Characterizations of some bivariate models using reciprocal coordinate subtangents

S. M. Sunoj (), Sreejith Thoppil Bhargavan () and Jorge Navarro ()
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S. M. Sunoj: Cochin University of Science and Technology - India
Sreejith Thoppil Bhargavan: Cochin University of Science and Technology - India
Jorge Navarro: University of Murcia - Spain

Statistica, 2014, vol. 74, issue 2, 155-172

Abstract: In the present paper, we consider the bivariate version of reciprocal coordinate subtangent (RCST) and study its usefulness in characterizing some important bivariate models. In particular, characterization results are proved for a general bivariate model whose conditional distributions are proportional hazard rate models (see Navarro and Sarabia, 2011), Sarmanov family and Ali-Mikhail-Haq family of bivariate distributions. We also study the relationship between local dependence function and reciprocal subtangent and a characterization result is proved for a bivariate model proposed by Jones (1998). Further, the concept of reciprocal coordinate subtangent is extended to conditionally specified models.

Keywords: Reciprocal coordinate subtangent; Reliability measures; Characterizations; Conditionally specified models (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:74:y:2014:i:2:p:155-172

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