Statistical Properties of the Generalized Inverse Gaussian Distribution 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.