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1)  deficit at final ruin
最终破产赤字
2)  deficit at ruin
破产赤字
1.
The explicit expression for the joint distribution of the time of ruin,the surplus immediately before ruin and the deficit at ruin is obtained according to the classical risk process with constant interest rate under a threshold dividend strategy.
根据按比例分红策略下具有常利率的传统风险过程,得到了关于破产时刻、破产前的瞬时盈余额及破产赤字的联合分布的确切表达式。
2.
Second, we get the expectation of the maximal deficit at ruin.
首先,算出了连续时间复合二项模型从破产到第一次恢复的过程中破产赤字的最大值所服从的分布。
3)  ultimate ruin
最终破产
1.
Under the assumption for existence of the adjustment coefficient,the asymptotic formulae for the ultimate ruin probability,the probabilities of surplus immediately before ruin and the deficit at ruin are given for sufficiently large initial surlus by means of a discrete key renewal limit theorem.
本文研究了离散的三项分布风险模型,在调节系数存在的前提下,借助于离散更新方程的一个极限定理,对于充分大的初始盈余给出了最终破产概率、破产前一刻的盈余和破产时赤字的概率的渐近解。
2.
The probability of ultimate ruin and the probability laws of the surplus immediately before ruin are discussed with emphasis.
本文探讨了离散的三项分布风险模型,重点研究了与风险有关的最终破产概率和破产前一刻的盈余的概率律。
3.
Particularly,the probability of ultimate ruin, the probability laws of the surplus immediately before ruin and the deficit at ruin a re discussed with emphasis.
本文系统地探讨了完全离散的经典风险模型,特别是重点研究了与风险有关的最终破产概率,破产前一刻的盈余和破产时赤字的概率律。
4)  the deficit at ruin
破产时赤字
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。
2.
Then receive the equations satisfied by ruin probability,the moments of the surplus immediately prior to ruin and the deficit at ruin.
研究了当保费率随理赔强度的变化而变化时C ox风险模型的折现罚金函数,利用后向差分法得到了折现罚金函数所满足的积分方程,进而得到了破产概率,破产前瞬时盈余、破产时赤字的各阶矩所满足的积分方程。
3.
By the way, some results about the distribution of the deficit at ruin and the probability of ruin are derived.
所有这些都为GerberandLandry (1998)和TsaiandWillmot (2 0 0 2 )中结论的前提假定提供了可靠的保证 ,同时 ,关于破产时赤字的分布及破产概率的一些结果也被得到 。
5)  deficit at ruin
破产时赤字
1.
We induce a functional and obtain its integral equation,from which we derive several integral equations,such as equations on the deficit distributions at the time of ruin,distribution of the instantaneous surplus immediately before ruin and the joint distribution of instantaneous surplus before ruin and deficit at ruin.
研究了常利率下更新风险模型,引入了一个泛函,并得到了它的积分方程,然后由此方程得到了生存概率、破产时赤字分布、破产前瞬时盈余分布,破产前瞬时盈余和破产时赤字的联合分布所满足的积分方程。
2.
Under the assumption for existence of the adjustment coefficient,the asymptotic formulae for the ultimate ruin probability,the probabilities of surplus immediately before ruin and the deficit at ruin are given for sufficiently large initial surlus by means of a discrete key renewal limit theorem.
本文研究了离散的三项分布风险模型,在调节系数存在的前提下,借助于离散更新方程的一个极限定理,对于充分大的初始盈余给出了最终破产概率、破产前一刻的盈余和破产时赤字的概率的渐近解。
3.
In this paper the joint distribution of the time of ruin,the surplus immediately before ruin,and the deficit at ruin is discussed in the compound binomial model.
讨论复合二项模型中破产前一刻的盈余、破产时赤字和破产时刻的联合分布。
6)  the distribution of the deficit after ruin
破产后赤字
1.
we conclude insurance company’s survival probability, the distribution of the deficit after ruin, ruin probability within limited time and recursive formula of time distribution of surplus at the first time below a given level x .
在考虑利率且保费收入为随机变量的离散时间模型下 ,得到了在停时T ,保险公司在初始准备金为u时的生存概率 ,破产后赤字分布 ,有限时间内的破产概率以及盈余首次低于某一个水平x的时间分布的递推公式 ,进而得到了破产时间分布的递推公
补充资料:股份有限公司的破产原因(破产界限)

股份有限公司的破产原因(破产界限)——
       股份有限公司的破产原因,又称破产界限,指法院判断是否宣告股份有限公司破产的根据和理由,即法院在何种情况下宣告债务人处于破产状态。《公司法》规定,股份有限公司不能清偿到期债务,即构成破产原因。


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