Saddlepoint Approximations (Oxford Statistical Science Series, 16)

During the last 15 years, there has been a systematic development of saddlepoint approximations. They give a highly accurate expression for the tail of a distribution, not only in the center but also for very small tail probabilities. Saddlepoint Approximations provides a complete account of this systematic development, giving worked out examples and comprehensive mathematical techniques for further research in the field. It will be most useful to researchers, students in statistics, and consulting statisticians.