Zipf 's experimental law states that, for a given large piece of text, the product of the relative frequency of a word and its order in descending frequency order is a constant, shown to be equal to 1 divided by the natural logarithm of the number of different words. It is shown to be...

This paper is a case study on two aspects of constructing mixed factorial experiments: (1) three equally sized fractions of a 2p+ 2 design are combined under a three level factor, yielding a 312p+ 2 experiment; (2) two carefully selected factors from a 2p+ 2 design are combined to obtain a 412p...

Becker (1981) presents some theory about related measures of fertility. He SUMMARY compares his theoretical predictions with observed relationships found in a set of data collected in Bangladesh. In general, he finds good agreement. In this paper, we reanalyse the data using Bayesian methods. In...

The athletic performances of men and women are compared based on worldrecord times for various distance events in swimming, running and skating. The ratio of the times of women to those of men against years is modelled through a modified exponential distribution. The rate of improvement is found...

This paper is a review of the use of contextual information in statistical image analysis. After defining what we mean by 'context', we describe the Bayesian approach to high-level image analysis using deformable templates. We describe important aspects of work on character recognition and...

The definition and construction of distributions are explored using parametric forms of the quantile distribution function. Short reviews are given of the identification and construction of such distribution functions, and of methods for estimation and testing.

In this paper, we present tables with critical values for a variety of tests for seasonal and non-seasonal unit roots in seasonal time series. We consider (extensions of) the Hylleberg et al. and Osborn et al. test procedures. These extensions concern time series with increasing seasonal...

Taguchi introduced the concept of split-unit design to sort factors into different groups with respect to difficulties involved in changing the levels of factors. Li et al. have developed all possible group structures for eight factors in an L16 orthogonal array for resolution IV with split-plot...

Two pairs of confidence intervals for a proportion, similar to that of Larson, are compared. It can be shown through computer simulation experiments that, for certain values of p, the confidence interval obtained by the approximation is superior.

In long-term field trials comparing different sequences of crops and husbandry practices, the identification and understanding of trends in productivity over time is an important issue of sustainable crop production. This paper presents a statistical technique for the estimation of time trends...