• 제목/요약/키워드: Unimodal

검색결과 172건 처리시간 0.027초

Improved Statistical Testing of Two-class Microarrays with a Robust Statistical Approach

  • Oh, Hee-Seok;Jang, Dong-Ik;Oh, Seung-Yoon;Kim, Hee-Bal
    • Interdisciplinary Bio Central
    • /
    • 제2권2호
    • /
    • pp.4.1-4.6
    • /
    • 2010
  • The most common type of microarray experiment has a simple design using microarray data obtained from two different groups or conditions. A typical method to identify differentially expressed genes (DEGs) between two conditions is the conventional Student's t-test. The t-test is based on the simple estimation of the population variance for a gene using the sample variance of its expression levels. Although empirical Bayes approach improves on the t-statistic by not giving a high rank to genes only because they have a small sample variance, the basic assumption for this is same as the ordinary t-test which is the equality of variances across experimental groups. The t-test and empirical Bayes approach suffer from low statistical power because of the assumption of normal and unimodal distributions for the microarray data analysis. We propose a method to address these problems that is robust to outliers or skewed data, while maintaining the advantages of the classical t-test or modified t-statistics. The resulting data transformation to fit the normality assumption increases the statistical power for identifying DEGs using these statistics.

충격기류식 여과집진기에서 경험모델을 이용한 최소압력손실의 분사거리 예측 (The Prediction of Injection Distances for the Minimization of the Pressure Drop by Empirical Static Model in a Pulse Air Jet Bag Filter)

  • 서정민;박정호;임우택
    • 한국환경과학회지
    • /
    • 제20권1호
    • /
    • pp.25-34
    • /
    • 2011
  • The new empirical static model was constructed on the basis of dimension analysis to predict the pressure drop according to the operating conditions. The empirical static model consists of the initial pressure drop term (${\Delta}P_{initial}$) and the dust mass number term($N_{dust}=\frac{{\omega}_0{\nu}_f}{P_{pulse}t}$), and two parameters (dust deposit resistance and exponent of dust mass number) have been estimated from experimental data. The optimum injection distance was identified in the 64 experimental data at the fixed filtration velocity and pulse pressure. The dust deposit resistance ($K_d$), one of the empirical static model parameters got the minimum value at d=0.11m, at which the total pressure drop was minimized. The exponent of dust mass number was interpreted as the elasticity of pressure drop to the dust mass number. The elasticity of the unimodal behavior had also a maximum value at d=0.11m, at which the pressure drop increased most rapidly with the dust mass number. Additionally, the correlation coefficient for the new empirical static model was 0.914.

$Ce-TZP/Al_2O_3$ 세라믹 복합재료의 소결과 미세구조 (Sintering and Microstructure of $Ce-TZP/Al_2O_3$ Ceramic Composite)

  • 박홍채;홍상희;이윤복;오기동
    • 한국세라믹학회지
    • /
    • 제31권7호
    • /
    • pp.703-714
    • /
    • 1994
  • Sintering and microstructure of Ce-TZP/Al2O3 composite with $\alpha$-Al2O3 matrix containing dispersed 5~50 vol% ZrO2 were discussed. Sintered density was increased with elevating forming pressure in range of 6~300 MPa and about >99.2% of theoretical density was obtained at 1$600^{\circ}C$ for 2h in case of 300 MPa of 6~300 MPa uniaxially cold-pressed compacts containing 20 vol% ZrO2. All kinds of different batch composition exhibited nearly the same shrinkage behaviour with end-point shrinkage between 20 and 24%, and had the maximum shrinkage rate (0.41~0.54%/min) around 140$0^{\circ}C$. Grain growth was occurred faster in $\alpha$-Al2O3 than in {{{{ gamma }}-Al2O3 starting matrix during sintering at 1$600^{\circ}C$. Bimodal pore size distribution of interaglomerate pores with size of 0.03~0.2 ${\mu}{\textrm}{m}$ and of interaglomerate pores with size of around 60 ${\mu}{\textrm}{m}$ was obtained in Ce-TZP/$\alpha$-Al2O3 composite sintered at 130$0^{\circ}C$. But unimodal pore size distribution with around 0.1 ${\mu}{\textrm}{m}$ was observed in Ce-TZP/{{{{ gamma }}-Al2O3 composite sintered at the same temperature. Microcracks were occurred due to the tlongrightarrowm transformation of ZrO2 on cooling process.

