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Set-Valued and Variational Analysis, ISSN 1877-0533, 9/2018, Volume 26, Issue 3, pp. 631 - 642
Journal Article
BERNOULLI, ISSN 1350-7265, 08/2020, Volume 26, Issue 3, pp. 2143 - 2175
We show that various functionals related to the supremum of a real function defined on an arbitrary set or a measure space are Hadamard directionally... 
Hadamard directional derivative | TESTS | DISTANCE | THEOREM | maximum mean discrepancy | STATISTICS & PROBABILITY | INFERENCE | Delta method | Kolmogorov distance | Kuiper statistic | Berk-Jones statistic | WEAK-CONVERGENCE | STOCHASTIC-PROCESSES | Kolmogorov-Smirnov statistic | copulas | empirical processes
Journal Article
JOURNAL OF CONVEX ANALYSIS, ISSN 0944-6532, 2014, Volume 21, Issue 3, pp. 703 - 713
...: If the one-sided Hadamard directional derivative f(H+)'(x,u) exists in all directions u from a set S-x subset of X whose linear span is dense in X, then f is Hadamard differentiable at x... 
MATHEMATICS | directional derivatives | Hadamard directional derivatives | Hadamard differentiability | pointwise Lipschitz mapping | DERIVATIVES | Gateaux differentiability | sigma-directionally porous set
Journal Article
Asia-Pacific Journal of Operational Research, ISSN 0217-5959, 06/2018, Volume 35, Issue 3
.... Furthermore, by characterizing the optimal value function as a min-max optimization problem over two compact convex sets, we demonstrate the Lipschitz continuity and the Hadamard directional... 
Hadamard directional differentiability | upper semi-continuity | Quadratic programming | stability analysis | OPERATIONS RESEARCH & MANAGEMENT SCIENCE
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2019, Volume 27, Issue 2, pp. 469 - 502
... of problems, and Hadamard directional differentiability results are obtained under comparatively mild structural assumptions... 
35J20 | 65K15 | Sensitivity analysis | Lipschitz stability | Elliptic variational inequalities of the second kind | Mathematics | Optimization | Hadamard directional differentiability | 47J20 | 49K40 | Analysis | 49J40 | 35R45 | 35B30 | Optimal control of variational inequalities
Journal Article
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, ISSN 0363-0129, 2019, Volume 57, Issue 1, pp. 192 - 218
This paper is concerned with the differential sensitivity analysis and the optimal control of evolution variational inequalities (EVIs) of obstacle type. We... 
Hadamard directional differentiability | MATHEMATICS, APPLIED | strong stationarity | sensitivity analysis | Signorini problem | DIFFERENTIABILITY | REGULARITY | parabolic obstacle problem | optimal control | NONSMOOTH | evolution variational inequality | AUTOMATION & CONTROL SYSTEMS
Journal Article
Journal of Econometrics, ISSN 0304-4076, 11/2018, Volume 207, Issue 1, pp. 53 - 70
.... To show the validity of our approach we draw on recent results on the directional differentiability of the least concave majorant operator, and on bootstrap inference when smoothness conditions... 
Hadamard directional differentiability | Copula | Stochastic monotonicity | Least concave majorant | Hadamard differentiability | CONCAVE MAJORANT | UNITED-STATES | REGRESSION | INTERGENERATIONAL EARNINGS MOBILITY | INEQUALITY | SMIRNOV TYPE TEST | DISTRIBUTIONS | EMPIRICAL COPULA PROCESSES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INCOME | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | ASSORTATIVE MARRIAGE
Journal Article
Journal of Evolution Equations, ISSN 1424-3199, 6/2018, Volume 18, Issue 2, pp. 777 - 803
.... This demands careful estimates when working with semigroup methods. In the second part, we show Lipschitz continuity and Hadamard differentiability of the solution operator... 
Hysteresis operator | Semilinear parabolic evolution problem | 35K51 | 47J40 | Hadamard differentiability | Analysis | Solution operator | Global existence | Mathematics | Reaction–diffusion | Stop operator | MATHEMATICS | MATHEMATICS, APPLIED | Reaction-diffusion
Journal Article
Journal of convex analysis, ISSN 0944-6532, 2015, Volume 22, Issue 1, pp. 161 - 176
Journal Article
Econometrics and statistics, ISSN 2452-3062, 2019, Volume 10, pp. 9 - 26
... representation of the Hadamard directional derivative of the least concave majorant operator. Numerical simulations indicate that improvements to power can be very large in moderately sized samples. 
Contact set | Hadamard directional differentiability | Ordinal dominance curve | Density ratio ordering | Least concave majorant
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2004, Volume 14, Issue 4, pp. 1057 - 1073
... to identify exactly when a quadratic function on X has an error bound. Key words. error bound, Hadamard directional derivative, second-order directional derivative... 
Complete metric space | Hadamard directional derivative | Error bound | Lower semicontinuous function | Second-order directional derivative | complete metric space | MATHEMATICS, APPLIED | TANGENT SETS | error bound | second-order directional derivative | NONSMOOTH OPTIMIZATION | DIFFERENTIABILITY | lower semicontinuous function
Journal Article
Journal of the Royal Statistical Society. Series B, Statistical methodology, ISSN 1369-7412, 2018, Volume 80, Issue 1, pp. 219 - 238
Journal Article
SIAM journal on optimization, ISSN 1095-7189, 2011, Volume 21, Issue 4, pp. 1523 - 1560
Journal Article
Journal of Global Optimization, ISSN 0925-5001, 6/2011, Volume 50, Issue 2, pp. 271 - 291
Journal Article
Electronic Journal of Statistics, ISSN 1935-7524, 2017, Volume 11, Issue 2, pp. 3841 - 3870
Journal Article
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