Probability and Statistics

This book is designed for engineering students studying for the core paper on probability and statistics. The topics have been dealt in a coherent manner, supported by illustrations for better compre¬hension. Each chapter is replete with examples and exercises. The book also has numerous Multiple Ch...

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Detalles Bibliográficos
Autor principal:	Reddy, E. Keshava (-)
Autor Corporativo:	E. Keshava Reddy (-)
Formato:	Libro electrónico
Idioma:	Inglés
Publicado:	Noida : Pearson India 2015.
Edición:	1st ed
Colección:	Always learning.
Materias:	Mathematical statistics > Textbooks. Probabilities > Textbooks.
Ver en Biblioteca Universitat Ramon Llull:	https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009820526506719

Tabla de Contenidos:

Probability and Stastics
Roadmap to the Syllabus
Contents
List of Symbols
Chapter 1 Probability
1.1 Introduction
1.2 Sets and Set Operations
1.3 Principle of Counting
1.4 Permutations and Combinations
1.5 Binomial Expansion
1.6 Introduction to Probability
1.7 Axioms of Probability
1.8 Basic Theorems
1.9 Conditional Probability and Independent Events
1.10 Theorem of Total Probability (or the Rule of Elimination)
1.11 Bayes' Theorem or Rule
Exercises
Multiple Choice Questions
Fill in the Blanks
Chapter 2 Probability Distribution
2.1 Introduction
2.2 Random Variables
2.3 Probability Distribution
2.4 Expectation or Mean or Expected Value
2.5 Variance and Standard Deviation
2.6 Probability Density Functions
2.7 Chebyshev's Theorem
Exercises
Fill in the Blanks
Chapter 3 Special Distribution
3.1 Introduction
3.2 Binomial (Bernoulli) Distribution
3.3 Poisson Distribution
3.4 Uniform Distribution
3.5 Exponential Distribution
3.6 Normal Distribution
Exercises
Multiple Choice Questions
Fill in the Blanks
Chapter 4 Sampling Distributions
4.1 Introduction
4.2 Population and Sample
4.3 Sampling Distribution
4.4 Sampling Distribution of Means (σ Known)
4.5 Sampling Distribution of Proportions
4.6 Sampling Distribution of Differences and Sums
4.7 Sampling Distribution of Means (σ Unknown): t-Distribution
4.8 Chi-square (χ2) Distribution
4.9 Sampling Distribution of Variance s 2
4.10 Snedecor's F-Distribution
4.11 Fisher's z-Distribution
Exercises
Multiple Choice Questions
Fill in the Blanks
Chapter 5 Estimation Theory
5.1 Introduction
5.2 Statistical Inference
5.3 Point Estimation
5.4 Interval Estimation
5.5 Bayesian Estimation
Exercises
Fill in the Blanks.
Chapter 6 Inferences Concerning Means and Proportions
6.1 Introduction
6.2 Statistical Hypotheses
6.3 Tests of Hypotheses and Significance
6.4 Type I and Type II Errors
6.5 Levels of Significance
6.6 Statistical Test of Hypothesis Procedure
6.7 Reasoning of Statistical Test of Hypothesis
6.8 Inference Concerning Two Means
Exercises
Fill in the Blanks
Chapter 7 Tests of Significance
7.1 Introduction
7.2 Test for One Mean (Small Sample)
7.3 Test for Two Means
7.4 Test of Hypothesis
7.5 Analysis of r × c Tables (Contingency Tables)
7.6 Goodness-of-Fit Test: χ2 Distribution
7.7 Estimation of Proportions
Exercises
Fill in the Blanks
Chapter 8 Curve Fitting: Regression and Correlation Analysis
8.1 Introduction
8.2 Linear Regression
8.3 Regression Analysis
8.4 Inferences Based on Least Squares Estimation
8.5 Multiple Regression
8.6 Correlation Analysis
8.7 Least Squares Line in Terms of Sample Variances and Covariance
8.8 Standard Error of Estimate
8.9 Spearman's Rank Correlation
8.10 Correlation for Bivariate Frequency Distribution
Exercises
Fill in the Blanks
Chapter 9 Analysis of Variance
9.1 Analysis of Variance (ANOVA)
9.2 What is ANOVA?
9.3 The Basic Principle 0f Anova
9.4 Anova Technique
9.5 Setting Up Analysis of Variance Table
9.6 Shortcut Method For One-Way Anova
9.7 Coding Method
9.8 Two-Way Anova
9.9 Anova in Latin-Square Design
Exercises
Chapter 10 Statistical Quality Control
10.1 Properties of Control Charts
10.2 Shewhart Control Charts for Measurements
10.3 Shewhart Control Charts for Attributes
10.4 Tolerance Limits
10.5 Acceptance Sampling
10.6 Two-stage Acceptance Sampling
Exercises
Chapter 11 Queueing Theory
11.1 Introduction
11.2 Queues or Waiting Lines.
11.3 Elements of a Basic Queueing System
11.4 Description of a Queueing System
11.5 Classification of Queueing Systems
11.6 Queueing Problem
11.7 States of Queueing Theory
11.8 Probability Distribution in Queueing Systems
11.9 Kendall's Notation for Representing Queueing Models
11.10 Basic Probabilistic Queueing Models
Exercises
Fill in the Blanks
Appendix A: Test Based on Normal Distributions
Appendix B: Statistical Tables
Appendix C: Basic Results
Additional Solved Problems
Index.

Probability and Statistics

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