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In order to emphasize the quality of the spline estimator, with respect to that of the polynomial estimator, we have fitted the same data with a cubic spline function (of
Janson, Locantore and Rapoport studied the threshold function for the Sidon property and gave the exact probability distribution in 1999 (see [2]):... Theorem 1.3 (Godbole,
In this section, we establish a lower bound on the condition number κj in terms of the length of the shortest cycle on at least two vertices in ∆( T )that goes through vertex j..
Yor : An Analogue of Pitman’s 2M − X Theorem for Exponential Wiener Functionals, Part II: The Role of the Generalized Inverse Gaussian laws, Nagoya Math. Yor : Some changes
In this case the first component of the process is not con- strained to remain non-negative, and the process takes values in the Weyl chamber of type D, {| x 1 | < x 2 < x 3..
Metric entropy of the class of probability distribution functions on [0, 1] with a k-monotone density is studied through its connection with the small ball probability of
Then, to prove IDLA inner bound, we need to show that for each vertex v ∈ V the Green function from 0 and expected exit time from a ball around 0 of a random walk starting at v ,
Theorem 1 For any d ≥ 1 , there exists a class A of measurable subsets of R d of vc dimension equal to one such that absconv( A ) is rich with respect to all probability measures
