• Title/Summary/Keyword: lognormal

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Effect of Microdiversity and Macrodiversity on Average Bit Error Probability in Shadowed Fading Channels in the Presence of Interference

  • Panajotovic, Aleksandra S.;Stefanovic, Mihajlo C.;Draca, Dragan Lj.
    • ETRI Journal
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    • v.31 no.5
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    • pp.500-505
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    • 2009
  • The detrimental effect of short-term fading and shadowing can be mitigated using microdiversity and macrodiversity systems, respectively. In this paper, implementation of selection combining at both micro and macro levels to improve system performance is analyzed. An assessment of the performance of such a system is carried out by considering the desired signal as Rician fading with lognormal shadowing and cochannel interference signal as Rayleigh fading superimposed over lognormal shadowing. The proposed analysis is complemented by various performance evaluation results, including the effects on overall system performance of fading severity, shadowing spreads and branch correlation existing at the base station, and correlation between base stations.

Optimal Design for Reliability with Lognormally Distributed Stress and Strength (대수(對數) 정규분포(正規分布)를 하는 부하(負荷)와 강도(强度) 신뢰성(信賴性)모델에서의 최적화(最適化) 설계(設計)에 관(關)한 연구(硏究)(I))

  • Kim, Bok-Man;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.18 no.2
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    • pp.43-53
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    • 1990
  • Mechanical components and structures are a major part of complex systems and the conseguences of their failure can be extremely costly. The ultimate goal of design engineers is to optimize these mechanical and structural design from the point of view of cost, reliability, weight, volume, maintainability and safety. An essential requirement of design optimization is to develop mathematical models for reliability at design stage. This paper is to minimize the cost of resources subject to the constraint that the reliability of the system must meet a specified level. The lagrange multiplier method is used to optimize the lognormal stress-lognormal strength problem. This optimization problem can be reduced to a search problem in one variable. A numerical example is presented to illustrate the optimization problem.

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Intrinsic Priors for Testing Two Lognormal Means with the Fractional Bayes Factor

  • Moon, Gyoung-Ae
    • 한국데이터정보과학회:학술대회논문집
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    • 2003.10a
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    • pp.39-47
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    • 2003
  • The Bayes factors with improper noninformative priors are defined only up to arbitrary constants. So, it is known that Bayes factors are not well defined due to this arbitrariness in Bayesian hypothesis testing and model selections. The intrinsic Bayes factor by Berger and Pericchi (1996) and the fractional Bayes factor by O'Hagan (1995) have been used to overcome this problems. This paper suggests intrinsic priors for testing the equality of two lognormal means, whose Bayes factors are asymptotically equivalent to the corresponding fractional Bayes factors. Using proposed intrinsic priors, we demonstrate our results with a simulated dataset.

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Optimal Design of Accelerated Life Tests under Model Uncertainty (불확정 모형하에서 가속수명시험의 최적 설계)

  • 서순근;하천수;김갑석
    • Journal of Korean Society for Quality Management
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    • v.29 no.3
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    • pp.49-65
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    • 2001
  • This paper presents new compromise ALT plan which is applied to situations that true relationship between stress and parameters is not known exactly. The assumed failure distribution of this study is one of location-scale family, i. e., exponential, Weibull, and lognormal distributions which have been ones of the popular choices of failure distributions. The method of applying the stress is constant, and the censoring mechanism is Type I censoring. Compared with existing compromise plans under true simple linear model in terms of statistical efficiency, the efficiency of new compromise plan is better than the corresponding other compromise ones in most cases. For case when true model is quadratic, this plan can be used without any severe loss in statistical efficiency. The proposed new compromise ALT plan is illustrated with a numerical example and sensitivity analyses are conducted to study effects of pre-estimates of design parameters.

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The regional frequency analysis of the annual max. daily rainfall in Korea. (우리나라 지역최대 일우량의 빈도분석에 관한 연구)

  • 고재웅
    • Water for future
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    • v.13 no.1
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    • pp.39-48
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    • 1980
  • The purpose of this study was to set up the accurate way of estimating the frequency of the max. daily rainfall of the Korean rivers. The area selected for study were Han.Naktong, Geum, Yeongsan, and Seomjin River. The following five methods of the rainfallfrequency analysis were applied to twenty four subgrouped regions in the basins; 2 parameter lognormal, 3 parameter lognormal, Type I extremal(Gumbel method), Pearson Type III, and log-Pearson Type III. The regression equations were established between the depth of max. daily rainfall given 6 reccirrence interval(100, 50, 20, 10, 5, 2) and the basin area.

