Abstract In this letter, we prove that the pure state space on $$n \times n$$ n×n complex Toeplitz matrices converges in Gromov–Hausdorff sense to $$C(S^1)$$ xmlns:mml="http://www.w3.org/1998/Math/MathML">C(<mml:m...

In some long term studies, a series of dependent and possibly truncated lifetime data may be observed. Suppose that the lifetimes have a common continuous distribution function F. A popular stochastic measure of the distance between the density function f of the lifetimes and its kernel estimate fn is the integrated square error (ISE). In this paper, we derive a central limit theorem for t...