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Biometrika, ISSN 0006-3444, 01/2015, Volume 103, Issue 1, pp. 147 - 159
In modern experiments, functional and nonfunctional data are often encountered simultaneously when observations are sampled from random processes and... 
Smoothly clipped absolute deviation | Functional data | Functional linear regression | Model selection | Regularization | Principal components | MORTALITY | CITIES | STATISTICS & PROBABILITY | LONGITUDINAL DATA | ORACLE PROPERTIES | NONCONCAVE PENALIZED LIKELIHOOD | AIR-POLLUTION | MODELS | LASSO | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | SELECTION
Journal Article
Annals of Mathematics, ISSN 0003-486X, 5/2017, Volume 185, Issue 3, pp. 991 - 1015
In this paper we prove that no packing of unit balls in Euclidean space ℝ⁸ has density greater than that of the E₈-lattice packing. 
Integers | Unit ball | Absolute convergence | Logical proofs | Mathematical lattices | Fourier transformations | Linear programming | Euclidean space | Fourier coefficients
Journal Article
Statistical Science, ISSN 0883-4237, 2017, Volume 32, Issue 3, pp. 405 - 431
The basic idea of importance sampling is to use independent samples from a proposal measure in order to approximate expectations with respect to a target... 
Notions of dimension | Absolute continuity | Filtering | Inverse problems | Small noise | Importance sampling | MONTE-CARLO METHODS | RATIO | STATISTICS & PROBABILITY | small noise | RATES | BOUNDS | notions of dimension | inverse problems | KALMAN | BAYESIAN INVERSE PROBLEMS | CONVERGENCE | SQUARES | filtering | absolute continuity
Journal Article
Advances in Mathematics, ISSN 0001-8708, 07/2019, Volume 351, pp. 479 - 494
For all , we construct a metric space and a quasisymmetric mapping with the property that is not absolutely continuous with respect to the Hausdorff -measure... 
Metric space | Quasiconformal mapping | Absolute continuity | MATHEMATICS
Journal Article
Ecological Economics, ISSN 0921-8009, 12/2015, Volume 120, pp. 153 - 163
An ecological economics perspective on urban sustainability embraces a biophysical view which emphasizes the dependence of cities on vast quantities of natural... 
Spatial scales | Relative and absolute indices | Environmental policy | Urban biophysical sustainability | Environmental indicators | METHODOLOGIES | GOVERNANCE | CITIES | GLOBAL CHANGE | AIR-QUALITY INDEX | ENVIRONMENTAL SCIENCES | CITY | METABOLISM | INDICATORS | ECOLOGY | ECONOMICS | SCALE | ENVIRONMENTAL STUDIES | WORLD | Measurement | Sustainable development | Greenhouse gases
Journal Article
The Annals of Statistics, ISSN 0090-5364, 10/2013, Volume 41, Issue 5, pp. 2505 - 2536
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 01/2017, Volume 120, pp. 1 - 7
A Tobit regression model is studied with covariates of increasing dimensions. Asymptotic properties of the parameter estimator, such as consistency and... 
Tobit regression model | Asymptotic properties | Increasing dimensions | Least absolute deviation | CONSISTENCY | M-ESTIMATORS | APPROXIMATION | P2/N | STATISTICS & PROBABILITY | ASYMPTOTIC-BEHAVIOR | ROBUST REGRESSION | Labor market | Analysis | Models
Journal Article
Annals of Mathematics, ISSN 0003-486X, 5/2019, Volume 189, Issue 3, pp. 1001 - 1011
The Bernoulli convolution with parameter λ ϵ (0, 1) is the probability measure supported on that is the law of the random variable ∑±λ , where the ± are... 
MATHEMATICS | Bernoulli convolution | entropy | SELF-SIMILAR SETS | Mahler measure | self-similar measure | ABSOLUTE CONTINUITY | dimension of measures | FAMILY
Journal Article
Journal of Algebra, ISSN 0021-8693, 04/2015, Volume 428, pp. 190 - 204
The present paper shows that if or , where is the set of prime numbers, then there exist characteristic fields , of Brauer dimension and infinite absolute... 
Schur index | Exponent | Brauer/absolute Brauer p-dimension | Henselian field | Finitely-generated extension | Brauer group | MATHEMATICS | ALGEBRA | PERIOD-INDEX PROBLEM | Mathematics - Rings and Algebras
Journal Article
Oxford Journal of Legal Studies, ISSN 0143-6503, 2017, Volume 37, Issue 1, pp. 31 - 47
The principle of proportionality is necessary if it can claim validity in all legal systems. What can claim validity in all legal systems has absolute... 
Constitutional rights | Proportionality | Judicial review | Absolute validity | constitutional rights | judicial review | proportionality | absolute validity | LAW | Proportionality (Law) | Evaluation | Effectiveness and validity of law | Analysis | Constitutional law
Journal Article
PHYSICS OF PLASMAS, ISSN 1070-664X, 04/2014, Volume 21, Issue 4, p. 42705
Journal Article
Topology and its Applications, ISSN 0166-8641, 09/2017, Volume 228, pp. 243 - 276
Journal Article
Communications in Algebra, ISSN 0092-7872, 06/2018, Volume 46, Issue 6, pp. 2574 - 2581
Let (R, ) be a d-dimensional complete local domain of mixed characteristic p>0 and R + be the absolute integral closure of R. In this short note, as a weaker... 
local cohomology | almost Cohen-Macaulay | 13D22 | Absolute integral closure | 13D45 | linkage | quasi-Gorenstein rings | 13H10 | almost Cohen–Macaulay | MATHEMATICS | ALGEBRAS | EXTENSIONS | CONJECTURE | Integrals
Journal Article
Dissertationes Mathematicae, ISSN 0012-3862, 2017, Volume 526, Issue 526, pp. 1 - 102
Journal Article