Sunoj, S M; Asok, Nanda K; Sankaran, P G(Elsevier, December 4, 2013)
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Abstract:
In the present paper, we introduce a quantile based Rényi’s entropy function and its residual
version. We study certain properties and applications of the measure. Unlike the residual
Rényi’s entropy function, the quantile version uniquely determines the distribution
Description:
Statistics and Probability Letters 85 (2014) 114–121
Lower partial moments plays an important role in the analysis of risks and
in income/poverty studies. In the present paper, we further investigate its importance
in stochastic modeling and prove some characterization theorems arising out of it. We
also identify its relationships with other important applied models such as weighted
and equilibrium models. Finally, some applications of lower partial moments in
poverty studies are also examined
Description:
METRON - International Journal of Statistics
2008, vol. LXVI, n. 2, pp. 223-242
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