MATHEMATICAL STATISTICS AND ITS APPLICATIONS MARX M. LARSEN R. Księgarnia

Introduction to Mathematical Statistics and Its Applications, An, 3/e

Richard J. Larsen , Vanderbilt University
Morris L. Marx , University of West Florida
Published June 2000 by Engineering/Science/Mathematics

Summary

For courses in Mathematical Statistics.

Renowned for its high-quality, real-world case studies and examples, this highly structured text is designed to allow students with an established mathematics background to pursue a more rigorous, advanced treatment of probability and statistics. It shows HOW to use statistical methods, WHEN to use them, and reinforces the calculus that students have covered in previous courses.

Features

NEW-A chapter on experimental design (Ch. 8)-Placed between coverage of the Normal Distribution and Two-Sample Problems. Delineates how one experimental design differs from another and the statistical consequences of those differences.
- Brings cohesion to the study of the statistical techniques contained in the latter part of the book by classifying data configurations.
NEW-Minitab sections-At the end of chapters.
- Serves as a resource for those instructors who want to assign additional simulations or other computer work to students. The Minitab material provides assistance in those sections where computations are excessive (e.g., regression and the analysis of variance).
NEW-Case studies and examples have been updated and revised.
NEW-Exercise sets considerably expanded-Nearly 50% more in some chapters.
NEW-Cover pages include a chart of densities, moments, and moment generating functions.
NEW-Additional simulations and Monte Carlo studies.
- Enrich student understanding of key statistical phenomena.
NEW-Rearrangement of the material on special distributions, estimation, and hypothesis testing (Chs. 4, 5, and 6)-Ch. 4 now addresses more fully why certain measurements are described by particular density functions, gives more attention to relationships between pdfs (e.g., the Poisson and the exponential), and better separates discrete and continuous variables. Defines the exponential density explicitly (and standardizes its form throughout the text). Section 5.8 on methods of estimating parameters has been moved to the beginning of the chapter to help users who do not intend to do much with the theory of point estimation. Simulations help to motivate the mathematical principles of estimation. Ch. 6 has been completely redone with hypothesis testing introduced in the context of the normal H0: ...m = ...m rather than H0: p = p0. The discreteness of the binomial interferes with the students' ability to understand the decision making process.
- Gives instructors options to move through the text more quickly.
NEW-A complete Solutions Manual in response to user demand.
- Saves time for instructors by providing step-by-step solutions.
Superior treatment of real-world data-Uses case studies and practical worked-out examples to motivate statistical reasoning and demonstrate the application of statistical methods to a wide variety of real-world situations.
Sound, systematic coverage of the theoretical aspects of mathematical statistics-Introduces critically important concepts at different "levels" throughout the text-beginning with an informal introduction and progressing to more detailed discussions as the concept arises in later chapters.
Provides prerequisite mathematical material in an accessible way-Reviews calculus as necessary throughout the presentation.

Table of Contents
1. Introduction.
2. Probability.
3. Random Variables.
4. Special Distributions.
5. Estimation.
6. Hypothesis Testing.
7. The Normal Distribution.
8. Types of Data: A Brief Overview.
9. Two-Sample Problems.
10. Goodness-of-Fit Tests.
11. Regression.
12. The Analysis of Variance.
13. Randomized Block Designs.
14. Nonparametric Statistics.
Appendix: Statistical Tables.
Answer Key.
Bibliography.
Index.

Po otrzymaniu zamówienia poinformujemy,
czy wybrany tytuł polskojęzyczny lub anglojęzyczny jest aktualnie na półce księgarni.