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Fundamentals of Mathematical Statistics : Statistical Inference, Paperback / softback Book

Fundamentals of Mathematical Statistics : Statistical Inference Paperback / softback

Part of the Springer Texts in Statistics series

Paperback / softback

Description

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.

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