A new estimator of Kullback–Leibler information and its application in goodness of fit tests*

We propose here a general statistic for the goodness of fit test of statistical distributions. The proposed statistic is constructed based on an estimate of Kullback–Leibler information. The proposed test is consistent and the limiting distribution of the test statistic is derived. Then, the established results are used to introduce goodness of fit tests for the normal, exponential, Laplace and Weibull distributions. A simulation study is carried out for examining the power of the proposed test and to compare it with those of some existing procedures. Finally, some illustrative examples are presented and analysed, and concluding comments are made.     

On approximations via convolution-defined mixture models

An often-cited fact regarding mixing or mixture distributions is that their density functions are able to approximate the density function of any unknown distribution to arbitrary degrees of accuracy, provided that the mixing or mixture distribution is sufficiently complex. This fact is often not made concrete. We investigate and review theorems that provide approximation bounds for mixing distributions. Connections between the approximation bounds of mixing distributions and estimation bounds for the maximum likelihood estimator of finite mixtures of location-scale distributions are reviewed.     

An omnibus two-sample test for ranked-set sampling data

We develop an omnibus two-sample test for ranked-set sampling (RSS) data. The test statistic is the conditional probability of seeing the observed sequence of ranks in the combined sample, given the observed sequences within the separate samples. We compare the test to existing tests under perfect rankings, finding that it can outperform existing tests in terms of power, particularly when the set size is large. The test does not maintain its level under imperfect rankings. However, one can create a permutation version of the test that is comparable in power to the basic test under perfect rankings and also maintains its level under imperfect rankings. Both tests extend naturally to judgment post-stratification, unbalanced RSS, and even RSS with multiple set sizes. Interestingly, the tests have no simple random sampling analog.     

从《夏伯阳》看苏联早期电影对中国电影的影响

《夏伯阳》上映后对中国社会、中国当代文化,尤其是电影史和电影制作的影响,可以以1949年为界,大致划分为两个时期。在后一个时期,《夏伯阳》的影响甚至直接反映在中国国产电影的制作中。而近年来大陆影视的演进发展,多少都表现出试图突破以往艺术创作窠臼的努力,这种中苏文化上的内在与外在关联值得关注和反思。     

Use of Redundant Industrial Buildings as Injections into the Cultural Sector in Norway

Prime aim is to examine the way the culture sector reuses industrial buildings to instigate cultural activities in the municipalities. The discussion of various actors’ motivation for engagement is based on results from a case study, supplemented with findings from a coarse-meshed telephone survey. At national level overarching political guidelines can be traced back to white papers concerning cultural policy, urban transformation and cultural heritage, and the municipalities’ cultural policies mirror these guidelines. What tends to decide if such initiatives are considered successful are local abilities to cross sectorial divisions and instigate cooperation between municipal planners, private entrepreneurs and NGOs.     

New evidence about effects of reproductive variables on child mortality in sub-Saharan Africa

There is still considerable uncertainty about how reproductive factors affect child mortality. This study, based on Demographic and Health Survey data from 28 countries in sub-Saharan Africa, shows that mortality is highest for firstborn children with very young mothers. Other children with young mothers, or of high birth order, also experience high mortality. Net of maternal age and birth order, a short preceding birth interval is associated with above average mortality. These patterns change, however, if time-invariant unobserved mother-level characteristics of importance for both mortality and fertility are controlled for in a multilevel–multiprocess model. Most importantly, there are smaller advantages associated with longer birth intervals and being older at first birth. The implications of alternative reproductive ‘strategies’ are discussed, taking into account that if the mother is older at birth, the child will also be born in a later calendar year, when mortality may be lower.     

