ruin probability 中文意思是什麼

ruin probability 解釋
破產概率
  • ruin : n 1 毀滅,滅亡;瓦解,崩潰;沒落,破產,敗落;(女人的)墮落;沒落者,破產者;毀壞,破壞。2 〈pl ...
  • probability : n 1 或有;或然性。2 【哲學】蓋然性〈在 certainly 和 doubt 或 posibility 之間〉。3 【數學】幾率,...
  1. Ruin probability of the double negative binomial risk model

    雙負二項風險模型的破產概率
  2. In this paper, we study two correlated riskmodel. we give the relation between these models through made comparisons. we generalize common poisson process in correlated aggregate claims model ofwang and yuen ( 2005 ) and consider compound poisson - geometric process. weexamine basic properties and upper bounds for the ruin probability of compoundpoisson - geometric risk model with thinning - dependence structure. we also inves - tigate the impact of the thing - dependence structure on the ruin probability

    在王過京和kamc . yuen ( 2005 )等研究的基礎上,本文將其相關模型中的普通poisson分佈推廣為具有許多優良性質的復合poisson - geometric分佈,考察稀疏相依結構下的復合poisson - geometric風險模型的基本性質及破產概率的上界,並對此類相依結構對破產概率的影響進行分析。
  3. The ruin probability of a discrete - time risk model with two - type claims

    一個離散時間風險模型的若干遞推公式
  4. The ruin probability of the risk model of time surplus with stochastic interest

    完全離散二項風險模型下有限時間內的生存概率問題
  5. In chapter 1, we briefly reviewed the risk theory and its development. and the significance about this paper was expressed. in chapter 2, we introduced classical risk model. in which, making this risk process into a strong markovian process is the preparation of deriving the main results. chapter 3 is the main body of the paper, we derived the results about general ruin probability in a kind of continuous time risk model with deficit - time geometry distribution of claim inter - occurrence time. the martingale approach is a good procedure to get the expression of ruin probability about a class of continuous time risk models with deficit - time geometry distribution of claim inter - occurrence time. we also take advantage of change of measure idea from it

    第二章介紹了經典風險模型,其中用逐段決定馬爾可夫過程理論及補充變量技巧,使一類風險模型的盈餘過程成為齊次強馬爾可夫過程。第三章作為本文的主體部分,在索賠到達間隔服從虧時幾何分佈的連續時間風險模型中,索賠額分佈為一般分佈,它的破產概率可以利用pdmp中的廣義生成運算元得出鞅,通過調節系數的選擇以及在相應測度下的測度變換,使得破產概率的一般解可以表示出來。
  6. In the study of risk theory, a class of continuous time risk process with deficit - time geometry distribution of claim inter - occurrence time was made into a strong piecewise - deterministic markov process with the theory of piecewise - deterministic markov process and by introducing a supplementary variable. martingale approach is one of the most powerful methods of pdmp. the programming process is getting the ruin probability from the martingale construction. we use the idea of change of measure in the programming process and find the result and the function of adjustment coefficient

    本文應用逐段決定馬爾可夫過程理論及補充變量技巧,使索賠到達間隔服從虧時幾何分佈的連續時間風險過程成為齊次強馬爾可夫過程,然後利用pdmp中的鞅方法(用廣義生成運算元得出鞅)推導了鞅的形式,作為該風險模型索賠額分佈為一般分佈下的破產概率的一般表達式,其中用到了測度變換的思想。
  7. Cramer - lundberg model is changed into the form : in chapter 2, we will discuss two - sided bounds for the ruin probability ( u, c, t ) of the risk model in finite time [ 0, t ], where ( u, c, t ) is defined by we get an estimate :, when n > n where 0 < < 1

    我們在該章中是在索賠額的分佈是gerv族( generalizedextendedregularlyvarying )並帶有安全負荷的條件下得到了一個關于中心化隨機和s 、 ( , )的大偏差的估計:對于任意固定的y > 0與6 > 0 , / , , 。
  8. This risk process is made into a homogeneous piecewise deterministic markov process by introducing supplementary components from forward markovization technique. then a martingale is found by the martingale approach of piecewise deterministic markov process ( pdmp ). the general expression and the lundberg bound of the ruin probability are derived subsequently. the idea of change of the probability measure and the adjustment coefficient are used to find the lundberg bound

    首先利用向前馬爾可夫技巧使此風險過程成為齊次馬爾可夫過程,然後利用逐段決定馬爾可夫過程( pdmp )中的鞅方法,得到本文風險模型中鞅的形式,繼而求得索賠額分佈為一般離散分佈的破產概率的一般表達式,並得到破產概率的lundberg界,這里用到了測度變換的思想,從中可以看出調節系數的重要作用。
  9. This paper consists of three chapters. the first one is the preparatory knowledge underlying this paper, including the basic concepts of the piece - wise deterministic markov processes ( pdmp ), the renewal equation, the key renewal theorem and some results about the classical risk model, which come from [ 2 ], [ 8 ] and [ 9 ]. the second one introduces the results about the general ruin probability in a kind of continuous - time risk model with the deficit - time geometric distribution of inter - occurrence times, in which claim sizes are discretly distributed. these come from [ 6 ]. the main body of this paper is the third one where we derive lundberg bounds, cramer - lundberg approximations to the ruin probability and finite - horizon lundberg inequalities

