In this paper, we discuss properties of convergence for a modification of the q-Bernstein operators. Using the notion of A-statistical approximation, where A is a nonnegative regular summability matrix, we investigate the Korovkin type statistical approximation properties of this modification via A-statistical approximation. For 0 < q ≤ 1, we obtain that the q-Bernstein operators is A-statistic...

Latent Gaussian models are flexible models that are applied in several statistical applications. When posterior marginals or full conditional distributions in hierarchical Bayesian inference from these models are not available in closed form, Markov chain Monte Carlo methods are implemented. The component dependence of the latent field usually causes increase in computational time and divergenc...

In this paper, we define the concept of statistical relative uniform convergence deferred Nörlund mean and prove a general Korovkin-type approximation theorem by using method. As an application, use classical Bernstein polynomials for defining operator that satisfies our new but does not satisfy given before. Additionally, estimate rate approximating positive linear operators means modulus cont...