Falling into the existential abyss: Ivan Franko’s realist prose in experiments with Gothic and crime fiction modes

This article examines three novels by Ukrainian realist Ivan Franko (1856–1916): Dlia domashn'oho ohnyshcha (For the Home Hearth, 1892), Osnovy suspil'nosti (Pillars of Society, 1894), and Perekhresni stezhky (Fateful Crossroads, 1900). Previous scholars saw elements of crime fiction in these works, but the actual relationship between the two genres of crime fiction and realism has not been fully developed. By studying the conventions of crime fiction, along with its antecedent, the Gothic, and their influence on Franko, the author shows the make-up of the early Ukrainian crime fiction genre and points to its importance in understanding Franko’s vacillation between realist and modernist tendencies. As she argues, the scales of his vacillation are tipped toward modernism in its decadent form, an existential void that characterized fin de siècle Europe. Hence, Franko’s “ideal” or programmatic realism (defined by Franko as a literary style with a didactic tendency aimed at educating society), which he introduced under the appealing cover of crime and Gothic motifs, ultimately failed him. The author proposes that it is the creative modes (Gothic and crime fiction) that Franko chose for voicing his ideas about social reforms that led him, unsuspectingly, away from his programmatic goal and toward the decadent aspects of modernism.     

Approximating the risk score for disease diagnosis using MARS

In disease screening and diagnosis, often multiple markers are measured and combined to improve the accuracy of diagnosis. McIntosh and Pepe [Combining several screening tests: optimality of the risk score, Biometrics 58 (2002), pp. 657–664] showed that the risk score, defined as the probability of disease conditional on multiple markers, is the optimal function for classification based on the Neyman–Pearson lemma. They proposed a two-step procedure to approximate the risk score. However, the resulting receiver operating characteristic (ROC) curve is only defined in a subrange (L, h) of false-positive rates in (0,1) and the determination of the lower limit L needs extra prior information. In practice, most diagnostic tests are not perfect, and it is usually rare that a single marker is uniformly better than the other tests. Using simulation, I show that multivariate adaptive regression spline is a useful tool to approximate the risk score when combining multiple markers, especially when ROC curves from multiple tests cross. The resulting ROC is defined in the whole range of (0,1) and is easy to implement and has intuitive interpretation. The sample code of the application is shown in the appendix.     

Analysis of robust design experiments with time-dependent ordinal response characteristics: a quality improvement study from the horticulture industry

An approach to the analysis of time-dependent ordinal quality score data from robust design experiments is developed and applied to an experiment from commercial horticultural research, using concepts of product robustness and longevity that are familiar to analysts in engineering research. A two-stage analysis is used to develop models describing the effects of a number of experimental treatments on the rate of post-sales product quality decline. The first stage uses a polynomial function on a transformed scale to approximate the quality decline for an individual experimental unit using derived coefficients and the second stage uses a joint mean and dispersion model to investigate the effects of the experimental treatments on these derived coefficients. The approach, developed specifically for an application in horticulture, is exemplified with data from a trial testing ornamental plants that are subjected to a range of treatments during production and home-life. The results of the analysis show how a number of control and noise factors affect the rate of post-production quality decline. Although the model is used to analyse quality data from a trial on ornamental plants, the approach developed is expected to be more generally applicable to a wide range of other complex production systems.     

Emplaced mobilities: Lisbon as a translocality in the migration journeys of Punjabi Sikhs to Europe

The arrival in Portugal of recent migrants from the Indian subcontinent is normally a secondary movement from within Europe tied to the search for a regular pathway into legal integration in the EU. However, as favourable migration policy is not paired with easy economic integration onward migration is common. We argue that such complex migration strategies cannot be amply explored through an origin–destination model; instead we suggest that a translocal perspective provides a framework to examine connections and experiences of emplacement in places of passage/reception like Lisbon. Through a qualitative study of the migration journeys and emplaced practices of Punjabi migrants in Lisbon, our findings highlight relationality between multiple scales, elucidating how agency and structure interact at micro and macro levels in shaping migration experiences and outcomes. We show how the materiality of local community structures ensures the navigation of daily life in the city and provides pathways toward legality contributing to wider mobility regimes. Moreover, we illustrate how onward migration represents an individual strategy to realise different aspects of integration in other EU destinations challenging nation-state-bound understandings of citizenship/settlement and integration.