A nonparametric prediction interval can be obtained from the order statistics of a sample Suppose you have taken a sample of size n from a continuous distribution. (a) Show that the interval from X(h) to X(k) provides a 100(k – h)/(n + 1)% prediction interval for the next observation from that distribution.(b) Show that if the endpoints are to be symmetrically chosen within the sample, then k = n – h + 1. (c) Show that the endpoints of a 1- a prediction interval symmetrically chosen within the sample are determined by h = (n + l)a. (d) For a sample of 100, what would be a 90 % prediction interval for the next observation?
A nonparametric prediction interval can be obtained from the order statistics of a sample Suppose…
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