TY - JOUR AU - D. V. Gusak PY - 2012/07/25 Y2 - 2024/03/28 TI - Conditions for balance between survival and ruin JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 64 IS - 7 SE - Short communications DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2633 AB - Let $\xi_t$ be a classic risk process or a risk process with stochastic premiums. We establish conditions for balance between ruin and survival in the case of zero initial capital $u = 0$ (ruin probability $q_{+} = \psi(0) = 1/2$, survival probability $p_{+} = 1 — q_{+} = 1/2$) and determine premium estimates under these conditions. ER -