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This work is concerned with asymptotic properties of the bivariate survival function estimator using the functional relationship between marginal survival functions and a class of copulas for the dependence structure. Specifically, we study consistency and weak convergence of the bivariate...
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For random elements X and Y (e.g. vectors) a complete characterization of their association is given in terms of an … fittings). Restricting only the odds ratio function but not the marginals leads to semi-parmetric association models for which … statistical inference is available for samples drawn conditionally on either X or Y. Log-bilinear association models for random …
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Suppose that a system has three states up, partial performance and down. We assume that for a random time <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$T_1$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msub> <mi>T</mi> <mn>1</mn> </msub> </math> </EquationSource> </InlineEquation> the system is in state up, then it moves to state partial performance for time <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$T_2$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msub> <mi>T</mi> <mn>2</mn> </msub> </math> </EquationSource> </InlineEquation> and then the system fails and goes to state down. We also denote the...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>
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