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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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). https://doi.org/10.1007/s10479-017-2444-0
- Pareto type I distribution
- Pareto type II distribution
- Stochastic order