Theory in actuarial science and applied probability
"Risk theory" redirects here. For another use, see Tirpitz Plan.
In actuarial science and applied probability, ruin theory (sometimes risk theory[1] or collective risk theory) uses mathematical models to describe an insurer's vulnerability to insolvency/ruin. In such models key quantities of interest are the probability of ruin, distribution of surplus immediately prior to ruin and deficit at time of ruin.
^Embrechts, P.; Klüppelberg, C.; Mikosch, T. (1997). "1 Risk Theory". Modelling Extremal Events. Stochastic Modelling and Applied Probability. Vol. 33. p. 21. doi:10.1007/978-3-642-33483-2_2. ISBN 978-3-540-60931-5.
probability, ruintheory (sometimes risk theory or collective risk theory) uses mathematical models to describe an insurer's vulnerability to insolvency/ruin. In...
appear is in ruintheory, the study of the risk of insolvency in actuarial science. The objective is to quantify the probability of ruin ψ ( u ) = P [...
some basic ideas of the theory can be traced to Laplace, the formalization started with insurance mathematics, namely ruintheory with Cramér and Lundberg...
flows Polar tangential angle of a curve Probability of ultimate ruin, in ruintheory Supergolden ratio Reciprocal Fibonacci constant Population Stability...
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first to define a collective theory of risk and to apply a sophisticated probabilistic formulation to the insurance ruin problem. Lundberg’s work anticipated...
equation Palm–Khintchine theorem Poisson process Queueing theory Residual time Ruintheory Semi-Markov process Von Foerster equation Grimmett & Stirzaker...
value Black swan theory Category:Actuarial associations Data mining List of actuarial topics Reinsurance Actuarial Premium Ruintheory Scenario optimization...
finance Mathematical statistics Probability theory Queueing theory Renewal theoryRuintheory Signal processing Statistics Stochastic analysis Time series...
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Radiative transfer Renewal theory Viscoelasticity Fluid mechanics Differential equation Integro-differential equation Ruintheory Volterra integral equation...
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finance Mathematical statistics Probability theory Queueing theory Renewal theoryRuintheory Signal processing Statistics Stochastic analysis Time series...
Speer while planning for the 1936 Summer Olympics and published as "The Theory of Ruin Value" (Die Ruinenwerttheorie), although he was not its original inventor...
into existence through the efforts of Joe Gani. Areas of application: Ruintheory Statistical physics Stoichiometry and modelling chemical reactions Ecology...
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Galton–Watson process Galton's problem Gambler's fallacy Gambler's ruin Gambling and information theory Game of chance Gamma distribution Gamma test (statistics)...
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and ψ {\displaystyle \psi } is used as the probability of ultimate ruin in ruintheory. In this context, it is logical to ensure that P θ ( τ ( c ) < ∞...
criterion Market risk Mathematics of bookmaking Risk Risk-neutral measure Ruintheory Sethi model Technical analysis Value at risk Variance gamma process /...
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