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Probability Plotting Methods and Order Statistics

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  • V. Barnett

Abstract

Graphical methods of assessing the validity of a probability model, and of estimating location and scale parameters, have been widely applied over many years. A variety of different prescriptions have been advanced for the “plotting positions” : that is, for the set of values at which the ordered observations in a sample should be plotted. The more formal proposals vary with the form of the probability model and reflect the function of the enquiry: whether it is predominantly one of model validation or parameter estimation. A closer tie‐up of the estimation problem with known properties of order statistics estimators produces an economic recovery of earlier results on probability plotting estimators, some new results in this area, and some general observations on biased order statistics estimators with minimum mean square error.

Suggested Citation

  • V. Barnett, 1975. "Probability Plotting Methods and Order Statistics," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 24(1), pages 95-108, March.
    • Handle: RePEc:bla:jorssc:v:24:y:1975:i:1:p:95-108
    DOI: 10.2307/2346708
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    1. José Antonio Palenzuela & Jorge David Jiménez-Perálvarez & José Chacón & Clemente Irigaray, 2016. "Assessing critical rainfall thresholds for landslide triggering by generating additional information from a reduced database: an approach with examples from the Betic Cordillera (Spain)," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 84(1), pages 185-212, October.
    2. King, Robert P. & Lybecker, Donald W., 1983. "Flexible, Risk-Oriented Marketing Strategies For Pinto Bean Producers," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 8(2), pages 1-10, December.
    3. King, Robert P., 1979. "Operational Techniques for Applied Decision Analysis Under Uncertainty," AAEA Fellows - Dissertations and Theses, Agricultural and Applied Economics Association, number 181951, December.
    4. Rister, M. Edward & Skees, Jerry R., 1982. "The Value Of Outlook Information In Post-Harvest Marketing Strategies," 1982 Annual Meeting, August 1-4, Logan, Utah 279431, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. E.D. Lozano-Aguilera, & Mar�a Dolores Estudillo-Mart�nez & Sonia Castillo-Guti�rrez, 2014. "A proposal for plotting positions in probability plots," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(1), pages 118-126, January.

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