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*  Pi - Wikipedia
The fields of probability and statistics frequently use the normal distribution as a simple model for complex phenomena; for ... is ultimately connected with the spectral characterization of π as the eigenvalue associated with the Heisenberg uncertainty ... Rudin, Walter (1986). Real and complex analysis. McGraw-Hill. , p 2. Ahlfors, Lars (1966), Complex analysis, McGraw-Hill, p. 46 ... This probability is based on the observation that the probability that any number is divisible by a prime p is 1/p (for example ...
  https://en.wikipedia.org/wiki/Pi
*  ORBi: Browsing ORBi
... in the propagation and sensitivity analysis of uncertainties that are characterized by arbitrary probability distributions that ... A probabilistic characterization, propagation, and sensitivity analysis of uncertainties in a metal forming application. Arnst ... in International Journal for Uncertainty Quantification (2014), 4. In this paper, we offer a short overview of a number of ... methods for the propagation and sensitivity analysis of uncertainties characterized by arbitrary probability distributions that ...
  http://orbi.ulg.ac.be/browse?type=author&sort_by=1&order=DESC&rpp=20&etal=3&value=Ponthot%2C+Jean-Philippe+p002020&offset=60
*  Kshtij Khare (University of Florida) | Department of Statistics and Applied Probability - UC Santa Barbara
Lastly, the Bayesian approach inherently offers comprehensive uncertainty characterization through the posterior distribution. ... Abstract: The envelope model is a new paradigm to address estimation and prediction in multivariate analysis. Using sufficient ... Firstly, we use the matrix Bingham distribution to construct a prior on the orthogonal basis matrix of the envelope subspace. ... Secondly, sampling from the resulting posterior distribution can be achieved by using a block Gibbs sampler with standard ...
  http://www.pstat.ucsb.edu/news/event/1227
*  Pacific Northwest National Laboratory (U.S.) [WorldCat Identities]
... the uncertainty analysis. Several tools for improving uncertainty analyses of exposure estimates through the groundwater ... Generic probability distributions for unsaturated and saturated zone soil hydraulic parameters are presented. A method is ... Low-level radioactive waste classification, characterization, and assessment : waste streams and neutron-activated metals( Book ... Uncertainty analyses of infiltration and subsurface flow and transport for SDMP sites by P. D Meyer( Book ). 2 editions ...
  http://worldcat.org/identities/lccn-no96-29656/
*  Polycyclic Aromatic Hydrocarbons Concentrations in Drinking Water in Villages along the Huai River in China and Their...
2.3.3. Uncertainty Analysis. Monte Carlo simulation (. ) was used to quantify uncertainties and their impact on risk estimation ... The probability distribution of population parameters such as BW and SA was obtained from statistical data of Chinese adults, ... The final risk characterization summarizes and combines the outputs of the exposure and toxicity analyses to assess the ... Statistical Analyses. The normal distribution of PAHs concentrations achieved by BoxCox transformation depends on a number of ...
  https://www.hindawi.com/journals/bmri/2015/762832/
*  Probability box - Wikipedia
... cumulative probability distribution upper and lower probabilities credal set risk analysis uncertainty propagation probability ... A probability box (or p-box) is a characterization of an uncertain number consisting of both aleatoric and epistemic ... 2009). Uncertainty analysis based on probability bounds (p-box) approach in probabilistic safety assessment. Risk Analysis 29: ... 2010). Bounding uncertainty analyses. Pages 89-122 in Application of Uncertainty Analysis to Ecological Risks of Pesticides, ...
  https://en.wikipedia.org/wiki/Probability_box
*  Quantification of margins and uncertainties - Wikipedia
If the uncertainty limit for U includes a finite upper bound due to the particular distribution of that variable, a lower M/U ... QMU focuses on the identification, characterization, and analysis of performance thresholds and their associated margins for ... The underlying parameters that serve as inputs to the models are frequently modeled as samples from a probability distribution ... This total uncertainty includes all forms of uncertainty related to the computational model as well as the uncertainty in the ...
  https://en.wikipedia.org/wiki/Quantification_of_margins_and_uncertainties
*  Hydrological modelling - Wikipedia
These moments can then be used to determine an appropriate frequency distribution, which can then be used as a probability ... The degree of randomness or uncertainty in the model may also be estimated using stochastics, or residual analysis. These ... techniques may be used in the identification of flood dynamics, storm characterization, and groundwater flow in karst systems. ... Factor Analysis and Principal Component Analysis are multivariate statistical procedures used to identify relationships between ...
  https://en.wikipedia.org/wiki/Hydrological_modelling
*  Wigner quasiprobability distribution - Wikipedia
... the probability of finding a particle at a certain position in phase space is specified by a probability distribution, the ... Transformation between distributions in time-frequency analysis). As in the case of coordinate systems, on account of varying ... See below for a characterization of pure states whose Wigner functions are non-negative.) Smoothing the Wigner distribution ... They are shielded by the uncertainty principle, which does not allow precise location within phase-space regions smaller than ħ ...
