Some Results on Reciprocal Subtangent in the Context of Weighted Models

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, an...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2012-04, Vol.41 (8), p.1397-1410
Main Authors: Sunoj, S. M., Sreejith, T. B.
Format: Article
Language:English
Subjects:
Applications
Characterization
Coordinate subtangent
Distribution theory
Exact sciences and technology
General topics
Mathematics
Probability and statistics
Probability theory and stochastic processes
Reliability measures
Reliability, life testing, quality control
Sciences and techniques of general use
Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications)
Statistics
Studies
Weighted model
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Summary: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.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2010.542858