In this paper, we study the number of near minimum-concomitant observations for Progressively Type-II Censored Order Statistics (PCOS). We first define the concomitants of PCOS and the number of near minimum-concomitant observations. We then investigate distributional and asymptotic properties...

In the present paper, we propose technical generalizations of the Borel–Cantelli lemma. These generalizations can be further used to derive strong limit results for Markov chains. In our work, we obtain some strong limit results.

In this paper we have suggested some improved estimator of parameters of Morgenstern type bivariate logistic distribution (MTBLD) using ranked set sampling. We have shown the superiority of the proposed estimators over Chacko and Thomas (2009) estimators.

Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$(X_{i:n},Y_{[i:n]})$$</EquationSource> </InlineEquation> be the vector of the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$i$$</EquationSource> </InlineEquation>th <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation>-order statistic and its concomitant observed in a random sample of size <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$n$$</EquationSource> </InlineEquation> where the marginal distribution of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$$X$$</EquationSource> </InlineEquation> is absolutely continuous. We describe some general algorithms for simulation of complete and Type II...</equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation></equationsource></inlineequation>