LAUSR

Log-concavity and other concepts of bivariate increasing failure rate distributions

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1 Published in 2022 at "Journal of Applied Probability"

DOI: 10.1017/jpr.2021.54

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… read more here.

Keywords: failure rate; increasing failure; bivariate increasing; log concavity ... See more keywords

PRESERVATION OF LOG-CONCAVITY UNDER CONVOLUTION

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0 Published in 2017 at "Probability in the Engineering and Informational Sciences"

DOI: 10.1017/s0269964817000389

Abstract: Log-concave random variables and their various properties play an increasingly important role in probability, statistics, and other fields. For a distribution F, denote by ????F the set of distributions G such that the convolution of… read more here.

Keywords: preservation log; probability; concavity convolution; log ... See more keywords

Reversal of Rényi Entropy Inequalities Under Log-Concavity

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0 Published in 2021 at "IEEE Transactions on Information Theory"

DOI: 10.1109/tit.2020.3024025

Abstract: We establish a discrete analog of the Rényi entropy comparison due to Bobkov and Madiman. For log-concave variables on the integers, the min entropy is within $\log e$ of the usual Shannon entropy. Additionally we… read more here.

Keywords: log concavity; inequalities log; entropy; entropy inequalities ... See more keywords