Deconvolution under monotonicity assumptions

Dragi Anevski

Centre for Mathematical Sciences
Mathematical Statistics
Lund Institute of Technology,
Lund University,

ISSN 1403-9338
We state limit distribution results for the isotonic inverse estimator of a distribution function when the data are disturbed by a random variable with a decreasing density. Three different dependence structures are considered: independent, weak dependent and suboordinated gaussian long range dependent data.