1 Introduction. - 2 Basic properties. - 2. 1 Moments and cumulants. - 3 Related distributions. - 3. 1 Normal approximations. - 3. 2 Powers and logarithms of generalized inverse Gaussian variates. - 3. 3 Products and quotients of generalized inverse Gaussian variates. - 3. 4 A generalized inverse Gaussian Markov process. - 3. 5 The generalized hyperbolic distribution. - 4 Maximum likelihood estimation. - 4. 1 Estimation for fixed ?. - 4. 2 On the asymptotic distribution of the maximum likelihood estimate for fixed ?. - 4. 3 The partially maximized log-likelihood for ? estimation of ?. - 4. 4 Estimation of ? when ? and ? are fixed. - 4. 5 Estimation of ? when ? and ?>0 are fixed. - 5 Inference. - 5. 1 Distribution results. - 5. 2 Inference about ?. - 5. 3 Inference about ?. - 5. 4 One-way analysis of variance. - 5. 5 A regression model. - 6 The hazard function. Lifetime models. - 6. 1 Description of the hazard function. - 7 Examples. - 7. 1 Failures of airconditioning equipment. - 7. 2 Pulses along a nerve fibre. - 7. 3 Traffic data. - 7. 4 Repair time data. - 7. 5 Fracture toughness of MIG welds. - References. - List of symbols. Language: English