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RAMAS Risk Calc 4.0 Software
Many analysts use point estimates and ignore their uncertainty. But we can never be sure about the exact values of numbers based on data. And no practical calculations are without error, even though they may have the appearance of precision. RAMASâ Risk Calc 4.0 Software: Risk Assessment with Uncertain Numbers uses traditional methods such as probability theory and interval analysis and the newest techniques such as probability bounds analysis and fuzzy arithmetic to quantify uncertainty in risk assessments. It creates a convenient environment for computing in which all uncertainties are carried forward automatically. Providing examples in four major application areas, Risk Calc brings sophisticated methods of uncertainty analysis into the reach of anyone who can do arithmetic on a calculator.
Risk Assessment in Conservation Biology
This book is a cohesive guide to the available methods that can be used in population viability analysis. It is therefore extremely valuable to both the practitioner of conservation biology and the theoretical population biologist.
Financial Markets Theory
A presentation of classical asset pricing theory, this textbook is the only one to address the economic foundations of financial markets theory from a mathematically rigorous standpoint and to offer a self-contained critical discussion based on empirical results. Tools for understanding the economic analysis are provided, and mathematical models are presented in discrete time/finite state space for simplicity. Examples and exercises included.
Applying Landscape Ecology in Biological Conservation
This book provides a current synthesis of principles and applications in landscape ecology and conservation biology. Bringing together insights from leaders in landscape ecology and conservation biology, it explains how principles of landscape ecology can help us understand, manage and maintain biodiversity. Gutzwiller also identifies gaps in current knowledge and provides research approaches to fill those voids.
Uncertainty propagation and importance measure assessment
The authors investigate the effects that different representations of epistemic uncertainty have on practical risk assessment problems. Two different application problems are considered: 1. the estimation of component importance measures in the presence of epistemic uncertainties; 2. the propagation of uncertainties through a risk flooding model. The focus is on the epistemic uncertainty affecting the parameters of the models that describe the components’ failures due to incomplete knowledge of their values. This epistemic uncertainty is represented using probability distributions when sufficient data is available for statistical analysis, and by possibility distributions when the informat...
Focus on Numerical Analysis
Focus on Numerical Analysis
Computing Statistics under Interval and Fuzzy Uncertainty
In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy. This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics.
Minnesota Reports
Cases argued and determined in the Supreme Court of Minnesota.
