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Abstract

Distributional properties of the order statistics, upper and lower records have been utilized to characterize distributions of interest. Further, one sided random dilation and contraction are utilized to obtain the distribution of non-adjacent ordered statistics and also their important deductions are discussed.

Keywords

Lower and upper record statistics Order statistics Random dilation and contraction Characterization of distributions Exponential Weibull Inverse Weibull Pareto Power function and Gumbel distributions

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