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Estimating Distribution Parameters and Quantiles

  • Steven P. Millard

Abstract

In Chapter 2 we discussed the ideas of a population and a sample. Chapter 4 described probability distributions, which are used to model populations. Based on using the graphical tools discussed in Chapter 3 to look at your data, and based on your knowledge of the mechanism producing the data, you can model the data from your sampling program as having come from a particular kind of probability distribution. Once you decide on what probability distribution to use (if any), you usually need to estimate the parameters associated with that distribution. For example, you may need to compare the mean or 95th percentile of the concentration of a chemical in soil, groundwater, surface water, or air with some fixed standard. This chapter discusses the menu items and functions available in EnvironmentalStats for S-Plus for estimating distribution parameters and quantiles for various probability distributions (as well as constructing confidence intervals for these quantities). See Chapter 5 of Millard and Neerchal (2001) for a more in-depth discussion of this topic.

Keywords

Confidence Limit Data Frame Estimate Quantile Menu Item Lower Confidence Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Steven P. Millard 2002

Authors and Affiliations

  • Steven P. Millard
    • 1
  1. 1.Probability, Statistics, and InformationSeattleUSA

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