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Derivation of Probable Rainfall Intensity Formula at Masan District (마산지방 확률강우강도식의 유도)

  • Kim, Ji-Hong;Bae, Deg-Hyo
    • Journal of Wetlands Research
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    • v.2 no.1
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    • pp.49-58
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    • 2000
  • The frequency analysis of annual maximum rainfall data and the derivation of probable rainfall intensity formula at Masan station are performed in this study. Based on the eight different rainfall duration data from 10 minutes to 24 hours, eight types of probability distribution (Gamma, Lognormal, Log-Pearson type III, GEV, Gumbel, Log-Gumbel, Weibull, and Wakeby distributions), three types of parameter estimation scheme (moment, maximum likelihood and probability weighted methods) and three types of goodness-of-fit test (${\chi}^2$, Kolmogorov-Smirnov and Cramer von Mises tests) were considered to find an appropriate probability distribution at Masan station. The Lognormal-2 distribution was selected and the probable rainfall intensity formula was derived by regression analysis. The derived formula can be used for estimating rainfall quantiles of the Masan vicinity areas with convenience and reliability in practice.

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The Vegetation of Seogno Island (序毛島의 植生)

  • Kil, Bong-Seop;Jeong-Un Kim
    • The Korean Journal of Ecology
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    • v.7 no.4
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    • pp.208-232
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    • 1984
  • A survey was conducted on the vegetation of Seogmo island, which is small island (ca. 41 okm2) located about 1km west of Kanghwa island in the central Korea, from Aug. 1983 to May 1984. Based on the field data, actual vegetation map and potential natural vegetation map were made. The island is covered with broad-leaved trees dominated with Quercus variabilis. The dominance diversity curves obtaiend in different associations are grouped in two types, lognormal distribution forms at the undisturbed vegetation and geometric series at the disturbed or rocky sites. It seems that the curves show to us the nature of their ecocline by the hypothesis of some investigators, i.e. Random niche boundary hypothesis, niche preemption hypothesis, lognormal distribution and logarithmic series. Total numbers of vascular plant species of the island were recorded 108 families, 348 genera, 475 species, 73 variaties and 7 forma. And Pte.-Q Index, 0.93, and Fisher's Index, 589.8, were higher than those in neighboring islands.

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Flood Frequency Analysis by the Box-Cox Transformation

  • 이순혁;조성갑;박명곤
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.32 no.E
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    • pp.20-32
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    • 1990
  • Abstract This study was conducted to pursue the normalization of frequency distribution by making an approach to the coefficient of skewness to nearly zero through the Box-Cox transformation, to get probable flood flows can be calculated by means of the transformation equation which has been derivated by Box-Cox transformation in the annual maximum series of the applied watersheds. It has been concluded that Box-Cox transfromation is proved to be more efficient than logarithmic, square root and SMEMAX transformation which is based on the trigonometric solution of a right triangle whose three verteces repesent the smallest, median and largest observed values of a population in making the coefficient of skewness nearer to zero. Consequently it is shown that probable flood flows according to the return period based on Box-Cox transformation are closer to the observed data as compared to other methods including SMEMAX transformation and fitted probability distributions such as the three parameter lognormal and the type I extremal distribution for the applied watersheds.

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Planning of Accelerated Degradation Tests: In the Case Where the Performance Degradation Characteristic Follows the Lognormal Distribution (성능특성치의 열화가 대수정규분포를 따를 때의 가속열화시험 모형 개발)

  • Lim, Heonsang;Sung, Si-Il
    • Journal of Applied Reliability
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    • v.18 no.1
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    • pp.80-86
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    • 2018
  • Purpose: This article provides a mathematical model for the accelerated degradation test when the performance degradation characteristic follows the lognormal distribution. Method: For developing test plans, the total number of test units and the test time are determined based on the minimization of the asymptotic variance of the q-th quantile of the lifetime distribution at the use condition. Results: The mathematical model for the accelerated degradation test is provided. Conclusion: Accelerated degradation test method is widely used to evaluate the product lifetime within a resonable amount of cost and time. In this article. a mathematical model for the accelerated degradation test method is newly developed for this purposes.

Gap-Acceptance Behavior Model of Left-Turn Drivers. (좌회전운전자의 문격수낙행태 모형)

  • 김경환
    • Journal of Korean Society of Transportation
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    • v.4 no.2
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    • pp.3-14
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    • 1986
  • This study was undertaken to develop the gap acceptance model of left-turn drivers on the major road at intersections. Typical unsignalized intersections on the two-lane and four-lane streets in Masan City were selected for the study intersection. For the gap distribution model, the lognormal, negative exponential, shifted negative exponential, and Gamma distributions were tested using the x2 and K-S tests. Based on the results for both streets, it was concluded that among the distributions tested the lognormal distribution represented the gap distribution best, followed by the shifted negative exponential distribution. Stochastic models of the gap-acceptance behavior of left-turn drivers on the major road at unsignalized intersections were programmed using SLAM Ⅱ, a simulation computer language. A stochastic model was selected for the gap-acceptance behavior to compare the results of the simulation with the observed data. The model assumes that a fixed critical acceptance gap is assigned to each left-turn driver based on a normal distribution and the gap distribution of the opposing traffic stream follows the shifted negative exponential distribution.

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