Electronic Journal of Statistics
- Electron. J. Statist.
- Volume 12, Number 2 (2018), 2873-2904.
Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images
We propose a class of goodness-of-fit tests for complete spatial randomness (CSR). In contrast to standard tests, our procedure utilizes a transformation of the data to a binary image, which is then characterized by geometric functionals. Under a suitable limiting regime, we derive the asymptotic distribution of the test statistics under the null hypothesis and almost sure limits under certain alternatives. The new tests are computationally efficient, and simulations show that they are strong competitors to other tests of CSR. The tests are applied to a real data set in gamma-ray astronomy, and immediate extensions are presented to encourage further work.
Electron. J. Statist., Volume 12, Number 2 (2018), 2873-2904.
Received: October 2017
First available in Project Euclid: 18 September 2018
Permanent link to this document
Digital Object Identifier
Ebner, Bruno; Henze, Norbert; Klatt, Michael A.; Mecke, Klaus. Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images. Electron. J. Statist. 12 (2018), no. 2, 2873--2904. doi:10.1214/18-EJS1467. https://projecteuclid.org/euclid.ejs/1537257628