Side betting and playing the National Lottery: an exercise in policy design

This paper demonstrates a methodology for estimating the frequencies by which numbers are selected by National Lottery players by utilizing a twofold approach of a Multi-Response Non-Linear Regression model in conjunction with a suggested approximation function for number selections, which leads to an explanation of number choice in terms of the spatial effects of form design. It shows that in a marketplace, side betting is complementary with the main online draw product, and market forces produce close substitutes if side betting on the National Lottery is prohibited.     

What Is Wrong with Criterion FN-Lines for Judging the Tolerability of Risk?

This paper is concerned with the intellectual framework in which judgments are made about the tolerability of so-called societal risk. The current practical approach is based on the position of the FN-curves representing the risks from hazardous systems in relation to criterion FN-lines. The objections to FN-criteria are that they can give unreasonable conclusions and that they are inconsistent. Statistical decision theory suggests an alternative and preferable rule of minimising the expected disutility, that is average harm, from accidents.     

A simple diagnostic method of outlier detection for stationary Gaussian time series

In this paper we present a "model free' method of outlier detection for Gaussian time series by using the autocorrelation structure of the time series. We also present a graphic diagnostic method in order to distinguish an additive outlier (AO) from an innovation outlier (IO). The test statistic for detecting the outlier has a χ ² distribution with one degree of freedom. We show that this method works well when the time series contain either one type of the outliers or both additive and innovation type outliers, and this method has the advantage that no time series model needs to be estimated from the data. Simulation evidence shows that different types of outliers can be graphically distinguished by using the techniques proposed.     

Playing the scales: Regional transformations and the differentiation of rural space in the Chilean wine industry

Globalization and industrial restructuring transform rural places in complex and often contradictory ways. These involve both quantitative changes, increasing the size and scope of operation to achieve economies of scale, and qualitative shifts, sometimes leading to a shift up the quality/price scale, towards finer spatial resolution and identification with place of origin. This paper examines the transformation of the Chilean wine industry noting its expansion and orientation towards export production. As the industry has changed, it has become apparent that firms have adopted different scalar strategies, sometimes downscaling by seeking low-cost production, homogenisation of product and a weak identification with place, and sometimes upscaling by improving quality, claiming exclusiveness and fixing products to ever finer definitions of place. Places have been defined, reconstructed, promoted and significantly differentiated as a result.     

Sample moments of the autocorrelations of moving average processes and a modification to bartlett'sasymptotic variance formula

In this paper we express the sample autocorrelations for a moving average process of order q as a function of its own theoretical autocorrelations and the sample autocorrelations for the generating white noise series. Approximate analytic expressions are then obtained forthe moments of the sample autocorrelations of the moving average process.

Using these expressions, together with numerical evidence, we show that Bartlett's asymptotic formula for the variance of the sample autocorrelations of moving average processes, which is used widely in identifying these processes, is a large overestimate when considering finitesample sizes.

Our approach is for motivational purposes and so is purely formal, the amount of mathematics presented being kept to a minimum.