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传染病潜伏期与传染期估计的改进AI 解读

The contagious disease model proposed by Bailey (1956a, b) predicts the frequency distribution of time intervals between the appearance of subsequent cases. Using data from households of two or three susceptibles into which a disease, measles, had been introduced, Bailey used a maximum likelihood procedure to determine various disease parameters, for example, length of the latent and infectious periods. In the original calculations, a desk calculator scoring procedure was…

传染病潜伏期与传染期估计的改进AI 解读

The contagious disease model proposed by Bailey (1956a, b) predicts the frequency distribution of time intervals between the appearance of subsequent cases. Using data from households of two or three susceptibles into which a disease, measles, had been introduced, Bailey used a maximum likelihood procedure to determine various disease parameters, for example, length of the latent and infectious periods. In the original calculations, a desk calculator scoring procedure was…

大人口简单随机流行病模型的扰动近似AI 解读

An asymptotically valid approximation is obtained for the simple stochastic epidemic in a large population of size N, using the following approach. For suitably defined variables, the stochastic process tends to a deterministic limit as N↑∝. The moment-generating function of the deterministic process satisfies an easily soluble partial differential equation and can be represented by an eigenfunction expansion. The solution of the corresponding stochastic equation can…

大总体中简单随机流行病模型的摄动近似AI 解读

An asymptotically valid approximation is obtained for the simple stochastic epidemic in a large population of size N, using the following approach. For suitably defined variables, the stochastic process tends to a deterministic limit as N↑∝. The moment-generating function of the deterministic process satisfies an easily soluble partial differential equation and can be represented by an eigenfunction expansion. The solution of the corresponding stochastic equation can…

摘要暂缺

Generating Functions Recurrent Events Random Walk Models Markov Chains Discrete Branching Processes Markov Processes in Continuous Time Homogeneous Birth and Death Processes Some Non-Homogeneous Processes Multi-Dimensional Processes Queueing Processes Epidemic Processes Competition and Predation Diffusion Processes Approximations to Stochastic Processes Some Non-Markovian Processes.

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简单队列非平衡理论的进一步结果AI 解读

Summary A number of new results are obtained in the non-equilibrium theory of a simple single-server queue with random arrival and departure, involving both the frequency distribution and distribution function of queue length, the derivation of exact and asymptotic expressions for means and variances, and the distribution of the time taken to reach a pre-assigned state.

摘要暂缺