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Abstract

Exchangeable copulas are used to model an extra-binomial variation in Bernoulli experiments with a variable number of trials. Maximum likelihood inference procedures for the intra-cluster correlation are constructed for several copula families. The selection of a particular model is carried out using the Akaike information criterion (AIC). Profile likelihood confidence intervals for the intra-cluster correlation are constructed and their performance are assessed in a simulation experiment. The sensitivity of the inference to the specification of the copula family is also investigated through simulations. Numerical examples are presented.

semantic material that is out of focus, i.e., the notion that the stative process goes on beyond the profiled interval, possibly indefinitely. Generally, dynamic verbs are described as typically referring to dynamic events changing in time, while statives are said to denote states that are stable through time. This de- scription accords with the treatment of dynamic and stative verbs in Cognitive Grammar, where the feature of “contractibility” (cf. below) is assigned to states as a direct implication of their stable profile. (The change-of-state character of dynamic

(Fig. 12). In the sense of slip resistance, only profil- ing with a clear profile interval of max- mum 40 mm can be considered as effect- ive. In case of geometrically oriented profiling, the least favourable orientation, normally the longitudinal alignment, should be taken into consideration. Geometrical profiling of flooring, the anti-slip effect of which is determined as the R value according to DIN 51 130, develops an additional effect apart from mechanical interlocking with the sole of the shoe: it forms a so-called displace- ment volume in its recesses

beginning and end are by necessity included within the profile determining the verb's semantics. (Typically, these two extremities limiting the temporal contour of a perfective verb also remain fairly contiguous in "real" time.) If the bold section of the timeline in Figure 1 represents the time of speaking, a perfective verb may only select the present tense if its own profile (the bold wavy line) coincides exactly with the profiled interval of the timeline. In real-life situations involving actual occurrences of states of affairs, this rarely happens, since we