  https://en.wikipedia.org/wiki/Wigner_quasiprobability_distribution
*  Intervals and Probability Distributions
Scott Ferson, Lev Ginzburg, Vladik Kreinovich, Hung T. Nguyen, and Scott A. Starks, 'Uncertainty in Risk Analysis: Towards a ... J. L thi, Histogram-Based Characterization of Workload Parameters and its Consequences on Model Analysis, chapter, 2005.. ... Manski, C., Partial Identification of Probability Distributions, Springer-Verlag. , New York. , 2003, ISBN 0-387-00454-8. ... Vladik Kreinovich and Scott Ferson, 'A New Cauchy-Based Black-Box Technique for Uncertainty in Risk Analysis', Reliability ...
  https://ualr.edu/jdberleant/intprob/
*  Frontiers | Attention in a Bayesian Framework | Frontiers in Human Neuroscience
... the probability of the spatial distribution of features given one object, plus the probability of the spatial distribution of ... In the Bayesian view such uncertainty is properly quantified by distributions that represent degrees of belief, and is ... A substantial body of behavioral evidence has accumulated in support of the Bayesian characterization of perception, showing ... The distinction between serial, attention-demanding search and parallel pre-attentive analysis has been repeatedly contested ( ...
  https://www.frontiersin.org/articles/10.3389/fnhum.2012.00100/full
*  Computational and Stochastic Mechanics at USC | ASCE
Uncertainty Modeling and Analysis in Complex Networks: Youssef Marzouk (MIT), Habib Najm (Sandia) and Omar Knio (Hopkins). • ... sampling distribution for chaos representations of data', SIAM J. Comp. Sci. , 30(5), 2207-2234. 3. Doostan, A., Ghanem, R., ... We adopt probability theory as logic for science, and rely on its mathematical structure to develop a methodology that permits ... 1. Saad, G. and Ghanem, R. (2009) 'Characterization of reservoir simulation models using a polynomial chaos-based ensemble ...
  http://www.asce.org/engineering-mechanics/emi-research-profiles/computational-and-stochastic-mechanics-at-usc/
*  Measurement uncertainty - Wikipedia
... in which mathematical analysis is used to derive an algebraic form for the probability distribution for Y {\displaystyle Y} , ... and the characterization of the output quantity Y {\displaystyle Y} by a Gaussian or a t {\displaystyle t} -distribution, ... probability distribution. Y {\displaystyle Y} has a symmetric trapezoidal probability distribution in this case. Once the input ... The measurement uncertainty is often taken as the standard deviation of a state-of-knowledge probability distribution over the ...
  https://en.wikipedia.org/wiki/Measurement_uncertainty
*  A Generalization of the Mean-Variance Analysis - PDF
A Generalization of the Mean-Variance Analysis Valeri Zakamouline and Steen Koekebakker This revision: May 30, 2008 Abstract In ... or a measure of aversion to uncertainty (or dispersion) of the probability distribution. In other words, when risk is small, a ... On characterization of a class of convex operators for pricing insurance risks On characterization of a class of convex ... the probability distribution is normal (see Tobin (1969)); the probability distribution belongs to the family of compact or ...
  http://docplayer.net/356303-A-generalization-of-the-mean-variance-analysis.html
*  Quantitative Characterization of Historical Drought Events in Korea - Focusing on Drought Frequency Analysis in the Five Major...
Focusing on Drought Frequency Analysis in the Five Major Basins - - drought frequency analysis;drought index;historical ... Quantitative Characterization of Historical Drought Events in Korea - ... "Drought frequency analysis using cluster analysis and bivariate probability distribution." Journal of the Korean Society of ... "Analysis of drought severity-area-frequency curves using a general circulation model and scenario uncertainty." Journal of ...
  http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=SJOHCI_2015_v48n12_1011
*  Reports IMATI Milano
Bayesian analysis of a probability distribution for the regional intensity attenuation. 2002. 02.08 A. Marini Una struttura ... Probability law for the occupation time of a pinned Brownian motion with arbitrary drift 4-MI A. Bodini Modelling Uncertainty 3 ... A characterization for mixtures of Semi Markov processes. 01.05 Y.A. Rozanov Some topics in analysis, related to market ... Robust Bayesian Analysis given a Bounded Set Probability. 90.15 E. Regazzini Concentration Comparisons between Probability ...
  http://www.imati.cnr.it/index.php/reports-imati-milano?nbsp
*  Environmental Health and Hazard Risk Assessment: Principles and Calculations: Louis Theodore and Ryan Dupont | NHBS Book Shop
Probability Distributions. Weibull Distribution. Fault Tree Analysis. Hazard/Event Consequences. Accident Minimization/ ... Vulnerability Analysis. Event Tree Analysis. Hazard Risk Characterization. Risk Characterization. Public Perception of Risk. ... Uncertainty Factors. Future Trends in Environmental Risk Assessment. Environmental Regulatory Framework. Regulatory System. ... Probability and Causes of Accidents. Consequences of Accidents. Hazard Risk Characterization. Hazard/Event Problem ...
