• 제목/요약/키워드: unimodal distribution

검색결과 87건 처리시간 0.026초

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 WEIBULL MARSHALL-OLKIN LOMAX DISTRIBUTION WITH APPLICATIONS TO BLADDER AND HEAD CANCER DATA

  • KUMAR, DEVENDRA;KUMAR, MANEESH;ABD EL-BAR, AHMED M.T.;LIMA, MARIA DO CARMO S.
    • Journal of applied mathematics & informatics
    • /
    • 제39권5_6호
    • /
    • pp.785-804
    • /
    • 2021
  • The proposal of new families has been worked out by many authors over recent years. Many ways to generate new families have been developed as the methods of addition, linear combination, composition and, one of the newer, the T-X family of distributions. Using this latter method, Korkmaz et al. (2018) proposed a new class called Weibull Marshall-Olkin-G (WMO-G) family. In the present work, we propose a new distribution, based on the WMO-G family, using the Lomax distribution as baseline, called Weibull Marshall-Olkin Lomax (WMOL) distribution. The hazard rate function of this distribution can be increasing, decreasing, bathtub-shaped, decreasing-increasing-decreasing and unimodal. Some properties of the proposed model are developed. Besides that, we consider method of maximum likelihood for estimating the unknown parameters of the WMOL distribution. We provide a simulation study in order to verify the asymptotic properties of the maximum likelihood estimates. The applicability of the new distribution to modeling real life data is proved by two real data sets.

황사 에피소드 발생시 대기먼지의 농도 특성과 인체 영향 (Concentration Characteristics and Health Effect Assessment of Atmospheric Particulate Matters During Asian Dust Storm Episodes)

  • 강공언
    • 한국환경보건학회지
    • /
    • 제35권1호
    • /
    • pp.21-35
    • /
    • 2009
  • The Asian dust storms which originated in the deserts of Mongolia and China transported particles to Korea and led to a high concentration of atmospheric particulate matters (PM) of more than $1000{\mu}g/m^3$ throughout the country in the spring, of 2007. Public concern, in Korea, about the possible adverse effects of these dust events has increased, as these dust storms can contain various air pollutants emitted from heavily industrialized eastern China. The objectives of this study were to understand the concentration characteristics of PM as a function of particle size between the Asian dust storm episodes and non-Asian dust period and to consider the mass size distribution of PM in the Asian dust storms and their water soluble ion species on the potential, possible effects on deposition levels in the three regions (nasopharyngeal, tracheobronchial, and alveolar) of the human respiratory system. The size distribution of PM mass concentration during the Asian dust storms showed a peak in the coarse particle region due to the long-range transport of soil particles from the deserts of Mongolia and China, which was identified by HYSPLIT-4 model for backward trajectory analysis of air arriving in the sampling site of Iksan. During the non-Asian dust period, there were two different types in PM size distribution: bimodal distribution when low concentrations of $PM_{2.5}$ were observed, while unimodal distribution having a peak in fine particle region when high concentrations of $PM_{2.5}$ were showed. This unimodal distribution with high concentrations of fine particulate and secondary air pollutants such as ${SO_4}^{2-}$, ${NO_3}^-$, ${NH_4}^+$ was found to be due to the long-range transport of air pollutants from industrialized eastern China. During the Asian dust storms, the mean concentrations of PM that can be deposited in the nasopharyngeal, tracheobronchial, and alveolar region were $128.8{\mu}g/m^3$, $216.5{\mu}g/m^3$, and $89.6{\mu}g/m^3$, respectively. During the non-Asian dust period, the mean concentrations of PM that can be deposited in the nasopharyngeal, tracheobronchial, and alveolar region were $8.4{\mu}g/m^3$, $9.5{\mu}g/m^3$ and $38.5{\mu}g/m^3$, respectively.

황사의 크기 및 침착량에 대한 수치 모의 (A Numerical Study on the Size and Depositions of Yellow Sand Events)

  • 정관영;박순웅
    • 한국대기환경학회지
    • /
    • 제14권3호
    • /
    • pp.191-208
    • /
    • 1998
  • Estimations of dry and wet depositions in Korea and the size distributions of yellow sand above Korea have been carried out using the Eulerian aerosol model with the simulated meteorological data from the SNU mesoscale meteorological model. The estimated particle size distribution in Korea shows a bimodal distribution with peak values at 0.6 pm and 7 pm and a minimum at 2 pm in the lower layer However, as higher up, the bimodal distribution becomes an unimodal distribution with a peak value at 4∼5mm. Among the total amount of yellow sand deflated in the source regions , the dry and wet deposition fluxes were about 92%, and about 1.3∼0.5%, repectively, and the rest(5∼6%) is suspended in the air, Most of dust lifted in the air during the clear weather is deposited in the vicinity of the source regions by dry deposition and the rest undergoes the long -range transport with a gradual removal by the wet deposition processes. Over Korean peninsula, the total amount of yellow sand suspended in the air was about 6∼8% of the emissions in the source region and the dry and wet deposition fluxes were about 0.005∼0.7% and 0.003∼0.051% of the total emitted amount, repectively. It is estimated that 2.7∼8.9 mesa-tons of yellow sand is transported annually over the Korean peninsula with the annual mean dry deposition of 2.1∼490 kilo-tons and the annual mean wet deposition of 1.5∼65 kilo-tons.

