If I google for “probability distribution” I find the following extremely bad picture: It’s bad because it conflates ideas and oversimplifies how variable probability distributions can generally be. Most distributions are not unimodal. Most dist...
Posts Tagged ‘ probability distributions ’
Example 8.28: should we buy snowstorm insurance?
It's been a long winter so far in New England, with many a snow storm. In this entry, we consider a simulation to complement the analytic solution for a probability problem concerning snow. Consider a company that buys a policy to insure its revenue ...
R and Tolerance Intervals
Confidence intervals and prediction intervals are used by statisticians on a regular basis. Another useful interval is the tolerance interval that describes the range of values for a distribution with confidence limits calculated to a particular percentile of the distribution. The R package tolerance can be used to create a variety of tolerance intervals of
Example 7.25: compare draws with distribution
In example 7.24, we demonstrated a Metropolis-Hastings algorithm for generating observations from awkward distributions. In such settings it is desirable to assess the quality of draws by comparing them with the target distribution.Recall that the dis...
Example 7.17: The Smith College diploma problem
Smith College is a residential women's liberal arts college in Northampton, MA that is steeped in tradition. One such tradition is to give each student at graduation a diploma at random (or more accurately, in a haphazard fashion). At the end of the ceremony, a diploma circle is formed, and students pass the diplomas that they receive to...
Example 7.7: Tabulate binomial probabilities
Suppose we wanted to assess the probability P(X=x) for a binomial random variate with n = 10 and with p = .81, .84, ..., .99. This could be helpful, for example, in various game settings. In SAS, we find the probability that X=x using differences in t...
Book excerpts now posted
We've posted excerpts from the book on the book website. The excerpts include Chapter 3 (regression and ANOVA) in its entirety. This demonstrates how the entries (the generic descriptions of software functions) and the worked examples reinforce each ...
Zero Inflated Models and Generalized Linear Mixed Models with R.
Zuur, Saveliev, Ieno (2012).
