A continuous spectral density for a random field of continuous-index

By Jason D. Shaw. 2009

73 citations recorded by the source corpus.

Linear dependence coefficients are defined for random fields of continuous-index, which are modified from those already defined for random fields indexed by an integer lattice. When a selection of these linear dependence conditions are satisfied, the random field will have a continuous spectral density function. Showing this involves the construction of a special class of random fields using a standard Poisson process and the original random field.

Subfields: Applied Mathematics, Geometry and Topology, Management Science and Operations Research

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Leila Wehbe
2. Aaditya Ramdas

In Geometry and Topology

1. Leila Wehbe
2. Aaditya Ramdas

In Management Science and Operations Research

1. Leila Wehbe
2. Aaditya Ramdas

Citations in the corpus

• Nonparametric Independence Testing for Small Sample Sizes (2014, background): “Such “oracle” arguments also exist elsewhere in the literature, like [Ledoit and Wolf, 2004], so we provide only a brief proof outline.”