Sunoj, S M; Sankaran, P G(Elsevier, March 3, 2012)
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Abstract:
Quantile functions are efficient and equivalent alternatives to distribution functions
in modeling and analysis of statistical data (see Gilchrist, 2000; Nair and Sankaran,
2009). Motivated by this, in the present paper, we introduce a quantile based Shannon
entropy function. We also introduce residual entropy function in the quantile setup and
study its properties. Unlike the residual entropy function due to Ebrahimi (1996), the
residual quantile entropy function determines the quantile density function uniquely
through a simple relationship. The measure is used to define two nonparametric classes
of distributions
Description:
Statistics and Probability Letters 82 (2012) 1049–1053
Sunoj, S M; Asok, Nanda K; Sankaran, P G(Elsevier, October 4, 2012)
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Abstract:
Di Crescenzo and Longobardi (2002) introduced a measure of uncertainty in past lifetime
distributions and studied its relationship with residual entropy function. In the present
paper, we introduce a quantile version of the entropy function in past lifetime and study
its properties. Unlike the measure of uncertainty given in Di Crescenzo and Longobardi
(2002) the proposed measure uniquely determines the underlying probability distribution.
The measure is used to study two nonparametric classes of distributions. We prove
characterizations theorems for some well known quantile lifetime distributions
Description:
Statistics and Probability Letters 83 (2013) 366–372
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
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