Modelling lifetimes with bivariate Schur-constant equilibrium distributions from renewal theory

N. Nair () and P. Sankaran ()

METRON, 2014, vol. 72, issue 3, 349 pages

Abstract: In the present work we study the asymptotic distribution of the age and residual life in a renewal process. The bivariate distribution so derived is Schur-constant with marginal distributions as equilibrium discuss the reliability properties and the copula. The bivariate ageing properties and some stochastic orders connecting them are explored. It is shown that various time dependent measures of association and dependence concepts can be inferred from the ageing properties of the baseline distribution. Copyright Sapienza Università di Roma 2014

Keywords: Bivariate equilibrium distribution; Schur-constancy; Archimedean copula; Bivariate ageing; Dependence concepts (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s40300-014-0045-0

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