Comparisons of smallest order statistics from Pareto distributions with different scale and shape parameters


We derive conditions for stochastic, hazard rate, likelihood ratio, reversed hazard rate, increasing convex and mean residual life orderings of Pareto distributions with different shape and scale parameters. A real data application of the conditions is presented.

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The authors thank the editor and anonymous referees for their helpful comments, which contributed greatly to improve this paper.

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Correspondence to Saralees Nadarajah.

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Nadarajah, S., Jiang, X. & Chu, J. Comparisons of smallest order statistics from Pareto distributions with different scale and shape parameters. Ann Oper Res 254, 191–209 (2017).

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  • Pareto type I distribution
  • Pareto type II distribution
  • Stochastic order