Kinematic Formula for Heterogeneous Gaussian Related Fields

@article{Panigrahi2017KinematicFF,
  title={Kinematic Formula for Heterogeneous Gaussian Related Fields},
  author={Snigdha Panigrahi and Jonathan E. Taylor and S. Vadlamani},
  journal={arXiv: Probability},
  year={2017}
}
We provide a generalization of the Gaussian Kinematic Formula (GKF) in Taylor(2006) for multivariate, heterogeneous Gaussian-related fields. The fields under consideration are non-Gaussian fields built out of smooth, independent Gaussian fields with heterogeneity in distribution amongst the individual building blocks. Our motivation comes from potential applications in the analysis of Cosmological Data (CMB). Specifically, future CMB experiments will be focusing on polarization data, typically… Expand
2 Citations

References

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Euler characteristics for Gaussian fields on manifolds
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