We first compare the ranked set sampling (RSS) and simple random sampling schemes for the estimation of the population median through Pitman’s measure of closeness. Then, by using Banks’ criterion, we determine the frequency with which an individual order statistic is closer to the median...

<Para ID="Par1">In this paper, we discuss the concomitants of order statistics. We study asymptotic properties of the concomitants of largest order statistics and we pay special attention to strong limit results. The strong limit results of this work are derived by applying the Borel–Cantelli lemma and some...</para>

A test to assess if a sample comes from a multivariate skew-normal distribution is proposed. The test statistic is obtained from the canonical form of the multivariate skew-normal distribution and its null distribution is derived. The power of the proposed test is evaluated through Monte Carlo...

In the two-sample prediction problem, record values from the present sample may be used as predictors of order statistics from a future sample. In this paper, we investigate the nearness of record statistics (upper and lower) to order statistics from a location-scale family of distributions in...

This paper considers computation of mixture weights of the marginal distribution of pooled order statistics that arise from combining and ordering multiple independent Type-II right censored samples. The proposed method is an iterative procedure which is computationally efficient and produces...

Consider k≥1 independent samples, each with a certain number of record values. The resulting pooled sample of records can be re-ordered to develop exact nonparametric inferential procedures. The distribution theory of such ordered multi-sample record values is developed in this paper. The...