Operator methods in the problem of estimating the asymptotics of the time of the first hit for the birth and death process

• Date: 1993
• Main Authors: Mazhuga, Yu. I., Мажуга, Ю. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5906
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Estimates are established for the exponential asymptotics of the time of the first hit of a certain level $n$ for the birth and death process.