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Abstract Log-concavity of a joint survival function is proposed as a model for bivariate increasing failure rate (BIFR) distributions. Its connections with or distinctness from other notions of BIFR are… Click to show full abstract
Abstract Log-concavity of a joint survival function is proposed as a model for bivariate increasing failure rate (BIFR) distributions. Its connections with or distinctness from other notions of BIFR are discussed. A necessary and sufficient condition for a bivariate survival function to be log-concave (BIFR-LCC) is given that elucidates the impact of dependence between lifetimes on ageing. Illustrative examples are provided to explain BIFR-LCC for both positive and negative dependence.
Keywords:
failure rate;
increasing failure;
bivariate increasing;
log concavity
Journal Title: Journal of Applied Probability
Year Published: 2022
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Journal Title: Journal of Applied Probability
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!