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Statistics cover

 

Originally published in 1986, this book consists of 100 problems in probability and statistics, together with solutions and, most importantly, extensive notes on the solutions. The level of sophistication of the problems is similar to that encountered in many introductory courses in probability and statistics. At this level, straightforward solutions to the problems are of limited value unless they contain informed discussion of the choice of technique used, and possible alternatives. The solutions in the book are therefore elaborated with extensive notes which add value to the solutions themselves. The notes enable the reader to discover relationships between various statistical techniques, and provide the confidence needed to tackle new problems.

Sample Chapter(s)
Probability and Random Variables (2,112 KB)


Contents:
  • Probability and Random Variables:
    • Probability
    • Random Variables
  • Probability Distributions:
    • Discrete Distributions
    • Continuous Distributions
    • Simulating Random Variables
  • Data Summarisation and Goodness-of-Fit:
    • Data Summarisation
    • Goodness-of-Fit
  • Inference:
    • One Sample — Normal Distribution
    • Two Samples — Normal Distribution
    • Binomial and Poisson Distributions
    • Other Problems
  • Analysis of Structured Data:
    • Regression and Correlation
    • Analysis of Variance
    • Contingency Tables
    • Time Series

Readership: Students on introductory courses in probability and statistics, with a background in calculus.