Optimal Model Selection for Truncated Data among Non-Nested Competitive Models

Selecting a model for incomplete data is an important issue. Truncated data is an example of incomplete data, which sometimes occurs due to inherent limitations. The maximum likelihood estimator features and its asymptotic distribution are studied, and a test statistic among non-nested competitive model of incomplete data is presented, which can select an appropriate model close to the true model. This close-to-true model under the null hypothesis of the equivalency of two competitive models against alternative hypothesis is selected

Fuel and Feminism: Oil, Women, and the Urbanization of Nature

The first season of the television series State of Happiness (2018) depicts the advent of the Norwegian petroleum industry between 1969 and 1972. To contextualize the chain of events that preceded and followed the discovery of oil in the North Sea, but also for dramatic purposes, the TV series foregrounds the lives of two young women, which imbues the seriesʼ narrative of growth with feminist tropes. Enquiring into the character arcs of the gendered figures in the seriesʼ historicization of oil, this article problematizes how State of Happiness alludes to the emancipation of Norwegian women to legitimize the urbanization of the North Sea and local farmlands for a contemporary audience in the heyday of energy transitions.publishedVersio

Geodesic planes in a geometrically finite end and the halo of a measured lamination

Recent works [MMO1, arXiv:1802.03853, arXiv:1802.04423, arXiv:2101.08956] have shed light on the topological behavior of geodesic planes in the convex core of a geometrically finite hyperbolic 3-manifolds $M$ of infinite volume. In this paper, we focus on the remaining case of geodesic planes outside the convex core of $M$, giving a complete classification of their closures in $M$. In particular, we show that the behavior is different depending on whether exotic roofs exist or not. Here an exotic roof is a geodesic plane contained in an end $E$ of $M$, which limits on the convex core boundary $\partial E$, but cannot be separated from the core by a support plane of $\partial E$. A necessary condition for the existence of exotic roofs is the existence of exotic rays for the bending lamination. Here an exotic ray is a geodesic ray that has finite intersection number with a measured lamination $\mathcal{L}$ but is not asymptotic to any leaf nor eventually disjoint from $\mathcal{L}$. We establish that exotic rays exist if and only if $\mathcal{L}$ is not a multicurve. The proof is constructive, and the ideas involved are important in the construction of exotic roofs. We also show that the existence of geodesic rays satisfying a stronger condition than being exotic, phrased in terms of only the hyperbolic surface $\partial E$ and the bending lamination, is sufficient for the existence of exotic roofs. As a result, we show that geometrically finite ends with exotic roofs exist in every genus. Moreover, in genus $1$, when the end is homotopic to a punctured torus, a generic one (in the sense of Baire category) contains uncountably many exotic roofs.Comment: 42 pages, 14 figures, 39 pages without appendix and references. Supersedes arXiv:2105.0037

A Creative Playground Design based on Universal Design: An Interaction Approach

Problem solving algorithm of TRIZ using a creative method can provide appropriate solutions due to its abilities in problem analysis. This method is a combination of knowledge and experience. Therefore it has called engineering of creativity. Organizing the required methods for providing the proper solutions in a way that the number of trial and errors limited to 10% is one of the main advantages of TRIZ for problem solving. This research aims to design a playground equipment based on universal design method. Lack of suitable play equipment for interaction between disabled and healthy children make an interruption to communicate each other effectively. Therefore, disabled would be isolated in the society. The overall goal of this research is to provide a base for a proper interaction between ordinary and disabled children designing a playing tool for ordinary parks (not those specially designed for disabled children). In this research, a creative method based on TRIZ was introduced to design the playground equipment for children (healthy and disabled). A questionnaire was used to ensure its consistency. Cronbach’s alpha of questionnaire determined is 0.955 which shows the validity of this research.