Aniq fanlar

The non uniform bounds of remainder term in CLT for the sum of functions of k-spacings

Uniform spacings, central limit theorem, non-uniform bound, exponential distribution.

Authors

  • Viktoriya Lazareva V.I. Romanovski Institute of Mathematics, Academy of Sciences of Uzbekistan, Uzbekistan

The paper establishes a non-uniform bound on the remainder term in the central limit
theorem for sum of functions of disjoint uniform k-spacings, where the step size k may increase
together with the sample size.