“…It delves into the importance of understanding and mitigating risks to minimize their impact on organizations and individuals. …”

Accés lliure
Accés lliure

Tabla de Contenidos: “…3.2.5 Finite-sample breakdown point 61 -- 3.3 Maximum asymptotic bias 62 -- 3.4 Balancing robustness and efficiency 64 -- 3.5 *“Optimal” robustness 66 -- 3.5.1 Bias- and variance-optimality of location estimators 66 -- 3.5.2 Bias optimality of scale and dispersion estimators 66 -- 3.5.3 The infinitesimal approach 67 -- 3.5.4 The Hampel approach 68 -- 3.5.5 Balancing bias and variance: the general problem 70 -- 3.6 Multidimensional parameters 70 -- 3.7 *Estimators as functionals 72 -- 3.8 Appendix: Proofs of results 76 -- 3.8.1 IF of general M-estimators 76 -- 3.8.2 Maximum BP of location estimators 76 -- 3.8.3 BP of location M-estimators 77 -- 3.8.4 Maximum bias of location M-estimators 79 -- 3.8.5 The minimax bias property of the median 80 -- 3.8.6 Minimizing the GES 80 -- 3.8.7 Hampel optimality 82 -- 3.9 Problems 85 -- 4 Linear Regression 1 87 -- 4.1 Introduction 87 -- 4.2 Review of the least squares method 91 -- 4.3 Classical methods for outlier detection 94 -- 4.4 Regression M-estimators 97 -- 4.4.1 M-estimators with known scale 99 -- 4.4.2 M-estimators with preliminary scale 100 -- 4.4.3 Simultaneous estimation of regression and scale 102 -- 4.5 Numerical computing of monotone M-estimators 103 -- 4.5.1 The L1 estimator 103 -- 4.5.2 M-estimators with smooth 𝜓-function 104 -- 4.6 BP of monotone regression estimators 104 -- 4.7 Robust tests for linear hypothesis 106 -- 4.7.1 Review of the classical theory 106 -- 4.7.2 Robust tests using M-estimators 108 -- 4.8 *Regression quantiles 109 -- 4.9 Appendix: Proofs and complements 110 -- 4.9.1 Why equivariance? …”

“…Examples of such actions are to improve the number of satisfied clients, identify clients at risk of leaving and incentivize them to stay loyal, identify patterns of risk or fraudulent behavior and take action to minimize it as early as possible, and detect patterns of behavior in operational systems and transportation that lead to failures, delays, and maintenance and take early action to minimize risks and costs. …”

“…Nevertheless, challenges remain and new ones appear, as ways are sought to minimize casting defects and to cast alloys that could originally only be cast via other means. …”

“…However, it is becoming increasingly clear that climate change can be minimized, but not avoided, and therefore the socio-economic systems around the world will have to adapt to the new conditions to reduce the adverse impacts to the minimum. …”

“…Improvements have been made in manufacturing processes, precision engineering capabilities, device designs and materials properties in order to minimize wear and friction and maximize component longevity in vivo…”

“…It is thus addressed, besides PhD students, to junior and senior researchers in different areas such as: partial differential equations; geometric control theory; geometric measure theory and minimal surfaces in stratified Lie groups…”

“…On the weekends she will “let loose” and drink more to help forget current problems in her personal life. Ali consistently minimizes the impact of her drinking and repeatedly returns to her performance at work which she insists is unaffected by her level of alcohol consumption. …”

“…Such a system could also be useful in the setting of abatement objectives and minimizing their associated cost. Greater use of properly designed instruments, examples being a unified taxation of fuels and the introduction of a CO2 tax, would improve the cost-effectiveness of policies to reach Austria’s ambitious CO2 emission reduction target. …”

“…New approaches are emerging today to minimize these problems and make urban areas more livable. …”

“…Through iconic images and stories of child migrants, child refugees, undocumented children, child soldiers, and children who are victims of war, terrorism, and state violence, Violent Exceptions illustrates how humanitarian rhetoric turns public attention away from systemic violations against children's human rights and reframes this violence as exceptional-erasing more gradual forms of violence and minimizing human rights potential to counteract these violations and the precarious conditions from which they arise…”