This is a text (divided into two volumes) for a two semester course in Mathematical Statistics at the Senior/Graduate level. The two main pedagogical aspects in these Volumes are: (i) the material is designed in lessons (each for a 50 minute class) with complementary exercises and home work. (ii) although the material is traditional, great care is exerted upon self-contained, rigorous and complete presentations. An elementary introduction to characteristic functions and probability measures and intergration, but not general measure theory in Volume I, allows a complete proof of some central limit theorems and a rigorous treatment of asymptotic of statistical inference. But students need to be familiar only with such things as Jacobians and eigenvalues of matrices. Volume II: Statistical Inference is designed for the second semester and contains a rigorous introduction to Mathematical Statistics, from random samples to asymptotic theory of statistical inference.
Autorius: | Gerald S. Rogers, Hung T. Nguyen, |
Serija: | Springer Texts in Statistics |
Leidėjas: | Springer US |
Išleidimo metai: | 2011 |
Knygos puslapių skaičius: | 440 |
ISBN-10: | 146138916X |
ISBN-13: | 9781461389163 |
Formatas: | Knyga minkštu viršeliu |
Kalba: | Anglų |
Žanras: | Stochastics |
Parašykite atsiliepimą apie „Fundamentals of Mathematical Statistics: Statistical Inference“