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Publications

  1. Cheng, D., Cammarota, V., Fantaye, Y., Marinucci, D. and Schwartzman, A. (2017+). Multiple testing of local maxima for detection of peaks on the (celestial) sphere. Submitted. 
  2. Cheng, D. and Schwartzman, A. (2017+). Expected number and height distribution of critical points of smooth isotropic Gaussian random fields. Bernoulli. To appear. 
  3. Cheng, D. and Schwartzman, A. (2017). Multiple testing of local maxima for detection of peaks in random fields. Annals of Statistics. 45, 529–556.
  4. Cheng, D. (2017). Excursion probabilities of isotropic and locally isotropic Gaussian random fields on manifolds. Extremes. 20, 475–487.
  5. Cheng, D. (2016). Excursion probability of certain non-centered smooth Gaussian random fields. Stochastic Processes and Their Applications. 126, 883–905.
  6. Cheng, D. and Xiao, Y. (2016). Excursion probability of Gaussian random fields on spheres. Bernoulli. 22, 1113–1130.
  7. Cheng, D. and Xiao, Y. (2016). The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments. Annals of Applied Probability. 26, 722–759.
  8. Cheng, D. and Schwartzman, A. (2015). Distribution of the height of local maxima of Gaussian random fields. Extremes18, 213–240.
  9. Cheng, D. (2014). Double extreme on joint sets for Gaussian random fieldsStatistics and Probability Letters92, 79–82.

Working Papers

  1. Cheng, D. and Xiao, Y. "The expected Euler characteristic approximation for Gaussian vector fields". 
  2. Cheng, D. and Schwartzman, A. "Certain explicit height distributions and expected numbers of critical points of isotropic Gaussisan random fields". 
  3. Cheng, D. and Schwartzman, A. "Multiple testing of local extrema for detection of change points". 
  4. Schwartzman, A., Cheng, D. and Adler, R. "Estimation of expected Euler characteristic curves of nonstationary Gaussian random fields".
  5. Cheng, D. "Distribution of the height of local maxima of isotropic Gaussian random fields on manifolds".