RATIONALE there are several well-developed statistical methods for analysing recurrent events. Although there are guidelines for reporting the design and methodology of randomised controlled trials (RCTs), analysis guidelines do not exist to guide the analysis for RCTs with recurrent events. Application of statistical methods that do not account for recurrent events may provide erroneous result...

The probability density functions fitting to the discrete probability functions has always been needed, and very important. This paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. The main key in these fittings is the use of the derivative concept and common differential ...

BACKGROUND Sample size calculations should correspond to the intended method of analysis. Nevertheless, for non-normal distributions, they are often done on the basis of normal approximations, even when the data are to be analysed using generalized linear models (GLMs). METHODS For the case of comparison of two means, we use GLM theory to derive sample size formulae, with particular cases bei...

20.

* We are grateful for helpful comments from Salih Neftci. The comments of an anonymous referee were enormously beneficial. We are grateful for support from the Schweger Fund. Remaining errors are our own.

Let be a complex variable. We associate a polynomial in , denoted M N , to any two molecular species M = M (X) and N = N (X) by means of a binomial-type expansion of the form

We study repeated games with frequent actions and frequent imperfect public signals, where the signals are aggregates of many discrete events, such as sales or tasks. The high-frequency limit of the equilibrium set depends both on the probability law governing the discrete events and on how many events are aggregated into a single signal. When the underlying events have a binomial distribution,...