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Research articles

ScienceAsia 43 (2017): 135-144 |doi: 10.2306/scienceasia1513-1874.2017.43.135

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.

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Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330 Thailand

* Corresponding author, E-mail: nattakarn.c@chula.ac.th

Received 20 Jul 2015, Accepted 28 May 2017