Abstract. Hirsch's h-index is perhaps the most popular citation-based measure of scientific excellence. Many of its natural generalizations can be expressed as simple functions of some discrete Sugeno integrals.
In this talk we shall review some less-known results concerning various stochastic properties of the discrete Sugeno integral with respect to a symmetric normalized capacity, i.e., weighted lattice polynomial functions of real-valued random variables -- both in i.i.d. (independent and identically distributed) and non-i.i.d. (with some dependence structure) cases. For instance, we will be interested in investigating their exact and asymptotic distributions. Based on these, we can, among others, show that the h-index is a consistent estimator of some natural probability distribution's location characteristic. Moreover, we can derive a statistical test to verify whether the difference between two h-indices (say, h'=7 vs. h''=10 in cases where both authors published 40 papers) is actually significant.
What is more, we shall discuss some agent-based models that describe the processes generating citation networks based on, e.g., the preferential attachment (``rich gets richer'') rule. Due to such an approach, we are able to simulate a scientist's activity and then estimate the expected values for the h-index and similar functions based on very simple sample statistics, such as the total number of citations and the total number of publications. Such results can help explain what does the h-index really measure.
Abstract. Choosing between different tournament designs based on their accuracy in ranking teams is an important topic in football since many domestic championships underwent changes in the recent years. In particular, the transformations of Ekstraklasa -- the top-tier football competition in Poland -- is a topic receiving much attention from the organizing body of the competition, participating football clubs as well as supporters. In this presentation we will discuss the problem of measuring the accuracy of different league formats in ranking teams. We will present various models for rating teams that will be next used to simulate a number of tournaments to evaluate their efficacy, for example, by measuring the probability of the best team win. Finally, we will discuss several other aspects of league formats including the influence of the number of points allocated for a win on the final league standings.
Abstract. Since the classic work of de Sola Price the rich-gets-richer rule is well known as the most important mechanism governing the citation network dynamics. (Un-)Fortunatelly it is not sufficient to explain every aspect of bibliometric data. Using the proposed agent-based model for the bibliometric networks we will shed some light on the problem and try to answer the important question stated in the title. Joint work with A. Cena, M. Gagolewski and B. Żogała-Siudem.
Ris on CRAN. The package is one of the most downloaded R extensions and provides a rich set of string processing procedures.
* [WINDOWS SPECIFIC] #270: Strings marked with `latin1` encoding are now converted internally to UTF-8 using the WINDOWS-1252 codec. This fixes problems with - among others - displaying the Euro sign. * [NEW FEATURE] #263: Add support for custom rule-based break iteration, see `?stri_opts_brkiter`. * [NEW FEATURE] #267: `omit_na=TRUE` in `stri_sub<-` now ignores missing values in any of the arguments provided. * [BUGFIX] fixed unPROTECTed variable names and stack imbalances as reported by rchk