In this paper, we study some dynamic generalized information measures between a
true distribution and an observed (weighted) distribution, useful in life length studies. Further,
some bounds and inequalities related to these measures are also studied
Sunoj, S M; Maya, S S(Taylor & Francis, August 19, 2006)
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Abstract:
In this article we introduce some structural relationships between weighted and
original variables in the context of maintainability function and reversed repair rate.
Furthermore, we prove some characterization theorems for specific models such as
power, exponential, Pareto II, beta, and Pearson system of distributions using the
relationships between the original and weighted random variables
Description:
Communications in Statistics—Theory and Methods, 35: 223–228, 2006
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