Statistics: Problems And Solution (Second Edition) Problems and Solutions

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. 1. Probability and random variables. 1A. Probability. 1B. Random variables -- 2. Probability distributions. 2A. Discrete distribution. 2B. Continuous distributions. 2C. Simulating random variables -- 3. Data summarisation and goodness-of-fit. 3A. Data summarisation. 3B. Goodness-of-fit -- 4. Inference. 4A. One sample: normal distribution. 4B. Two samples: normal distribution. 4C. Binomial and Poisson distributions. 4D. Other problems -- 5. Analysis of structured data. 5A. Regression and correlation. 5B. Analysis of variance. 5C. Contingency tables. 5D. Time series The theory of probability has, as its central feature, the concept of a repeatable random experiment; that is, an experiment the outcome of which is uncertain.