Current Issue : July - September Volume : 2013 Issue Number : 3 Articles : 4 Articles
While univariate instances of binomial data are readily handled with generalized linear models,\r\ncases of multivariate or repeated measure binomial data are complicated by the possibility of\r\ncorrelated responses. Likelihood-based estimation can be applied by using mixture distribution\r\nmodels, though this approach can present computational challenges. The logistic transformation\r\ncan be used to bypass these concerns and allow for alternative estimating procedures. One popular\r\nalternative is the generalized estimating equation GEE method, though systematic errors can\r\nlead to infeasible correlation estimates or nonconvergence problems. Our approach is the coupling\r\nof quasileast squares QLSs method with a rarely used matrix factorization, which achieves a\r\nsimplified estimation platformââ?¬â?as compared to the mixture model approachââ?¬â?and does not suffer\r\nfrom the convergence problems in GEE method. A noncontrived example is provided that shows\r\nthe mechanical breakdown of GEE using several statistical software packages and highlights the\r\nusefulness of the QLS approach...
We start by briefly surveying a research on optimal stopping games since their introduction by Dynkin more than 40 years ago.\r\nRecent renewed interest toDynkin�s games is due, in particular, to the study of Israeli (game) options introduced in 2000.We discuss\r\nthe work on these options and related derivative securities for the last decade. Among various results on game options we consider\r\nerror estimates for their discrete approximations, swing game options, game options in markets with transaction costs, and other\r\nquestions....
The three-parameter lognormal distribution is the extension of the two-parameter lognormal distribution to meet the need of the\r\nbiological, sociological, and other fields. Numerous research papers have been published for the parameter estimation problems\r\nfor the lognormal distributions. The inclusion of the location parameter brings in some technical difficulties for the parameter\r\nestimation problems, especially for the interval estimation. This paper proposes a method for constructing exact confidence\r\nintervals and exact upper confidence limits for the location parameter of the three-parameter lognormal distribution. The point\r\nestimation problem is discussed as well. The performance of the point estimator is compared with the maximum likelihood\r\nestimator, which is widely used in practice. Simulation result shows that the proposed method is less biased in estimating the\r\nlocation parameter. The large sample size case is discussed in the paper...
In this article we examine some properties of the solutions of the parabolic Anderson model. In particular we discuss intermittency\r\nof the field of solutions of this random partial differential equation, when it occurs and what the field looks like when intermittency\r\ndoesn�t hold. We also explore the behavior of a polymer model created by a Gibbs measure based on solutions to the parabolic\r\nAnderson equation....
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