A General Solution of the Type I McKay Distribution's Stein Equation
Received:October 08, 2022  Revised:November 25, 2022
Key Words: Stein's method   Stein equation   Type I McKay Distribution  
Fund Project:Supported by the Dalian High-level Talent Innovation Program (Grant No.2020RD09) and the National Natural Science Foundation of China (Grant No.12371154).
Author NameAffiliation
Jingcai YANG School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
Dawei LU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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Abstract:
      In this paper, we obtain the general solution of Type I McKay Distribution's Stein equation. We prove that the bounded solution of Type I McKay Distribution's Stein equation exists and it is unique. Furthermore, some properties of the unique bounded solution are provided, which could be useful for Type I McKay Distribution's approximation.
Citation:
DOI:10.3770/j.issn:2095-2651.2023.05.008
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