin (Biometrika, 84, 641-652, 1997). This new lifetime model is very flexible including twenty one special models. The main advantage of the new family relies on the fact that practitioners will have a quite flexible distribution to fit real data from several fields, such as engineering, hydrology and survival analysis. Further, we also define a MOGG mixture model, a modification of the MOGG distribution for analyzing lifetime data in presence of cure fraction. This proposed model can be seen as a model of competing causes, where the parameter associated with the Marshall-Olkin distribution controls the activation mechanism of the latent risks (Cooner et al., Statistical Methods in Medical Research, 15, 307-324, 2006). The asymptotic properties of the maximum likelihood estimation approach of the parameters of the model are evaluated by means of simulation studies. The proposed distribution is fitted to two real data sets, one arising from measuring the strength of fibers and the other on melanoma data.

Inverted exponentiated Weibull distribution with applications to lifetime data

  • Lee, Seunghyung;Noh, Yunhwan;Chung, Younshik
    • Communications for Statistical Applications and Methods
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    • 제24권3호
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    • pp.227-240
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    • 2017
  • In this paper, we introduce the inverted exponentiated Weibull (IEW) distribution which contains exponentiated inverted Weibull distribution, inverse Weibull (IW) distribution, and inverted exponentiated distribution as submodels. The proposed distribution is obtained by the inverse form of the exponentiated Weibull distribution. In particular, we explain that the proposed distribution can be interpreted by Marshall and Olkin's book (Lifetime Distributions: Structure of Non-parametric, Semiparametric, and Parametric Families, 2007, Springer) idea. We derive the cumulative distribution function and hazard function and calculate expression for its moment. The hazard function of the IEW distribution can be decreasing, increasing or bathtub-shaped. The maximum likelihood estimation (MLE) is obtained. Then we show the existence and uniqueness of MLE. We can also obtain the Bayesian estimation by using the Gibbs sampler with the Metropolis-Hastings algorithm. We also give applications with a simulated data set and two real data set to show the flexibility of the IEW distribution. Finally, conclusions are mentioned.

MFT 기법을 이용한 정지위성의 남/북 위치보존 (NORTH/SOUTH STATION KEEPING OF GEOSTATIONARY SATELLITE USING MFT)

  • 안웅영;김천휘;박봉규
    • Journal of Astronomy and Space Sciences
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    • 제14권1호
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    • pp.150-157
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    • 1997
  • 인공위성의 궤도경사각을 제어하는 남/북 위치보존은 많은 연료를 소모하기 때문에 연료량을 효율적으로 절감할 수 있는 방법의 연구가 중요하다. 이를 위하여 궤도경사각의 변화를 영년항과 주기항으로 나누어 영년변화만을 보정함으로써 기동 연료량을 줄이는 MFT(Minimum Fuel Target)기법을 이용하여 무궁화 위성의 남/북 위치보존을 모의실험하였다. 임무기간(약 10년)동안 모의 실험한 결과를 남/북 위치보존을 위한 다른 두가지 방법인 MCT(Maximum Compensation Target)기법과 TBCT(Track-Back Cho가 Target) 기법으로 구한 연료량과 비교하였다. MFT 기법을 사용할 경우 두 기법에 비해 각각 최소 47일과 15일의 임무기간이 연장되는 것으로 나타났다.

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