    本文共三章,第一章是奠定本論文基礎的相關知識,包括逐段決定馬爾可夫過程的一些基本概念、更新方程與關鍵更新定理的內容以及經典風險模型的介紹,主要取自[ 2 ] 、 [ 8 ]和[ 9 ] 。第二章介紹了該風險模型在索賠額分佈為一般分佈下的破產概率的一般表達式及相關定理,內容來自[ 6 ] 。第三章是本文的主體,求得了該模型的破產概率的lundberg界, cram r - lundberg逼近以及有限時間破產概率的lundberg不等式。
  10. Risk theory is a hot topic in the present actuarial science and mathematics research. it helps to construct the risk model in the light of the instrument of stochastic processes and to study the problems of ruin probability and adjustment coefficient

    風險理論是當前精算界和數學界研究的熱門課題,最初主要藉助隨機過程理論來構造保險經營中的余額過程,並研究其破產概率、調節系數等問題
  11. Ruin probability for the negative risk sum model perturbed by diffusion

    帶干擾負風險和模型的破產概率
  12. Integral equation of the ruin probability of a markovian risk process

    馬氏風險模型破產概率的積分方程
  13. The ruin probability of a series of surplus process and its application

    一類盈餘過程的破產概率及其應用
  14. Especially, we investigate a local asymptotic behavior of the probability of ruin which individual claims size have a distribution that belongs to s ( v ) with v > 0. the main results : theorem 2. 3. 2 let satisfies the defective renewal equation, where theorem 2. 3. 2 the ruin probability ( u ) has the following expression ( 2. 3. 3 ) where 7 ( 11 ) is defined in theorem 2. 2. 2 and dx

    1時,罰金折現期望廠』 … )便為最終破產概率(山(叫) ,所以破產概率也滿足一高階積分一微分方程;由此得到了破產概率的拉普拉斯變換,從而得到了破產概率所滿足的一股疵的更新方程
  15. A local theorem for ruin probability in the classical risk model perturbed by diffusion

    帶隨機干擾經典風險模型破產概率的局部定理
  16. In this paper, we use the idea of the classical risk model and consider a continuous - time risk model with inter - occurrence times following the deficit - time geometric distribution. by an application of the key renewal theorem in the case of the lattice distribution we derive lundberg bounds, cramer - lundberg approximations to the ruin probability and finite - horizon lundberg inequalities

    本文利用經典風險模型的思想,對索賠到達時間間隔服從虧時幾何分佈的連續時間風險模型做了進一步的研究,應用關鍵更新定理(格點分佈的情形) ,得到了破產概率的lundberg界, cram r - lundberg逼近以及有限時間破產概率的lundberg不等式。
  17. The research methods are : using the conditional probability theory to work out the moment generating function of process s ( t ) and its distribution function ; using the increasing and declining character and the convexity to compare the lundberg exponent and the ruin probability of different processes

    研究方法為:利用條件概率證明過程s ( t )的矩母函數以及其分佈函數;利用增減性以及凹凸性比較lundberg指數,從而比較其相關性對破產概率的影響。
  18. In chapter two, we consider the non - ruin probability. in section one. by adapting the techniques in [ 5 ], we obtain the integral expression of non - ruin probability in section two, firstly, we prove the twice continuous differentiability of non - ruin probability, then we obtain the integral - differential equation satisfied by ( u ) in section three, we introduce the auxiliary function e ( u ). as u = 0, gives 0

    類似於[ 5 ]中的方法得到不破產概率滿足的積分表達式在第二節中,首先證明了不破產概率的二次連續可微性,然後得到不破產概率滿足的積分-微分方程由於不破產概率零初值時的值不確定,我們在第三節中引入了輔助函數e _ ( u ) ,使得u 0時, e _ ( 0 ) 0 。
  19. Three kinds of model the ratio model, short - term collective risk model, and ruin probability model are adopted to calculate the minimum solvency margin of non - life insurance companies

    本文採用了比率模型、短期聚合風險模型、破產概率模型三種模型,計算非壽險保險公司最低償付能力額度。
  20. Then we get ruin probability, actuarial diagnostics and lundberg inequality in the new model. as to the risk model with random premium rate, we concerned with discrete random variable, continuous random variable and general random variable. we derive the formula of ruin probability, the extreme during the total duration of negative surplus and the joint distribution of the surplus immediately before ruin and the deficit at ruin

    對于保費率為隨機變量的一類風險模型,本文就離散的隨機變量、連續的隨機變量、一般的隨機變量三個方面進行討論,運用概率方法和風險理論的方法推導出破產概率、末離前最大盈餘分佈、破產前瞬時盈餘與破產赤字的聯合分佈等精算量分佈的一般公式。
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