Linear Estimation of Location and Scale Parameters Using Partial Maxima

Consider an i.i.d. sample X^*_1,X^*_2,...,X^*_n from a location-scale family, and assume that the only available observations consist of the partial maxima (or minima)sequence, X^*_{1:1},X^*_{2:2},...,X^*_{n:n}, where X^*_{j:j}=max{X^*_1,...,X^*_j}. This kind of truncation appears in several circumstances, including best performances in athletics events. In the case of partial maxima, the form of the BLUEs (best linear unbiased estimators) is quite similar to the form of the well-known Lloyd's (1952, Least-squares estimation of location and scale parameters using order statistics, Biometrika, vol. 39, pp. 88-95) BLUEs, based on (the sufficient sample of) order statistics, but, in contrast to the classical case, their consistency is no longer obvious. The present paper is mainly concerned with the scale parameter, showing that the variance of the partial maxima BLUE is at most of order O(1/log n), for a wide class of distributions.Comment: This article is devoted to the memory of my six-years-old, little daughter, Dionyssia, who leaved us on August 25, 2010, at Cephalonia isl. (26 pages, to appear in Metrika

The Continuous Sample of Working Lives: improving its representativeness

This paper studies the representativeness of the Continuous Sample of Working Lives (CSWL), a set of anonymized microdata containing information on individuals from Spanish Social Security records. We examine several CSWL waves (2005-2013) and show that it is not representative for the population with a pension income. We then develop a methodology to draw a large dataset from the CSWL that is much more representative of the retired population in terms of pension type, gender and age. This procedure also makes it possible for users to choose between goodness of fit and subsample size. In order to illustrate the practical significance of our methodology, the paper also contains an application in which we generate a large subsample distribution from the 2010 CSWL. The results are striking: with a very small reduction in the size of the original CSWL, we significantly reduce errors in estimating pension expenditure for 2010, with a p value greater or equal to 0.999

The Profitability of Wagering on NFL Games

A reappraisal of previously suggested strategies for betting on football games using results of the period 1975--1981 casts considerable doubt on the profitability of relying on the past history of games for guidance in placing bets.games/group decisions: gambling, statistics

Art Video Games

This study conducted analytical and semiexperimental research with the purpose of testing if art video games serve as a form of transmission of social representations and feelings. Accordingly, a free-association questionnaire was used after participants played the game The Graveyard. The associative method was paired with item hierarchization and clustering techniques using a structural approach. The data were analyzed using mixed methods (frequency analysis, semantic weight, and categorical clustering). Additionally, a cluster analysis was conducted to determine connections between representations. Afterward, categories were compared with the representations the game designers wanted to transmit to the players. The results of the research confirmed the possibility of accessing people’s social representations using a video game as stimulus. Cluster analyses depicted that these representations were emotionally linked and socially shared among the players without regard to age or gender. The relation with the designers’ representations about the game was found to be not significant