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Construction of uniform U designs
discrepancy generalized wordtype pattern U design stochastic algorithm
2016/1/26
Orthogonal array based-Latin hypercubes, also called U designs, have popularly been adopted for designing a computer experiment. The relationship between the averaged squared discrepancy of all U desi...
Construction of uniform U designs
discrepancy generalized wordtype pattern U design stochastic algorithm
2016/1/20
Orthogonal array based-Latin hypercubes, also called U designs, have popularly been adopted for designing a computer experiment. The relationship between the averaged squared discrepancy of all U desi...
A functional Hungarian construction for the sequential empirical process
functional Hungarian construction sequential empirical process
2015/8/25
We establish a KMT coupling for the sequential empirical process and the KieferMüller process. The processesare indexed by functions f from a Hölder class H, but the supremum over f ∈ H is taken ...
A FUNCTIONAL HUNGARIAN CONSTRUCTION FOR SUMS OF INDEPENDENT RANDOM VARIABLES
Komlos-Major–Tusnády inequality Partial sum process Non-identically distributed variables Function classes Asymptotic equivalence of statistical experiments
2015/8/25
We develop a Hungarian construction for the partial sum process of independent non-identically distributed random variables. The process is indexed by functions f from a class H, but the supremum over...
Ordinal Discriminant Analysis: A new approach to the construction of optimal linear scores for ordinal risk categories
Ordinal Discriminant Analysis optimal linear scores ordinal risk categories
2011/1/4
Most classification methods provide either a prediction of group membership or an assessment of class membership probability. In the case of two-group classification the predicted probability can be d...
Construction of the Normal Form for Elliptic Tori in Planetary Systems. Part I: Numerical Validation of the Semi-Analytic Algorithm
Dynamical Systems (math.DS) Chaotic Dynamics (nlin.CD)
2010/11/10
We adapt the Kolmogorov's normalization algorithm (which is the key element of the original proof scheme of the KAM theorem) to the construction of a suitable normal form related to an invariant ellip...