Advanced Statistics from an Elementary Point of View

Klappentext The highly readable text captures the flavor of a course in mathematical statistics without imposing too much rigor; students can concentrate on the statistical strategies without getting lost in the theory. Inhaltsverzeichnis 1 Introduction 2 Elementary Descriptive Statistical Techniques 4 Random Variables and Probability Distributions 5 Bivariate Probability Distributions 6 Discrete Parametric Probability Distributions 7 Continuous Parametric Probability Distributions 8 Sampling and the Sampling Distribution of a Statistic 9 The Chi-Square, Student's t, and Snedecor's F Distributions 10 Point Estimation and Properties of Point Estimators 11 Interval Estimation and Confidence Interval Estimates 12 Tests of Parametric Statistical Hypotheses 13 Nonparametric Statistical Techniques 14 Testing Goodness of Fit 15 Testing Goodness of Fit: Contingency Tables 16 Bivariate Linear Regression and Correlation Appendix A Successive Difference to the Variance Solutions to Selected Exercises References and Suggested Reading Index

Zusammenfassung

"I like the fact that this text contains information about descriptive statistics and sampling techniques...I also thought the discussion of limit laws was well-written. This text is a nice blend of applications and theory without focusing on proofs." --Laura McSweeney, Fairfield University

"The main strength of the book is the great length that this author is willing to go in explaining concepts...This text covers quite a breadth of topics. With this text, it would be easy to use some of the sections that I would not cover in class." --Christopher Mecklin, Murray State University

"The topics are comprehensive, there are thorough explanations, a good number of worked out examples, and clearly written proofs...including proofs that are not usually seen at this level. The contents are appealing." --Pierre Grillet, Tulane University

"Panik's goal is to make the book very accessible, and in this goal he succeeds. His exposition is quite clear and I found ti quite easy to follow his many examples." --MAA REVIEWS

Inhalt

1 Introduction
2 Elementary Descriptive Statistical Techniques
4 Random Variables and Probability Distributions
5 Bivariate Probability Distributions
6 Discrete Parametric Probability Distributions
7 Continuous Parametric Probability Distributions
8 Sampling and the Sampling Distribution of a Statistic
9 The Chi-Square, Student's t, and Snedecor's F Distributions
10 Point Estimation and Properties of Point Estimators
11 Interval Estimation and Confidence Interval Estimates
12 Tests of Parametric Statistical Hypotheses
13 Nonparametric Statistical Techniques
14 Testing Goodness of Fit
15 Testing Goodness of Fit: Contingency Tables
16 Bivariate Linear Regression and Correlation
Appendix A
Successive Difference to the Variance
Solutions to Selected Exercises
References and Suggested Reading
Index