Efficiency of the realized variance of an asset is improved by taking advantage of another asset whose return is cross-sectionally correlated with that of the asset and is less sensitive to market microstructure noises permitting higher frequency sampling than the original asset.

Robust panel unit root tests are developed for cross-sectionally dependent multiple time series. The tests have limiting null distributions derived from standard normal distributions. A Monte Carlo experiment shows that the tests have better finite sample robust performance than existing tests....

The representation of the entropy in terms of the hazard function and its extensions have been studied by many authors including Teitler et al. (IEEE Trans Reliab 35:391–395, <CitationRef CitationID="CR16">1986</CitationRef>). In this paper, we consider a representation of the Kullback–Leibler information of the first <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$r$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi>r</mi> </math> </EquationSource> </InlineEquation>...</equationsource></equationsource></inlineequation></citationref>

A hybrid censoring is a mixture of Type I and II censoring. Type I and Type II hybrid censoring models are considered in this work. When n items are placed on a life-test, the experiment terminates under the Type I (Type II) hybrid censoring when either the r-th failure (1=r=n) or the...

In the decomposition of the score function based on all the order statistics, we study the asymptotic behaviour of the maximum conditional likelihood estimator, based on the second term on the right, and suggest an indirect way to study that of the maximum likelihood estimator based on the first...

A hybrid censoring scheme is a mixture of Type-I and Type-II censoring schemes. In this paper, we present two interesting results which are useful in deriving the Fisher information along with the expected censoring times and expected numbers of failures in hybrid and generalized hybrid...