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利用粒子滤波进行隐马尔可夫模型的在线推断AI 解读

Summary We consider the on-line Bayesian analysis of data by using a hidden Markov model, where inference is tractable conditional on the history of the state of the hidden component. A new particle filter algorithm is introduced and shown to produce promising results when analysing data of this type. The algorithm is similar to the mixture Kalman filter but uses a different resampling algorithm. We prove that this resampling algorithm is computationally efficient and…

序贯 Monte Carlo p 值AI 解读

SUMMARY The assessment of statistical significance by Monte Carlo simulation may be costly in computer time. This paper looks at a number of ways of calculating exact Monte Carlo p-values by sequential sampling. Such p-values are shown to have properties similar to those obtained by sampling with a fixed sample size. Both standard and generalized Monte Carlo procedures are discussed and, in particular, a sequential method is proposed for dealing with situations in which…

液体化学动力学的统计模型AI 解读

SUMMARY Statistical methods are used increasingly in theoretical chemistry. Applications range from the use of stochastic relaxation techniques in determining minimum energy molecular configurations to dynamical Monte Carlo simulations of molecular motion in liquids. This paper focuses on diffusion-controlled reactions in radiation chemistry. Here the interest is in describing the evolution of isolated clusters, containing a few chemically active particles, resulting from…

空间过程统计分析中界的运用AI 解读

Explicit solutions for the equilibrium distributions of competitive spatial processes in which the rate of invasion is directly proportional to the number of neighbours of a certain type exist only in special cases. Nevertheless these models may be more realistic than those required to produce Markov random fields. As an alternative to Monte Carlo simulation we use local balance equations to find bounds for important properties of the limiting configuration such as the…

含分期处死设计的生存实验中疾病依赖性的检验AI 解读

An age-dependent compartment model is applied in a novel way to survival data. Analysis is performed of data from an “improved survival experiment” which incorporates serial sacrifice, and tests of hypotheses of dependent diseases are obtained. Problems dealing with identifiability of models are emphasized and discussed. Finally, these ideas are illustrated in connection with experimental data from mice exposed to radiation.

分批处死生存实验中的疾病依赖性检验AI 解读

An age-dependent compartment model is applied in a novel way to survival data. Analysis is performed of data from an “improved survival experiment” which incorporates serial sacrifice, and tests of hypotheses of dependent diseases are obtained. Problems dealing with identifiability of models are emphasized and discussed. Finally, these ideas are illustrated in connection with experimental data from mice exposed to radiation.

空间过程统计分析中的界限方法AI 解读

Explicit solutions for the equilibrium distributions of competitive spatial processes in which the rate of invasion is directly proportional to the number of neighbours of a certain type exist only in special cases. Nevertheless these models may be more realistic than those required to produce Markov random fields. As an alternative to Monte Carlo simulation we use local balance equations to find bounds for important properties of the limiting configuration such as the…

空间冲突的随机模型AI 解读

SUMMARY Two species compete for territory along their mutual boundary. The species are fairly matched and the result of conflict is the invasion by one of the species of territory held by the other. A simple stochastic model for this process is described and rules are given for the calculation, as a function of time, of the probabilities that individual territories and groups of territories are held by a single species. Asymptotic results are given for the pattern of…