On Discrete Gibbs Measure Approximation to Runs

Abstract

A Stein operator for the runs is derived as a perturbation of an operator for discrete Gibbs measure. Due to this fact, using perturbation technique, the approximation results for runs arising from identical and non-identical Bernoulli trials are derived via Stein method. The bounds obtained are new and their importance is demonstrated through an interesting application.

31 pages

References in corpus (4)

• Stein's method for discrete Gibbs measures
• Pseudo-binomial Approximation to $(k_1,k_2)$-runs
• On Perturbations of Stein Operator
• On Stein operators for discrete approximations

Cited by in corpus (1)

• Stein's Method for Tempered Stable Distributions