  • PDF

겹친라플라스 혼합분포를 통한 첨 다봉형 비대칭 원형자료의 모형화 (Modeling sharply peaked asymmetric multi-modal circular data using wrapped Laplace mixture)

  • 나종화;장영미
    • Journal of the Korean Data and Information Science Society
    • /
    • 제21권5호
    • /
    • pp.863-871
    • /
    • 2010
  • 지금까지 원형자료의 적합에 대한 연구는 주로 von Mises, 겹친왜정규 분포를 비롯하여 주로 완만한 봉우리를 가지는 대칭 및 비대칭의 경우에 대해 수행되어 왔다. 본 논문에서는 뾰족한 봉우리를 가지며 정점을 중심으로 비대칭의 경향이 심한 첨봉형의 비대칭 원형자료에 대한 적합을 다루었다. 최근 Jammalamadaka와 Kozubowski (2003)가 소개한 겹친라플라스 분포와 그의 혼합분포를 중심으로 단봉형 및 다봉형의 원형자료에 대한 모형화 과정을 다루었다. 특히 혼합분포의 모수추정을 위해 EM 알고리즘을 사용하였으며, 모의실험을 통해 그 정확도를 확인하였다.

동적인 교차 및 동연변이 확률을 갖는 균일 교차방식 유전 알고리즘 (A genetic algorithm with uniform crossover using variable crossover and mutation probabilities)

  • 김성수;우광방
    • 제어로봇시스템학회논문지
    • /
    • 제3권1호
    • /
    • pp.52-60
    • /
    • 1997
  • In genetic algorithms(GA), a crossover is performed only at one or two places of a chromosome, and the fixed probabilities of crossover and mutation have been used during the entire generation. A GA with dynamic mutation is known to be superior to GAs with static mutation in performance, but so far no efficient dynamic mutation method has been presented. Accordingly in this paper, a GA is proposed to perform a uniform crossover based on the nucleotide(NU) concept, where DNA and RNA consist of NUs and also a concrete way to vary the probabilities of crossover and mutation dynamically for every generation is proposed. The efficacy of the proposed GA is demonstrated by its application to the unimodal, multimodal and nonlinear control problems, respectively. Simulation results show that in the convergence speed to the optimal value, the proposed GA was superior to existing ones, and the performance of GAs with varying probabilities of the crossover and the mutation improved as compared to GAs with fixed probabilities of the crossover and mutation. And it also shows that the NUs function as the building blocks and so the improvement of the proposed algorithm is supported by the building block hypothesis.

  • PDF

Application of the Weibull-Poisson long-term survival model

  • Vigas, Valdemiro Piedade;Mazucheli, Josmar;Louzada, Francisco
    • Communications for Statistical Applications and Methods
    • /
    • 제24권4호
    • /
    • pp.325-337
    • /
    • 2017
  • In this paper, we proposed a new long-term lifetime distribution with four parameters inserted in a risk competitive scenario with decreasing, increasing and unimodal hazard rate functions, namely the Weibull-Poisson long-term distribution. This new distribution arises from a scenario of competitive latent risk, in which the lifetime associated to the particular risk is not observable, and where only the minimum lifetime value among all risks is noticed in a long-term context. However, it can also be used in any other situation as long as it fits the data well. The Weibull-Poisson long-term distribution is presented as a particular case for the new exponential-Poisson long-term distribution and Weibull long-term distribution. The properties of the proposed distribution were discussed, including its probability density, survival and hazard functions and explicit algebraic formulas for its order statistics. Assuming censored data, we considered the maximum likelihood approach for parameter estimation. For different parameter settings, sample sizes, and censoring percentages various simulation studies were performed to study the mean square error of the maximum likelihood estimative, and compare the performance of the model proposed with the particular cases. The selection criteria Akaike information criterion, Bayesian information criterion, and likelihood ratio test were used for the model selection. The relevance of the approach was illustrated on two real datasets of where the new model was compared with its particular cases observing its potential and competitiveness.

The mass of the high-z (z~1.132) massive galaxy cluster, SPT-CL J2106-5844 using weak-lensing analysis with HST observations

