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Deviation inequalities for a supercritical branching process in a random environment

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 نشر من قبل Huiyi Xu
 تاريخ النشر 2021
  مجال البحث
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 تأليف Huiyi Xu




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Let $left { Z_{n}, nge 0 right }$ be a supercritical branching process in an independent and identically distributed random environment $xi =left ( xi _{n} right )_{ngeq 0} $. In this paper, we get some deviation inequalities for $ln left (Z_{n+n_{0} } / Z_{n_{0} } right ).$ And some applications are given for constructing confidence intervals.

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