ruinprob(sdprisk)
ruinprob()所属R语言包:sdprisk
Calculation or Approximation of the Probability of Ruin
计算或近似的破产概率
译者:生物统计家园网 机器人LoveR
描述----------Description----------
This functions provide various approximation methods for the (total) probability of ruin, the probability of ruin due to oscillation and the probability of ruin due to a claim. Exact calculations are possible in the case of hypo-exponentially distrubuted claim amounts.
此功能提供了各种近似方法(总)破产概率,破产概率由于振荡的概率毁由于要求的。精确计算可能的情况下,低成倍distrubuted的索赔金额。
用法----------Usage----------
ruinprob(process, method = c("saddlepoint", "fft", "bounds", "hypoexp", "lundberg"), ...)
boundsRuinprob(process, interval, maxreserve, richardson = TRUE, use.splines = FALSE)
fftRuinprob(process, interval, maxreserve, n, use.splines = FALSE)
hypoexpRuinprob(process)
saddlepointRuinprob(process, jensen = FALSE, normalize = FALSE)
参数----------Arguments----------
参数:process
a "riskproc" object.
一个"riskproc"对象。
参数:method
character string indicating the method used for approximation or calculation.
字符串,表示用于近似计算的方法。
参数:interval
interval width for the discretization of the claim distribution.
的权利要求分布的离散的间隔宽度。
参数:maxreserve
maximal value of the initial reserve for which the approximation can be calculated.
该近似可以计算出的初始储备的极大值。
参数:n
Length of the probability vectors resulting from the discretization.
从所述离散化所得的概率矢量的长度。
参数:richardson
logical; if TRUE, Richardson extrapolation is used for the approximation of the probability of ruin due to oscillation.
逻辑,如果TRUE,Richardson外推用于近似的概率毁由于振荡。
参数:use.splines
logical; if TRUE, a cubic spline interpolation is used instead of step functions.
逻辑;如果TRUE,三次样条插值代替阶梯函数。
参数:jensen
logical; if TRUE, the formulae of <CITE>Jensen (1992)</CITE> are used instead of the ones by <CITE>Lugannani and Rice (1980)</CITE> and <CITE>Daniels (1954)</CITE> (see references).
逻辑;如果TRUE“的公式<CITE>詹森(1992)</ CITE>用于代替那些<CITE> Lugannani和Rice(1980)</ CITE> <CITE>丹尼尔斯(1954年)</ CITE>(请参阅参考资料)。
参数:normalize
logical; if TRUE, the saddlepoint approximation to the density is re-normalized such that it integrates to 1; only used if jensen is FALSE.
逻辑,如果如果TRUE,鞍点近似的密度重新归一化,它集成了1只用于jensen是FALSE。
参数:...
further arguments that are passed on to boundsRuinprob, fftRuinprob, hypoexpRuinprob or saddlepointRuinprob, depending on the value of method.
进一步的论据并把它传递到boundsRuinprob,fftRuinprob,hypoexpRuinprob或saddlepointRuinprob,根据的价值method。
Details
详细信息----------Details----------
ruinprob is a wrapper function for the other ones given here.
ruinprob是其他的人在这里给出一个包装函数。
值----------Value----------
参数:psi
the total probability of ruin (as a function of the initial reserve).
总的破产概率(作为一个功能的初始储备)。
参数:psi.1
the probability of ruin due to oscillation (as a function of the initial reserve).
由于振荡(作为一个功能的初始储备)的破产概率。
参数:psi.2
the probability of ruin due to a claim (as a function of the initial reserve).
由于要求(作为一个功能的初始储备)的破产概率。
参数:...
参考文献----------References----------
Annals of Mathematical Statistics 25(4), pp. 631–650.
Probability of Ruin in the Compound Poisson Risk Process with Diffusion. Mathematical and Computer Modelling 55(3–4), pp. 1169–1185
Saddlepoint Approximations. Biometrika 79(4), pp. 693–703.
Distribution of the Sum of Independent Random Variables. Advances in Applied Probability 12(2), pp. 475–490.
参见----------See Also----------
riskproc, claiminfo
riskproc,claiminfo
转载请注明:出自 生物统计家园网(http://www.biostatistic.net)。
注:
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