  • PDF

Analysis on the evolution of water resources situation in Qiandao Lake Basin from 1960 to 2020

  • DU Junkai;Qiu Yaqin
    • 한국수자원학회:학술대회논문집
    • /
    • 한국수자원학회 2023년도 학술발표회
    • /
    • pp.27-27
    • /
    • 2023
  • To analyze the evolution of water resources in Qiandao Lake Basin under the condition of climate change, a WEP-L distributed hydrological model was established to simulate the water cycle process in the basin during 1960-2020. The Mann-Kendall non-parametric test method and Hurst index method were used to analyze the inter-annual variation and annual distribution characteristics of the total water resources in the basin. The multi-scale temporal and spatial distribution and evolution trend of water resources in Qiandao Lake Basin were evaluated. The results show that: (1) The WEP-L model has good simulation results in the Qiandao Lake basin, and the Nash coefficient rate is above 0.83 in the periodic period and above 0.85 in the verification period. (2) The water yield coefficient of the whole basin ranges from 0.436 to 0.630. The annual average total water resource is 12.25 billion m3, equivalent to 1176.4mm of water depth. The annual distribution process shows a unimodal structure, and the water depth of each sub-basin ranges from 742 mm to 1266 mm, and the spatial distribution is higher in the west and lower in the east. (3) The annual water resources series in the basin showed an insignificant upward trend, and the Hurst index was 0.86, indicating a continuous upward trend. From the perspective of monthly water resources, January and February increased significantly, the other months were not significant changes.

  • PDF

Interfacial Electrical/Dielectric Characterization in Low Temperature Polycrystalline Si

  • Hwang, Jin-Ha
    • 마이크로전자및패키징학회지
    • /
    • 제12권1호
    • /
    • pp.77-85
    • /
    • 2005
  • Impedance spectroscopy was applied to low temperature polycrystalline Si in order to investigate the electrical/dielectric information in polycrystalline Si. By combined microstructure and impedance spectroscopy works, it was shown that the electrical information is sensitive to the corresponding microstructure, i.e., the grain size and distribution, judged from the capacitance vs. grain size relationship. At $360 mJ/cm^2$, the maximum in capacitance and the minimum in resistance correspond to the largest grain sizes of unimodal distribution in polycrystalline Si. The electrical/dielectric characterization is compared with Raman spectroscopic characterizations in terms of microstructure.

  • PDF

A simplified directly determination of soil-water retention curve variables

  • Niu, Geng;Shao, Longtan;Guo, Xiaoxia
    • Geomechanics and Engineering
    • /
    • 제23권5호
    • /
    • pp.431-439
    • /
    • 2020
  • Soil-water retention curve (SWRC) contains key information for the application of unsaturated soil mechanics principles to engineering practice. The SWRC variables are commonly used to describe the hydro-mechanics of soils. Generally, these parameters are determined using the graphical method which can be time consuming. The SWRC is highly dependent on the pore size distribution (PSD). Theoretically, the PSD obtained by mercury intrusion porosimetry test can be used to determine some SWRC variables. Moreover, the relationship between SWRC and shrinkage curve has been investigated. A new method to determine total SWRC variables directly without curve-fitting procedure is proposed. Substituting the variables into linear SWRC equations construct SWRC. A good agreement was obtained between predicted and measured SWRCs, indicating the validity of the proposed method for unimodal SWRC.

적응 HFC 기반 유전자알고리즘의 새로운 접근: 교배 유전자 연산자의 비교연구 (A New Approach to Adaptive HFC-based GAs: Comparative Study on Crossover Genetic Operator)

  • 김길성;최정내;오성권
    • 전기학회논문지
    • /
    • 제57권9호
    • /
    • pp.1636-1641
    • /
    • 2008
  • In this study, we introduce a new approach to Parallel Genetic Algorithms (PGA) which combines AHFCGA with crossover operator. As to crossover operators, we use three types of the crossover operators such as modified simple crossover(MSX), arithmetic crossover(AX), and Unimodal Normal Distribution Crossover(UNDX) for real coding. The AHFC model is given as an extended and adaptive version of HFC for parameter optimization. The migration topology of AHFC is composed of sub-populations(demes), the admission threshold levels, and admission buffer for the deme of each threshold level through succesive evolution process. In particular, UNDX is mean-centric crossover operator using multiple parents, and generates offsprings obeying a normal distribution around the center of parents. By using test functions having multimodality and/or epistasis, which are commonly used in the study of function parameter optimization, Experimental results show that AHFCGA can produce more preferable output performance result when compared to HFCGA and RCGA.

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.