Introduction

This introduction presents an overview of the key concepts discussed in the subsequent chapters of this book. The book begins with a brief presentation of different forms of Inverse Gaussian distributions and some basic properties. It also begins with an introduction to order statistics and then presents the necessary formulas for the marginal and joint densities of order statistics and the computational formulas for the means, variances and covariances of order statistics. The book describes the computational procedure used for the determination of the means, variances and covariances of order statistics and explains some of the numerical complications that had to be resolved while doing these computations. It presents the necessary formulas for the best linear unbiased estimators and describes the computational procedure employed for the derivation of these best linear unbiased estimators. The book demonstrates the correlation-type goodness-of-fit test with the help of numerical examples.