应用概率统计

 Office Online
 Journal Online

Current Issue

 2008 Vol.24 Issue.6,Published 2008-11-20
 学术论文
 561 Convergence Theorems of the Limit Processes of Integrated Errors of Semimartingale Sequence Xiao Xiaoqing,Xie Yingchao Jacod, Jakubowski and M\'emin studied the integrated error processes $Y^n(X)$ and $Z^{n,p}(X)$ which relates to the error process $^n\!X_t=X_t-X_{[nt]/n}$ for semimartingale $X$ with independent increments. And they also investigated the limit theorems for the semimartingale sequence $\{(Y(X^n),Z^p(X^n))\}_{n\ge 1}$. If denote the limit points of $\{(Y(X^n),Z^p(X^n))\}_{n\ge 1}$ by$(Y(X),Z^p(X))$, Jacod et al. gave the formula of $(Y(X),Z^p(X))$. In this paper, we will investigate the convergence theorems of $Y(X^n)$ and $Z^{p}(X^n)$ for semimartingale sequence $\{X^n\}_{n\ge 1}$. We study mainly the convergence in law and the stable convergence in law of $\{(X^n,Y(X^n),Z^p(X^n))\}_{n\ge 1}$. 2008 Vol. 24 (6): 561-573 [Abstract] ( 2286 ) [HTML 0KB] [ PDF 260KB] ( 1551 )
 574 An Approach for Constructing Some $2_{\rm{III}}^{m-(m-k)}$Designs with the Maximum Number of Clear Two-Factor Interactions Yang Guijun This paper provides an approach for constructing $2_{\text{III}}^{m-(m-k)}$ designs containing the maximum number of clear two-factor interactions. The designs obtained contain more clear two-factor interactions than those obtained Tang et al. (2002) for some $m$ and $k$. Moreover, the designs constructed are shown to have concise grid representations. 2008 Vol. 24 (6): 574-580 [Abstract] ( 1847 ) [HTML 0KB] [ PDF 182KB] ( 1380 )
 581 The Ruin Probability of Classical Risk Model and the Distribution of the Cycle Maximum of the M/G/1 Queue Xing Yongsheng, Ma Jianjing In this paper, the relationship of classical risk model and the M/G/1 is considered. Applying the ruin probability of risk model, the distribution of the cycle maximum of the M/G/1 queue is derived. 2008 Vol. 24 (6): 581-584 [Abstract] ( 2032 ) [HTML 0KB] [ PDF 176KB] ( 1722 )
 585 Ruin Probability for Correlated Risk Process that is Perturbed by Diffusion Gu Peipei, Wang Guojing In this paper, we introduce a correlated risk process that is perturbed by diffusion with common shock. We study how the dependence between the classes impacts on the ruin probability. We do this mainly by comparing the influences of the dependence on the sizes of the Lundberg exponents of the risk processes. 2008 Vol. 24 (6): 585-592 [Abstract] ( 2062 ) [HTML 0KB] [ PDF 198KB] ( 1515 )
 593 Consistency and Asymptotic Normality of the Maximum Likelihood Estimator in Exponential Family Nonlinear Models Xia Tian, Kong Fanchao This paper proposes some regularity conditions which weaken those given by Zhu \& Wei (1997). On the basis of the proposed regularity conditions, the existence, the strong consistency and the asymptotic normality of maximum likelihoodestimation (MLE) are proved in exponential family nonlinear models(EFNMs). Our results may be regarded as a further improvement of thework of Zhu \& Wei (1997). 2008 Vol. 24 (6): 593-603 [Abstract] ( 2386 ) [HTML 0KB] [ PDF 211KB] ( 1516 )
 604 Skew normal distribution, quadratic form, skewness, kurtosis. Fang Biqi In this paper, we derived the moments of the random vectors with the skew normal distributions and their quadratic forms in the general case. As an application, the measures of multivariate skewness and kurtosis are calculated. 2008 Vol. 24 (6): 604-612 [Abstract] ( 2055 ) [HTML 0KB] [ PDF 187KB] ( 1526 )
