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

作者：Kamjornkittikoon Kamonrat; Neammanee Kritsana; Chaidee Nattakarn^*

来源：ScienceAsia, 2017, 43(2): 135-144.

DOI：10.2306/scienceasia1513-1874.2017.43.135

• bounded monotone size biased couplings
• clubbed binomial
• uniform and non-uniform bound

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.

• 出版日期2017-4