  • Kim, Jinhyub;Jee, Myungkook James;Ko, Jongwan
    • 천문학회보
    • /
    • 제42권1호
    • /
    • pp.29.4-30
    • /
    • 2017
  • Korea Astronomy and Space Science Institute We present a weak-lensing study of the galaxy cluster SPT-CL J2106-5844 at z=1.132 discovered in the South Pole Telescope Sunyaev-Zel'dovich (SPT-SZ) survey. The cluster is claimed to be the most massive system at z > 1 in the SPT-SZ survey. The inferred mass ($M_{200c}=(1.27{\pm}0.21){\times}10^{15}M_{sun}$) is somewhat unusual at such a high redshift given the current ΛCDM prediction. The mass estimates, however, may be biased because the hydrostatic assumption may not hold when the universe was about 40% of the current age. In this work, we reconstruct the dark matter distribution and measure the mass of this interesting cluster using weak-lensing analysis based on the images from the Advanced Camera for Surveys and Wide Field Camera 3 on-board the Hubble Space Telescope. We find that the mass distribution of the cluster is unimodal with no significant substructures. The centroid of the dark matter agrees with both galaxy luminosity and number density distributions, as well as the hot gas centroid. We confirm that the cluster is indeed extremely massive ($M_{200c}=(1.81{\pm}0.47){\times}10^{15}M_{sun}$) supporting the previous non-lensing measurements. We also discuss the rarity of the cluster in the ΛCDM cosmology, comparing with the expected abundance of similarly massive clusters.

  • PDF

수원지역의 대기 중 Pb의 농도 결정 (Determination of Atmospheric Lead in Suwon City)

  • 이태정;김성천;김동술
    • 한국환경과학회지
    • /
    • 제4권5호
    • /
    • pp.535-542
    • /
    • 1995
  • Monitoring of lead concentration in the ambient alt was performed in Kyung Hee University-Suwon Campus over a period of 5 year from November 1989 to September 1994 using a cascade impactor having 9 size stages. Lead level was analyzed by x-ray fluorescence. The lead levels have been extensively examined to identify annual trends, seasonal variations, and size distribution of lead concentration. Even though consumption of leaded gasoline has been decreased, the levels have not significantly changed during the sampling period. Probably other sources like fossil fuel emission and refuse incinerator will be potential contributors. The seasonal variation showed that Pb concentration significantly increased in the winter season and decreased in the summer season. The size distributions of Pb were observed to be unimodal distribution of the 1.1~2.1 $mu extrm{m}$ sixte ranges in the winter and 0.65~1.1 ${\mu}{\textrm}{m}$ in the summer.

  • PDF

수원지역의 대기 중 Pb의 농도 결정 (Determination of Atmospheric Lead in Suwon City)

  • 이태정;김성천;김동술
    • 한국환경과학회지
    • /
    • 제4권5호
    • /
    • pp.149-149
    • /
    • 1995
  • Monitoring of lead concentration in the ambient alt was performed in Kyung Hee University-Suwon Campus over a period of 5 year from November 1989 to September 1994 using a cascade impactor having 9 size stages. Lead level was analyzed by x-ray fluorescence. The lead levels have been extensively examined to identify annual trends, seasonal variations, and size distribution of lead concentration. Even though consumption of leaded gasoline has been decreased, the levels have not significantly changed during the sampling period. Probably other sources like fossil fuel emission and refuse incinerator will be potential contributors. The seasonal variation showed that Pb concentration significantly increased in the winter season and decreased in the summer season. The size distributions of Pb were observed to be unimodal distribution of the 1.1∼2.1 $mu extrm{m}$ sixte ranges in the winter and 0.65∼1.1 ㎛ in the summer.

지리산 국립공원 해발 865 m 지점에서 대기에어로졸입자의 입경별 질량농도 특성 (Mass Size Distribution of Atmospheric Aerosol Particles Collected at 865 m High of Jirisan National Park)

  • 류혜지;박정호
    • 한국환경과학회지
    • /
    • 제26권1호
    • /
    • pp.29-36
    • /
    • 2017
  • Aerosol mass size distributions were investigated at 865 m high the of Jirisan national park. A nanosampler cascade impactor was used to collect aerosols. The atmospheric aerosol particles had a unimodal mass size distribution, which peaked at $0.5-1.0{\mu}m$, and a mass aerodynamic diameter of $1.13{\mu}m$. The annual average concentrations of TSP, $PM_{10}$, $PM_{2.5}$, $PM_1$, $PM_{0.5}$ and $PM_{0.1}$ were $20.9{\mu}g/m^3$, $19.3{\mu}g/m^3$, $14.9{\mu}g/m^3$, $10.7{\mu}g/m^3$, $5.3{\mu}g/m^3$, $1.2{\mu}g/m^3$, respectively. TSP concentrations were below $30{\mu}g/m^3$ during the sampling period. On average $PM_{10}$, $PM_{2.5}$, $PM_1$, $PM_{0.5}$ and $PM_{0.1}$ made up 0.91, 0.70, 0.41, 0.19 and 0.07 of TSP, respectively. The annual average of PM2.5/PM10 ratio was 0.77.