We study the convergence of a drift implicit scheme for one-dimensional SDEs that was considered by Alfonsi [1] for the Cox-Ingersoll-Ross (CIR) process. Under general conditions, we obtain a strong convergence of order 1. In the CIR case, Dereich, Neuenkirch and Szpruch [2] have shown recently a strong convergence of order 1/2 for this scheme. Here, we obtain a strong convergence of order 1 un...

Ethical intuitionists like W.D. Ross adopt the common sense view that there is an irreducible plurality of types of ethically relevant considerations. They furthermore hold that there is no explicit method determining how to move from facts about which considerations are present to a conclusion about what it would be right to do. In order to systematize our moral reasoning, ethical intuitionist...

Cox regression model serves as a statistical method for analyzing the survival data, which requires some options such as hazard proportionality. In recent decades, artificial neural network model has been increasingly applied to predict survival data. This research was conducted to compare Cox regression and artificial neural network models in prediction of kidney transplant survival. The prese...

cox regression model serves as a statistical method for analyzing the survival data, which requires some options such as hazard proportionality. in recent decades, artificial neural network model has been increasingly applied to predict survival data. this research was conducted to compare cox regression and artificial neural network models in prediction of kidney transplant survival. the prese...

We present recently developed geometric methods for the analysis of finite dimensional term structure models of the interest rates. This includes an extension of the Frobenius theorem for Fréchet spaces in particular. This approach puts new light on many of the classical models, such as the Hull-White extended Vasicek and Cox-Ingersoll-Ross short rate models. The notion of a finite dimensional ...

This note contains two main results. (1) (Discrete time) Suppose S is a martingale whose marginal laws agree with a geometric simple random walk. (In financial terms, let S be a risk-neutral asset price and suppose the initial option prices agree with the Cox–Ross–Rubinstein binomial tree model.) Then S is a geometric simple random walk. (2) (Continuous time) Suppose S = S0eσX−σ 〈X〉/2 is a cont...

The Cox model is now 50 years old. seminal paper of Sir David has had an immeasurable impact on the analysis censored survival data, with applications in many different disciplines. This work also stimulated much additional research diverse areas and led to important theoretical practical advances. These include semiparametric models, nonparametric efficiency, partial likelihood. In addition qu...