ScienceAsia 43(2017): 135-144 |doi:
Non-uniform bounds for the dermal patch problem via Stein's method
Kamonrat Kamjornkittikoon, Kritsana Neammanee, Nattakarn Chaidee*
ABSTRACT: 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.
|Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330 Thailand
* Corresponding author, E-mail: email@example.com
Received 20 Jul 2015, Accepted 28 May 2017