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...

In this work the ranked set sampling technique has been applied to estimate the scale parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\alpha $$</EquationSource> </InlineEquation> of a log-logistic distribution under a situation where the units in a sample can be ordered by judgement method without any error. We have evaluated the Fisher information contained in...</equationsource></inlineequation>

A spacings-based prediction method for future upper record values is proposed as an alternative to maximum likelihood prediction. For an underlying family of distributions with continuous cumulative distribution functions, the general form of the predictor as a function of the estimator of the...

We consider the problem of estimating R=P(XY) where X and Y have independent exponential distributions with parameters θ and λ respectively and a common location parameter μ. Assuming that there is a prior guess or estimate R <Subscript>0</Subscript>, we develop various shrinkage estimators of R that incorporate...</subscript>