Applied Asymptotics: Case Studies in Small-Sample Statistics

$40.00

In fields such as biology, medical sciences, sociology, and economics researchers often face the situation where the number of available observations, or the amount of available information, is sufficiently small that approximations based on the normal distribution may be unreliable. Theoretical work over the last quarter-century has led to new likelihood-based methods that lead to very accurate approximations in finite samples, but this work has had limited impact on statistical practice. This book illustrates by means of realistic examples and case studies how to use the new theory, and investigates how and when it makes a difference to the resulting inference. The treatment is oriented towards practice and comes with code in the R language (available from the web) which enables the methods to be applied in a range of situations of interest to practitioners. The analysis includes some comparisons of higher order likelihood inference with bootstrap or Bayesian methods. Additional ISBNs 0521847036, 0511282826, 9780521847032, 9780511282829Applied Asymptotics: Case Studies in Small-Sample Statistics 1st Edition is written by A. R. Brazzale; A. C. Davison; N. Reid and published by Cambridge University Press. ISBNs for Applied Asymptotics are 9780511282829, 0511282826 and the print ISBNs are 9780521847032, 0521847036. Additional ISBNs include 0521847036, 0511282826, 9780521847032, 9780511282829.

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Theoretical work over the last quarter-century has led to new likelihood-based methods that lead to very accurate approximations in finite samples, but this work has had limited impact on statistical practice. This book illustrates by means of realistic examples and case studies how to use the new theory, and investigates how and when it makes a difference to the resulting inference. The treatment is oriented towards practice and comes with code in the R language (available from the web) which enables the methods to be applied in a range of situations of interest to practitioners. The analysis includes some comparisons of higher order likelihood inference with bootstrap or Bayesian methods. Additional ISBNs 0521847036, 0511282826, 9780521847032, 9780511282829Applied Asymptotics: Case Studies in Small-Sample Statistics 1st Edition is written by A. R. Brazzale; A. C. Davison; N. Reid and published by Cambridge University Press. ISBNs for Applied Asymptotics are 9780511282829, 0511282826 and the print ISBNs are 9780521847032, 0521847036. Additional ISBNs include 0521847036, 0511282826, 9780521847032, 9780511282829.