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; Unnikrishnan Nair, N; Sankaran, P G(Elsevier, December 1, 2012)
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Abstract:
Partial moments are extensively used in literature for modeling and analysis of lifetime
data. In this paper, we study properties of partial moments using quantile functions.
The quantile based measure determines the underlying distribution uniquely. We then
characterize certain lifetime quantile function models. The proposed measure provides
alternate definitions for ageing criteria. Finally, we explore the utility of the measure to
compare the characteristics of two lifetime distributions
Description:
Journal of the Korean Statistical Society 42 (2013) 329–342