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Coefficient-Based Regression with Non-Identical Unbounded Sampling

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  • Jia Cai

Abstract

We investigate a coefficient-based least squares regression problem with indefinite kernels from non-identical unbounded sampling processes. Here non-identical unbounded sampling means the samples are drawn independently but not identically from unbounded sampling processes. The kernel is not necessarily symmetric or positive semi-definite. This leads to additional difficulty in the error analysis. By introducing a suitable reproducing kernel Hilbert space (RKHS) and a suitable intermediate integral operator, elaborate analysis is presented by means of a novel technique for the sample error. This leads to satisfactory results.

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  • Jia Cai, 2013. "Coefficient-Based Regression with Non-Identical Unbounded Sampling," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, June.
    • Handle: RePEc:hin:jnlaaa:134727
    DOI: 10.1155/2013/134727
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