Sunoj, S M; Sreejith, T B(Taylor & Francis, March 12, 2012)
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Abstract:
Recently, reciprocal subtangent has been used as a useful tool to describe the
behaviour of a density curve. Motivated by this, in the present article we extend
the concept to the weighted models. Characterization results are proved for models
viz. gamma, Rayleigh, equilibrium, residual lifetime, and proportional hazards. An
identity under weighted distribution is also obtained when the reciprocal subtangent
takes the form of a general class of distributions. Finally, an extension of reciprocal
subtangent for the weighted models in the bivariate and multivariate cases are
introduced and proved some useful results
Description:
Communications in Statistics—Theory and Methods, 41: 1397–1410, 2012