  https://www.nhbs.com/environmental-health-and-hazard-risk-assessment-book
*  US Patent # 4,991,092. Image processor for enhancing contrast between subregions of a region of interest - Patents.com
... is also a probability distribution. More specifically, it is the probability that a randomly chosen element of V is mapped by M ... In this analysis, the mapping M:V.fwdarw.S is considered to be a S-valued random variable. The distribution .mu..sub.o (E) is ... This problem of characterization of a specific subregion is rendered even more difficult by the presence of noise in the signal ... is the Dirac delta function and the sum is over all voxels w in V. However, since each measured M(w) has an uncertainty ...
  http://patents.com/us-4991092.html
*  Publications | Gianluigi Rozza Group
A general analysis of different uncertainties and probability characterization with log-normal distribution of these ... P. Chen, A. Quarteroni, and G. Rozza, "Reduced Basis Methods for Uncertainty Quantification", SIAM/ASA Journal on Uncertainty ... A general analysis of different uncertainties and probability characterization with log-normal distribution of these ... random variables obeying various probability distributions. A priori convergence analysis is provided for the proposed method ...
  https://people.sissa.it/~grozza/publications/
*  Developing hourly intensity duration frequency curves for urban areas in India using multivariate empirical mode decomposition...
Analysis of daily river flow fluctuations using empirical mode decomposition and arbitrary order Hilbert spectral analysis. J ... Gupta VK, Waymire E (1990) Multiscaling properties of spatial rainfall and river flow distributions. J Geophys Res 95:1999-2009 ... Kumar P, Guttarp P, Foufoula-Georgiu E (2004) A probability-weighted moment test to assess simple scaling. Stoch Hydrol Hydraul ... Chandrarupa R, Sha U, Mujumdar PP (2015) Model and parameter uncertainty in IDF relationships under climate change. Adv Water ...
  https://rd.springer.com/article/10.1007/s00477-018-1545-x
*  Assessing the climate change impact on the North African offshore surface wind and coastal low-level jet using coupled and...
The probability distribution functions (PDFs) were analysed with the Yule-Kendall skewness measure (Ferro et al. 2005) and PDF ... 2017). The algorithm is based on the analysis of the vertical wind speed and temperature profiles (details are reported in the ... With the aim of better assessing the projected changes on the surface wind speeds and reduce model uncertainty, a ranking of ... A comprehensive characterization of the NACLLJ present and future properties and corresponding projected anomalies is performed ...
  https://link.springer.com/article/10.1007%2Fs00382-018-4565-9
*  Predicting the distribution of Stipa purpurea across the Tibetan Plateau via the MaxEnt model | BMC Ecology | Full Text
At a spatial scale, the future distribution of S. purpurea will not exhibit sweeping changes and will remain in the central and ... Global warming has been forecasted to continue in the future (2050s, 2070s), questioning the future distribution of S. purpurea ... significantly affected the distribution of S. purpurea. Only 0.70% of the Tibetan Plateau area included a very highly suitable ... has been used to understand species environment relationships and predict species distributions across locations that have not ...
  https://bmcecol.biomedcentral.com/articles/10.1186/s12898-018-0165-0
*  Index | Improving Risk Communication | The National Academies Press
INDEX Seat belts, 19, 58, 137 Self-reliance, 285 Sensitivity analysis, 171 Sex information, 17 Sexual assault, 290 Shrinkage, ... 165 uncertainty of information on, 61, 121 Action threshold, 173 Active public, 101, 102 Administrative Procedures Act of 1946 ... 154-55 Probability theory, 129-30, 247-48 Problems of risk communication, 108-42 deriving from institutional and political ... 62 Poisson distribution, 247 Policy issues, Cc Regulatory policy Poliomyelitis immunization, 246 Political constraints, sec ...
  https://www.nap.edu/read/1189/chapter/16
*  The American Statistician, American Statistical Association | IDEAS/RePEc
271-271 Multidimensional Nonlinear Descriptive Analysis. by Davis, Wade J. *271-272 Probability and Statistics for Computer ... 37-39 An Application of the Residue Calculus: The Distribution of the Sum of Nonhomogeneous Gamma Variates. by Hagwood, Charles ... 164-169 Bayesian Decision Making About Small Binomial Rates With Uncertainty About the Prior. by Longford, Nicholas T. *170-173 ... 216-218 A Three-Condition Characterization of the MoorePenrose Generalized Inverse. by Hu, Xiaomi *219-221 Conditional Moments ...
  https://ideas.repec.org/s/bes/amstat.html
*  Spread of Zika virus in the Americas | PNAS
... albopictus distribution database provides uncertainty estimates for the vector's distribution at a spatial resolution of 5. km ... From those realizations we find the probability p. (. x. ). and p. (. x. ,. θ. ). , defined as the probability of the evidence ... From those distributions we can calculate the posterior probabilities of interest. The sensitivity analysis for the others ... 30). Furthermore, although mathematical and computational models have tackled the characterization of the transmissibility and ...
  http://www.pnas.org/content/114/22/E4334?ijkey=d78e64afcb1b9aa2921f4b9082ab40ee85210388&keytype2=tf_ipsecsha