 613 The Martingale Pricing for Convertible Bond with Dividend-Paying under Stochastic Interest Zhu Dan, Yang Xiangqun The value composition of the convertible bond is discussed in a quantitative analysis. Under stochastic interest, the stock has dividend-paying, the pricing formulas of the convertible bond are obtained by means of Martingale approach(risk-neutral valuation). 2008 Vol. 24 (6): 613-620 [Abstract] ( 1896 ) [HTML 0KB] [ PDF 219KB] ( 1630 )
 621 Quick Algorithm for Least Absolute Deviation Estimator Lu Shulong, Liu Wenli Least square estimator (LSE) is disturbed easily by singular point; least absolute deviation estimator (LADE) can overcome the influence of singular point, but it is difficult in calculation. A convergent algorithm for LADE based on the stablepole theorem of LADE under non-degenerate model is obtained in this paper. The progress of algorithm and comparison of linear programming are derived. Further this algorithm makes LADE more effective. 2008 Vol. 24 (6): 621-630 [Abstract] ( 2807 ) [HTML 0KB] [ PDF 240KB] ( 2798 )
 631 The Expected Discounted Penalty at Ruin under a Stochastic Interest Rate Wang Houchun In the classical risk model, the conception of the expected discounted penalty at ruin with a stochastic interest rate is introduced. The interest randomness is described by standard Wiener process and Poisson process. The renewal equation for the expected discounted penalty at ruin is derived, and theasymptotic formula for it is derived by virtue of this equation. 2008 Vol. 24 (6): 631-638 [Abstract] ( 1927 ) [HTML 0KB] [ PDF 229KB] ( 1592 )
 639 The Superiority of Bayes Linear Unbiased Estimation in the Growth Curve Model Zhou Jingwen, Wei Laisheng Under quadratic loss function, the Bayes linear unbiased estimator (LUE) is derived for the growth curve model. The superiority of Bayes LUE over the generalized least square estimator (GLSE) is studied in terms of the mean square error matrix (MSEM) criterion. Finally, the superiority of the Bayes LUE of estimable functions for non-full rank case is considered further. 2008 Vol. 24 (6): 639-647 [Abstract] ( 1956 ) [HTML 0KB] [ PDF 206KB] ( 1449 )
 648 Valuation of Equity-Indexed Annuity under Jump Diffusion Process Qian Linyi, Zhu Liping, Yao Dingjun The Equity-Indexed Annuity (EIA) contract offers a proportional participation in the return on a specified equity index, in addition to a guaranteed return on thesingle premium. In general, valuation of Equity-Indexed Annuity is often assumed that the equity index is within the Black-Scholes framework. But some rare events (release of an unexpected economic figure, major political changes or even a natural disaster in a major economy) can lead to brusque variations in prices. So in the present work we study the equity index following a jump diffusion process. By Esscher transform, we obtain a closed form of the valuation of point-to-point EIA, which can be expressed as a function of some pricing factors. Finally, we conduct several numerical experiments in which, the break even participation rate $\alpha$ can be solved when the other factors are fixed. The relationship between $\alpha$ and the other factors are also discussed. 2008 Vol. 24 (6): 648-659 [Abstract] ( 2257 ) [HTML 0KB] [ PDF 229KB] ( 1795 )
 应用简报
 660 2008 Vol. 24 (6): 660-665 [Abstract] ( 1568 ) [HTML 0KB] [ PDF 231KB] ( 1546 )
 666 2008 Vol. 24 (6): 666-670 [Abstract] ( 2047 ) [HTML 0KB] [ PDF 186KB] ( 2763 )
 学术活动报道
 671 2008 Vol. 24 (6): 671-672 [Abstract] ( 1488 ) [HTML 0KB] [ PDF 78KB] ( 1495 )

 News

 ·
 ·
 ·
 · New and modified homepage for APS comes