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1)  twice-continuous differentiability
二次连续可微性
1.
The integral expressions of the expected discounted penalty function at ruin Φ(u,w) and its decomposed formulas Φ d(u) and Φ s(u,w) are obtained, and their twice-continuous differentiability are proved.
当风险模型为带有随机干扰的经典风险过程时 ,破产时罚金折现期望函数Φ(u ,w)及其分解表达式Φd(u)和Φs(u ,w)的积分表达被得到 ,并且它们的二次连续可微性也得到证明 。
2)  twice continuous differentiability
连续性及二次连续可微性
1.
The inte- gral expressions,continuities,twice continuous differentiability and integro-diffcrential equations about F_δ(u;x),the distribution of the surplus immediately before ruin,and H_δ(u;x,y),the joint distribution of the surplus immediately before ruin and the deficit at ruin are obtained.
我们考虑既带有随机干扰又带有确定投资回报的风险过程,得到了破产前瞬间盈余的分布F_δ(u,x)及破产前瞬间盈余和破产时赤字的联合分布H_δ(u,x,y)所满足的积分表达,连续性及二次连续可微性和积分-微分方程。
3)  continuous differentiability
连续可微性
1.
The Feller expression of the expected discounted penalty function at ruin is obtained,and its continuous differentiability is proved.
考虑带有确定投资回报的经典风险过程下,得到了破产时罚金折现期望的积分表达、连续可微性及其所满足的积分方程和积分微分方程,并且给出了关于积分方程的解的一些讨论。
4)  n order continuity differentiable
n次连续可微
5)  n-times continuously differentiable
N次连续可微的
6)  subdifferentially continuity
次微分连续性
补充资料:连续性与非连续性(见间断性与不间断性)


连续性与非连续性(见间断性与不间断性)
continuity and discontinuity

11an父ux泊g四f“山。麻以角g、.连续性与非连续性(c。nt,n琳t:nuity一)_见间断性与不间断性。and diseo红ti-
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