Sub additive measures of relative information and inaccuracy

Summary In the study of information theoretic measures, additivity has been the basic requirement. However it is quite interesting to investigate the sub-additive measures. Starting from subadditivity for measures associated with a pair of distributions of a discrete random variable, it has been changed into an equality relation using another function of a pair of distributions., Under the sum property of the function and the measures, the relation is expressed in terms of a functional equation of which the most general complex solutions have been obtained. In terms of the real continuous solutions of the functional equation, the sub-additive measures of Relative information and Inaccuracy have been defined and characterized. Particular cases and simple properties particularly the convexities of some of these new measures have also been studied.     

Relationship between generalizedh-Statistics and polykays

Summary In this paper, relationships between generalizedh-statistics which estimate powers and products of central moments unbiasedly and the polykays by using ordered partitions are established. A table expressing generalizedh-statistics of weight 12 in terms of polykays and vice versa is presented. Expressions of weight less than 12 are obtained from this table.

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Zusammenfassung In der vorliegenden Arbeit wird mittels geordneter Zerlegungen eine Beziehung zwischen verallgemeinerterh-Statistik, welche Potenzen und Produkte von zentralen Momenten erwartungstreu abschätzt, und polykays hergestellt. Eime Tabele mit verallgemeinerterh-Statistik vom Gewicht 12 in polykay-Termen, und umgekehrt, wird gegeben. Gewichtsausdrücke kleiner als 12 werden aus dieser Tabelle gewonnen.

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This research has been supported by a grant from FINEP/Ministério do Planejamento e Coordenacão Geral to the IMUFRJ.     

The historical roots of India’s service-led development: A sectoral analysis of Anglo-Indian productivity differences, 1870-2000

India fell further behind the UK in terms of GDP per capita and overall labour productivity between the 1870s and the 1970s, but has been catching-up since. This paper offers a sectoral analysis of these trends. Comparative India/UK labour productivity in agriculture has declined continuously, and agriculture still accounts for around two-thirds of employment in India. Agriculture thus played a key role in India’s falling behind and has subsequently slowed down the process of catching up. Although there have been substantial fluctuations in comparative India/UK labour productivity in industry, this sector has exhibited no long run trend. The only sector to exhibit an upward trend in comparative India/UK labour productivity is services. India’s recent emergence as a dynamic service-led economy thus appears to have long historical roots. Although India has been characterised by relatively low levels of physical and human capital formation overall, its education provision has historically been unusually skewed towards secondary and tertiary levels. This has provided a limited supply of high productivity workers who have been employed predominantly in services.     

Supply-side investments: An international analysis of the return and risk relationship in the Travel & Leisure sector

This study investigates supply-side investments in the tourism sector, analysing the return and risk relationship of investments in tourism across several countries. The performance of tourism sector companies listed on the stock exchange, for the top one dozen countries according to the World Economic Forum (WEF) tourism rankings, is investigated by region, across these countries and within each country by comparison to other sectors. Several metrics are used to compare the risk-adjusted returns, over a 15-year period ending March 2007 and sub-periods to check the persistence of performance over time. The results present a strikingly different ranking than those of the WEF. The implications for the flow of investment funds are of importance in a global capital market. Money will flow to those investments with the highest expected returns for a given risk level and this has consequential impacts for economic growth and employment in the tourism sector.     

Let the evidence speak again! Financial incentives are more effective than we thought

In this essay, the authors rejoin the debate about financial incentive effectiveness. They (a) briefly review the state of the literature in 1998, (b) highlight new meta‐analytic findings and update conclusions regarding the financial incentives–performance relationship, (c) address the myth that financial incentives erode intrinsic motivation, (d) provide explanations for the presumed failure of financial incentives and (e) offer some concluding thoughts and suggestions for future research.     

Some general results for moments in bivariate distributions

The purpose of this paper is to present a closed formula to compute the moments of a general function from the knowledge of its bivariate survival function. The result is derived by utilizing an integration by parts formula for two variables, which is not readily available in the literature. Many of the existing results are obtained as special cases. Finally, two examples are presented to illustrate the results. In both the examples, mixed moments as well as moments for the series system and parallel system are obtained. The integration by parts formula in two variables, derived here, is of interest in its own right and we hope that it will be useful in other investigations. The integration by parts formula in two variables is derived as a special case of a general formula in n variables.