, Table of Contents
Title Page
Copyright Page
Dedication
Preface
About the Authors
CHAPTER 1 - Introduction
PROBABILITY VS. STATISTICS
OVERVIEW OF THE BOOK
PART One - Descriptive Statistics
CHAPTER 2 - Basic Data Analysis
DATA TYPES
FREQUENCY DISTRIBUTIONS
EMPIRICAL CUMULATIVE FREQUENCY DISTRIBUTION
DATA CLASSES
CUMULATIVE FREQUENCY DISTRIBUTIONS
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 3 - Measures of Location and Spread
PARAMETERS VS. STATISTICS
CENTER AND LOCATION
VARIATION
MEASURES OF THE LINEAR TRANSFORMATION
SUMMARY OF MEASURES
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
,CHAPTER 4 - Graphical Representation of Data
PIE CHARTS
BAR CHART
STEM AND LEAF DIAGRAM
FREQUENCY HISTOGRAM
OGIVE DIAGRAMS
BOX PLOT
QQ PLOT
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 5 - Multivariate Variables and Distributions
DATA TABLES AND FREQUENCIES
CLASS DATA AND HISTOGRAMS
MARGINAL DISTRIBUTIONS
GRAPHICAL REPRESENTATION
CONDITIONAL DISTRIBUTION
CONDITIONAL PARAMETERS AND STATISTICS
INDEPENDENCE
COVARIANCE
CORRELATION
CONTINGENCY COEFFICIENT
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 6 - Introduction to Regression Analysis
THE ROLE OF CORRELATION
REGRESSION MODEL: LINEAR FUNCTIONAL RELATIONSHIP
BETWEEN TWO VARIABLES
DISTRIBUTIONAL ASSUMPTIONS OF THE REGRESSION MODEL
ESTIMATING THE REGRESSION MODEL
GOODNESS OF FIT OF THE MODEL
LINEAR REGRESSION OF SOME NONLINEAR RELATIONSHIP
TWO APPLICATIONS IN FINANCE
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
, CHAPTER 7 - Introduction to Time Series Analysis
WHAT IS TIME SERIES?
DECOMPOSITION OF TIME SERIES
REPRESENTATION OF TIME SERIES WITH DIFFERENCE
EQUATIONS
APPLICATION: THE PRICE PROCESS
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
PART Two - Basic Probability Theory
CHAPTER 8 - Concepts of Probability Theory
HISTORICAL DEVELOPMENT OF ALTERNATIVE APPROACHES
TO PROBABILITY
SET OPERATIONS AND PRELIMINARIES
PROBABILITY MEASURE
RANDOM VARIABLE
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 9 - Discrete Probability Distributions
DISCRETE LAW
BERNOULLI DISTRIBUTION
BINOMIAL DISTRIBUTION
HYPERGEOMETRIC DISTRIBUTION
MULTINOMIAL DISTRIBUTION
POISSON DISTRIBUTION
DISCRETE UNIFORM DISTRIBUTION
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 10 - Continuous Probability Distributions
CONTINUOUS PROBABILITY DISTRIBUTION DESCRIBED
Title Page
Copyright Page
Dedication
Preface
About the Authors
CHAPTER 1 - Introduction
PROBABILITY VS. STATISTICS
OVERVIEW OF THE BOOK
PART One - Descriptive Statistics
CHAPTER 2 - Basic Data Analysis
DATA TYPES
FREQUENCY DISTRIBUTIONS
EMPIRICAL CUMULATIVE FREQUENCY DISTRIBUTION
DATA CLASSES
CUMULATIVE FREQUENCY DISTRIBUTIONS
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 3 - Measures of Location and Spread
PARAMETERS VS. STATISTICS
CENTER AND LOCATION
VARIATION
MEASURES OF THE LINEAR TRANSFORMATION
SUMMARY OF MEASURES
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
,CHAPTER 4 - Graphical Representation of Data
PIE CHARTS
BAR CHART
STEM AND LEAF DIAGRAM
FREQUENCY HISTOGRAM
OGIVE DIAGRAMS
BOX PLOT
QQ PLOT
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 5 - Multivariate Variables and Distributions
DATA TABLES AND FREQUENCIES
CLASS DATA AND HISTOGRAMS
MARGINAL DISTRIBUTIONS
GRAPHICAL REPRESENTATION
CONDITIONAL DISTRIBUTION
CONDITIONAL PARAMETERS AND STATISTICS
INDEPENDENCE
COVARIANCE
CORRELATION
CONTINGENCY COEFFICIENT
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 6 - Introduction to Regression Analysis
THE ROLE OF CORRELATION
REGRESSION MODEL: LINEAR FUNCTIONAL RELATIONSHIP
BETWEEN TWO VARIABLES
DISTRIBUTIONAL ASSUMPTIONS OF THE REGRESSION MODEL
ESTIMATING THE REGRESSION MODEL
GOODNESS OF FIT OF THE MODEL
LINEAR REGRESSION OF SOME NONLINEAR RELATIONSHIP
TWO APPLICATIONS IN FINANCE
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
, CHAPTER 7 - Introduction to Time Series Analysis
WHAT IS TIME SERIES?
DECOMPOSITION OF TIME SERIES
REPRESENTATION OF TIME SERIES WITH DIFFERENCE
EQUATIONS
APPLICATION: THE PRICE PROCESS
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
PART Two - Basic Probability Theory
CHAPTER 8 - Concepts of Probability Theory
HISTORICAL DEVELOPMENT OF ALTERNATIVE APPROACHES
TO PROBABILITY
SET OPERATIONS AND PRELIMINARIES
PROBABILITY MEASURE
RANDOM VARIABLE
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 9 - Discrete Probability Distributions
DISCRETE LAW
BERNOULLI DISTRIBUTION
BINOMIAL DISTRIBUTION
HYPERGEOMETRIC DISTRIBUTION
MULTINOMIAL DISTRIBUTION
POISSON DISTRIBUTION
DISCRETE UNIFORM DISTRIBUTION
CONCEPTS EXPLAINED IN THIS CHAPTER (IN ORDER OF
PRESENTATION)
CHAPTER 10 - Continuous Probability Distributions
CONTINUOUS PROBABILITY DISTRIBUTION DESCRIBED
