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Showing 1 to 11 of 11 for “"probability bounds"”.
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Methods for Rigorous Uncertainty Quantification with Application to a Mars Atmosphere Model
… missions motivate the use of the objective probability bounds approach, as opposed to the subjectivist theories which dominate uncertainty quantification in many research communities. An expanded formalism for Dempster-Shafer structures is introduced, allowing for the representation of …
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ΑΣΘΕΝΩΣ ΕΞΗΡΤΗΜΕΝΕΣ ΤΥΧΑΙΕΣ ΜΕΤΑΒΛΗΤΕΣ ΚΑΙ ΜΗ ΠΑΡΑΜΕΤΡΙΚΗ ΕΚΤΙΜΗΣΗ ΠΥΚΝΟΤΗΤΑΣ ΠΙΘΑΝΟΤΗΤΑΣ
… CERTAIN STATISTICAL APPLICATIONS. EXPONENTIAL PROBABILITY BOUNDS FOR SUMS OF TRIANGULAR ARRAY OF WEAKLY DEPENDENT RANDOM VARIABLES ARE GIVEN, AND A MOMENT INEQUALITY FOR A SUMS TRIANGULAR ARRAYS OF WEAKLY DEPENDENT RANDOM VARIABLES. AT LEAST WAS STUDIED THE STRONG UNIFORMLY CONSISTENCY OF …
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Quantifying uncertainty in pathogen removal, membrane integrity monitoring and health consequences in the treatment of drinking water
We used Monte Carlo and Probability Bounds Analysis, to examine uncertainty in removal of oocysts of Cryptosporidium and viruses in membranes used to treat drinking water. In chapter 2, we examined variability and uncertainty in the determination of parameters used in pressure-based direct …
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Error exponents for multipath fading channels : a strong coding theorem
We derive upper and lower bounds on the probability of error (the exponents of which are the error exponents) with "peaky" signaling -- the signaling strategy that achieves the capacity of the multipath fading channel under an average power constraint in the limit of infinite bandwidth. These …
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Quantitative invertibility of random matrices : a combinatorial perspective
… past two decades. Our focus is on obtaining high probability bounds, rather than on estimating the least singular value of a 'typical' realisation of the random matrix. In our main application, we consider random matrices of the form Mn := M + Nn, where M is a fixed complex matrix with operator …
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Moment Constraints in Radiation Therapy Planning Optimization Incorporating Patient-Specific Anatomical Geometry
… to healthy tissues. Interpreting the DVH as a probability distribution, a framework is proposed to assess the deviation from a reference dose-volume histogram when the so-called gEUD (generalized equivalent uniform dose) constraints are imposed to control the radiation dose. The underlying …
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Unbonded Monostrands for Camber Adjustment
… In this method, the parameters, in the form of a probability distribution function, are combined and passed through a deterministic model resulting in camber and camber growth prediction with narrowed probability bounds as compared to single definite value given by most contemporary methods. This …
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Performance-based earthquake engineering with the first-order reliability method
… shape. Solution methods are proposed to obtain probability bounds based on the FORM results. In the application-oriented second area of research, at first, the probability of collapse of a reinforced concrete frame is assessed with nonlinear static analysis. By modelling the post-failure …
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Optimization Techniques for Trustworthy 3D Object Understanding
… to propagate keypoint uncertainty to high-probability translation and rotation bounds. The high-probability bounds hold regardless of the accuracy of the pose estimate, and are reasonably tight when tested on the LineMOD-Occluded dataset. Lastly, we propose a sub-millisecond solution to …
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Two–Way Relaying Communications with OFDM and BICM/BICM-ID
… the MAI issue. By analyzing the detection error probability, various adaptive PNC schemes are discussed for using with OFDM and the scheme achieving the best trade-off among performance, overhead and complexity is suggested. In the second part of the thesis, the design of distributed precoding in …
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Imprecise probability analysis for integrated assessment of climate change
We present an application of imprecise probability theory to the quantification of uncertainty in the integrated assessment of climate change. Our work is motivated by the fact that uncertainty about climate change is pervasive, and therefore requires a thorough treatment in the integrated …