A zero-inflated occupancy distribution: Exact results and Poisson convergence.
We extend the Lindeberg method for the central limit theorem to strongly mixing sequences. Here we obtain a generalization of the central limit theorem of Doukhan, Massart and Rio to nonstationary strongly mixing triangular arrays. The method also provides estimates of the Lévy distance between the distribution of the normalized sum and the standard normal.
The possibilities of almost sure approximation of unbounded operators in by multiples of projections or unitary operators are examined.