Research on approaches to public funding and development of tertiary education within selected OECD nations

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Dairying in the Waikato Region of New Zealand: An overview of historical statistics

The dairy industry is an important contributor to the economy of the Waikato region of New Zealand. An understanding of the history and development of the dairy sector in the different districts of the Waikato region is important in terms of informing future policy. Unfortunately there are currently no consistent long-run spatially disaggregated data sets available for the districts of the Waikato region that extend any further back than 1990. In this paper, we present the current state of dairy farming data available for the territorial local authorities within the Waikato region, and briefly discuss a set of methods that will be employed to develop consistent long-run spatially disaggregated data series for (i) milk production; (ii) total number of productive dairy cattle; (iii) total number of dairy farms; and (iv) total effective hectares devoted to dairy production

Comment: Struggles with Survey Weighting and Regression Modeling

Comment: Struggles with Survey Weighting and Regression Modeling [arXiv:0710.5005]Comment: Published in at http://dx.doi.org/10.1214/088342307000000177 the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org

Diophantine approximation of Mahler numbers

Suppose that $F(x)\in\mathbb{Z}[[x]]$ is a Mahler function and that $1/b$ is in the radius of convergence of $F(x)$. In this paper, we consider the approximation of $F(1/b)$ by algebraic numbers. In particular, we prove that $F(1/b)$ cannot be a Liouville number. If $F(x)$ is also regular, we show that $F(1/b)$ is either rational or transcendental, and in the latter case that $F(1/b)$ is an $S$-number or a $T$-number.Comment: 52 page