1.

Record Nr.

UNINA9910784641203321

Autore

Deep Ronald

Titolo

Probability and statistics with integrated software routines [[electronic resource] /] / Ronald Deep

Pubbl/distr/stampa

Burlington, MA, : Academic Press, c2006

ISBN

1-281-05054-7

9786611050542

0-08-048038-1

Descrizione fisica

1 online resource (707 p.)

Disciplina

519.2

Soggetti

Probabilities - Computer simulation

Mathematical statistics - Computer simulation

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p.679-680) and index.

Nota di contenuto

Front Cover; Probability and Statistics; Copyright Page; Table of Contents; Preface; Acknowledgments; Chapter 1. Introduction to Probability; 1.0 Introduction; 1.1 Interpretations of Probability; 1.2 Sets; 1.3 Probability Parlance; 1.4 Probability Theorems; 1.5 Conditional Probability and Independence; 1.6 Bayes's Rule; 1.7 Counting the Ways; 1.8 Summary; Chapter 2. Random Variables, Moments, and Distributions; 2.0 Introduction; 2.1 Random Variables; 2.2 Distributions; 2.3 Moments; 2.4 Standardized Random Variables; 2.5 Jointly Distributed Random Variables

2.6 Independence of Jointly Distributed Random Variables2.7 Covariance and Correlation; 2.8 Conditional Densities Functions; 2.9 Moment Generating Functions; 2.10 Transformation of Variables; 2.11 Summary; Chapter 3. Special Discrete Distributions; 3.0 Introduction; 3.1 Discrete Uniform; 3.2 Bernoulli Distribution; 3.3 Binomial Distribution; 3.4 Multinomial Distribution; 3.5 Hypergeometric Distribution; 3.6 Geometric Distribution; 3.7 Negative Binomial Distribution; 3.8 Poisson Distribution; 3.9 Summary; Chapter 4. Special Continuous Distributions; 4.0 Introduction

4.1 Continuous Uniform Distribution4.2 Gamma Function; 4.3 Gamma Family (Exponential, Chi-Square, Gamma); 4.4 Exponential Distribution; 4.5 Chi-Square Distribution; 4.6 Normal Distribution; 4.7 Student t



Distribution; 4.8 Beta Distribution; 4.9 Weibull Distribution; 4.10 F Distribution; 4.11 Summary; Chapter 5. Sampling, Data Displays, Measures of Central Tendencies, Measures of Dispersion, and Simulation; 5.0 Introduction; 5.1 Data Displays; 5.2 Measures of Location; 5.3 Measures of Dispersion; 5.4 Joint Distribution of X-and S2; 5.5 Simulation of Random Variables

5.6 Using Monte Carlo for Integration5.7 Order Statistics; 5.8 Summary; Chapter 6. Point and Interval Estimation; 6.0 Introduction; 6.1 Unbiased Estimators and Point Estimates; 6.2 Methods of Finding Point Estimates; 6.3 Interval Estimates (Confidence Intervals); 6.4 Prediction Intervals; 6.5 Central Limit Theorem (Revisited); 6.6 Parametric Bootstrap Estimation; 6.7 Summary; Chapter 7. Hypothesis Testing; 7.0 Introduction; 7.1 Terminology in Statistical Tests of Hypotheses; 7.2 Hypothesis Tests: Means; 7.3 Hypothesis Tests: Proportions

7.4 Hypothesis Tests for Difference between Two Means: Small Samples (n < 30) a2 Known7.5 Hypothesis Test with Paired Samples; 7.6 Hypothesis Tests: Variances; 7.7 Hypothesis Tests for Independence, Homogeneity, and Goodness of Fit; 7.8 Summary; Chapter 8. Regression; 8.0 Introduction; 8.1 Review of Joint and Conditional Densities; 8.2 Simple Linear Regression; 8.3 Distribution of Estimators with Inference on Parameters; 8.4 Variation; 8.5 Residual Analysis; 8.6 Convertible Nonlinear Forms for Linear Regression; 8.7 Polynomial Regression; 8.8 Multiple Linear Regression

8.9 Multiple Regression Techniques

Sommario/riassunto

Probability & Statistics with Integrated Software Routines is a calculus-based treatment of probability concurrent with and integrated with statistics through interactive, tailored software applications designed to enhance the phenomena of probability and statistics. The software programs make the book unique.The book comes with a CD containing the interactive software leading to the Statistical Genie. The student can issue commands repeatedly while making parameter changes to observe the effects. Computer programming is an excellent skill for problem solvers, involving design,