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Showing 1 to 12 of 12 for “"Gumbel distribution"”.
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Entropy functions and rare events in disordered systems by transfer matrix calculations and Monte Carlo sampling
… the significance of observed similarities. Distributions of optimal alignment scores over random sequences are integral parts of such tests. I extended an existing work where large deviations from the asymptotically predicted Gumbel distribution were found to further biologically relevant …
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Extreme values of non-Gaussian fields
… law of the centred maximum is a randomly shifted Gumbel distribution. While for Gaussian fields the picture is rather complete, many difficulties arise when the field of interest in non-Gaussian. In this thesis, we study the extreme values of the non-Gaussian sine-Gordon field and …
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A method for the probabilistic method assessment of structures containing defects
… and a preliminary analysis showed that the distribution of carbide in steel could be described by an exponential distribution. Initially the failure of an individual fracture toughness test specimen is considered. The volume of material at the tip of a flaw, within which fracture initiation …
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Optimum multiple- and single-stress accelerated life tests
… a transformation of it, follows a location scale Gumbel distribution. The location parameter of this distribution is assumed to be of the form;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI);where the (beta)(,j)'s are unknown and the f(,j)'s are functions of the stresses x. The scale …
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Detection of phantom inventories at retail stores using a Bayesian approach
… demand is designed using a negative binomial distribution, which is used further to determine the posterior probability of phantom inventories given a specific set of consecutive days without sales of a SKU at a store. The prevalence of phantom inventories is then calculated using all the …
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Improved predictions of contaminant transport in rivers
… model represents the tracer response with the Gumbel distribution, which has a skewness coefficient close to the value observed in tracer studies. The proposed model predicts arrival times of the leading and trailing edge better than a similar method developed by the USGS, and it underestimates …
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Analysis of surface pressure and velocity fluctuations in the flow over surface-mounted prisms
… prism. The results show that the Gamma distribution provides generally the best statistical description for the pressure time series, and that the method of moments is sufficient for determining its parameters. Additionally, the shape parameter of the Gamma distribution can be directly …
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Analysis of Discrete Choice Probit Models with Structured Correlation Matrices
… consumer choices, are independent and follow a Gumbel distribution, widely known as the Independence of irrelevant Alternatives (IIA) assumption. Alternate models that relax IIA assumption are the Generalized Extreme Value (GEV) models, which allow dependency between unobserved factors. However, …
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Thick points of random walk and multiplicative chaos
… the local times converges to a randomly shifted Gumbel distribution. Next, we construct the analogue of Gaussian multiplicative chaos measures for the local times of planar Brownian motion by exponentiating the square root of the local times of small circles. We also consider a flat measure …
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The Waimakariri River and its environment: frequency analysis of extreme events and the effects of flow modifications
… in combination with a few selected probability distributions based on theoretical considerations. Low flow frequency analysis, albeit an informative tool for water planning, is seldom utilised and no estimates are published for the Waimakariri River. However, low flow frequency estimates can …
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Analysis, Simulation and Control of Peak Pressure Loads on Low-Rise Structures
… coefficients follow a three-parameter Gamma distribution, while the peak pressure follows a two-parameter Gumbel distribution. The results of the analysis are contrasted with the design values. In the second part, we perform numerical simulations of the flow over a surface-mounted prism as a …
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Analysis off Dependent Discrete Choices Using Gaussian Copula
… functions of the consumers follow independent Gumbel distributions. However, in practice the independence assumption may be violated and a more reasonable model should account for the dependence of the utilities. In this dissertation we use the Gaussian copula with compound symmetric and …