Non-uniform bounds for the dermal patch problem via Stein's method

Kamonrat Kamjornkittikoon, Kritsana Neammanee, Nattakarn Chaidee
2017 ScienceAsia  
The number of doses in a dermal patch under the standard protocol of drug administration is analysed via a mathematical model. Goldstein and Zhang gave a uniform Berry-Esseen bound for the number of receptors active at the terminal time by using a version of Stein's method for bounded monotone size-biased couplings. In this paper, we generalize their work to the case of a non-uniform bound. KEYWORDS: bounded monotone size biased couplings, clubbed binomial, uniform and non-uniform bound MSC2010: 60F05 60E50 62P10
doi:10.2306/scienceasia1513-1874.2017.43.135 fatcat:cu5milsqd5bu7k3iw7vkbds6jy