Theoretical Statistics and Mathematics Unit, ISI Delhi

An asymmetric kernel estimator of density function for stationary associated sequences

by Yogendra P. Chaubey and Isha Dewan

Consider a sequence of stationary non-negative associated random variables with common marginal density $f(x).$
Here we use the empirical survival function as studied in Bagai and Prakasa Rao (1991) and apply the
smoothing technique proposed by Chaubey {\it et al.} (2007). The resulting smooth estimators of the density function $f$ and that of the corresponding distribution function are shown to inherit the asymptotic properties similar to those obtained in Bagai and Prakasa Rao (1995) for the kernel-type density estimators.

isid/ms/2009/10 [fulltext]

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