@article{098ad4b4d85647199a2ae172f046c6c1,
title = "Sooner waiting time problems in a sequence of multi-state trials with random rewards",
abstract = "We investigate sooner waiting time problems in a sequence of independent multi-state trials with random rewards. Our result generalizes the sooner waiting time problems of Eryilmaz, Gong, and Xie (2016) for a sequence of trinary trials with random rewards to the case of multi-state trials. This generalization is obtained through the analysis of a Markov chain with a special transition structure.",
keywords = "Multi-state trials, Sooner waiting time, Stopping probability",
author = "Bara Kim and Jeongsim Kim",
note = "Funding Information: We are grateful to the reviewer for valuable comments and suggestions. B. Kim's research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2017R1A2B4012676). J. Kim's research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1B03029542). Funding Information: We are grateful to the reviewer for valuable comments and suggestions. B. Kim{\textquoteright}s research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) ( NRF-2017R1A2B4012676 ). J. Kim{\textquoteright}s research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( 2017R1D1A1B03029542 ). Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",
year = "2019",
month = oct,
doi = "10.1016/j.spl.2019.06.017",
language = "English",
volume = "153",
pages = "171--179",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier",
}