David W. Scott - Statistics

4 Chapter 4Figure 4.1 Joint bivariate PMF. Each arrow displays a probability of .Figure 4.2 Conditional PDF, , before normalization.Figure 4.3 Transformations of a r.v.; see text.Figure 4.4 Sample transformations: and . The range and domain of this tra...Figure 4.5 Standard Cauchy and normal PDFs.Figure 4.6 Generic PIT diagram. The red strip represents the event while t...

5 Chapter 5Figure 5.1 Example of a convex function with two red tangent line segments...

6 Chapter 6Figure 6.1 Nine examples of possible normal fits to a random sample of 50 po...Figure 6.2 From left to right: a histogram of the 41 data points; the Beta ...

7 Chapter 7Figure 7.1 (Left) For two roof construction techniques, hypothetical PDFs ...Figure 7.2 Critical regions based upon for testing two shifted normal PDFs...Figure 7.3 (Left) The log‐likelihood ratio for a sample of negative expone...Figure 7.4 Alternative 95% confidence level tests for our example. (Left) ...Figure 7.5 (Left) Topo map; (right) earthquake epicenters.Figure 7.6 Histograms of times between eruptions (in days) for all 247 erupt...Figure 7.7 Fits to Lord Rayleigh's data under the null and alternative hypot...Figure 7.8 (Left) Power function with . The critical region is shown in gra...Figure 7.9 Draft lottery numbers 1–366 by month. The monthly average is the ...

8 Chapter 8Figure 8.1 (Left frames) A simulation study showing 100 95% confidence inter...Figure 8.2 (Left) Examples of the PDF for . (Right) Examples of the PDF...Figure 8.3 Critical values for as the sample size increases.Figure 8.4 Ten thousand simulations of the ‐statistic (8.46) with , , and...

9 Chapter 9Figure 9.1 For a frequency histogram, the notation used to denote the locati...Figure 9.2 For several sample sizes and the density, the histogram curve...Figure 9.3 Comparison of the number of bins recommended by the Sturges ( ), ...Figure 9.4 Three histograms of a Beta sample with .Figure 9.5 (Left) Optimal stopping point as a function of the population s...Figure 9.6 Simulation and bootstrap analysis of the sample mean and sample m...Figure 9.7 Surface of predicted average mold strength as a function of the t...Figure 9.8 (Left) Poisson and (right) logistic regression models fitted by t...Figure 9.9 (a) points satisfying with one outlier at ; (b) with 40 ra...Figure 9.10 (a) MLE and (b) normal fits to a random sample of 400 points...

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2 Table of Contents

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