This paper discusses efficient simulation methods for stochastic chemical kinetics. Based on the tau-leap and midpoint tau-leap methods of Gillespie [D. T. Gillespie, J. Chem. Phys. 115, 1716 (2001)], binomial random variables are used in these leap methods rather than Poisson random variables. The motivation for this approach is to improve the efficiency of the Poisson leap methods by using la...

Heretofore, automatic checkpointing at procedure-call boundaries [1], to reduce the space complexity of reverse mode, has been provided by systems like Tapenade [2]. However, binomial checkpointing, or treeverse [3], has only been provided in AD systems in special cases, e.g., through user-provided pragmas on DO loops in Tapenade, or as the nested taping mechanism in adol-c for time integration...

The beta-binomial model is widely used for analyzing teratological data involving littermates. Recent developments in statistical analyses of teratological data are briefly reviewed with emphasis on the model. For statistical inference of the parameters in the beta-binomial distribution, separation of the likelihood introduces an likelihood inference. This leads to reducing biases of estimators...

Some recent research has confirmed that the standard Wald (normal) confidence interval approximation for the binomial proportion is inadequate in key respects, especially for extreme values of p . Even for moderately large values of n the coverage probabilities can prove to be erratic for various specific values of p . This fact makes general rules for the use of the Wald method problematic. Al...

We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence level. In particular, we establish the uniform controllability of coverage probability and the asymptotic optimality for such a family of sampling schemes. Our...

This survey of methods surrounding lattice point methods for binomial ideals begins with a leisurely treatment of the geometric combinatorics of binomial primary decomposition. It then proceeds to three independent applications whose motivations come from outside of commutative algebra: hypergeometric systems, combinatorial game theory, and chemical dynamics. The exposition is aimed at students...

�e �rst review existing sequential methods for estimating a binomial proportion. A�erward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and con�dence level. In particular, we establish the uniform controllability of coverage probability and the asymptotic optimality for such a family of sampling schemes. Our th...

In this paper, we propose a binomial tree based parallel load-balancing method (BINOTPLB) to deal with the load imbalance of solution-adaptive finite element application programs on distributed memory multicomputers. The main idea of the BINOTPLB method is first to construct a binomial tree based condensed processor graph. Based on the condensed processor graph, a prefix code tree is built. Fro...

BACKGROUND To estimate relative risks or risk ratios for common binary outcomes, the most popular model-based methods are the robust (also known as modified) Poisson and the log-binomial regression. Of the two methods, it is believed that the log-binomial regression yields more efficient estimators because it is maximum likelihood based, while the robust Poisson model may be less affected by ou...

This paper proposes a probabilistic power flow (PPF) method considering continuous and discrete variables (continuous and discrete power flow, CDPF) for power systems. The proposed method—based on the cumulant method (CM) and multiple deterministic power flow (MDPF) calculations—can deal with continuous variables such as wind power generation (WPG) and loads, and discrete variables such as fuel...