Introductory Probability Theory
A first Course in Probability Theory – Volume I
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 Price: 129.00 kr
 Price: 129.00 kr
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Content
 Set Theory
 Introduction
 Sets
 Set Operations
 Classes Of Sets
 Laws Of Algebra Of Sets
 Venn Diagrams
 Introduction
 Counting principles
 Introduction
 Sampling with or without replacement
 Addition and multiplication principles of counting
 Permutations: ordered selection
 Combinations: unordered selection
 Binomial theorem
 Multinomial theorem
 Introduction
 Basic concepts in probability
 Introduction
 Experiments
 Sample spaces
 Events
 Concept of probability
 Introduction
 Basic probability laws and theorems
 Introduction
 Addition law of probability
 Law of complementation
 Inequality of probabilities
 Conditional probability
 Multiplication law of probability
 Total probability law
 Bayes’ theorem
 Statistical independence
 Introduction
 Random variables
 Introduction
 Concept of random variable
 Probability distribution of random variable
 Cumulative distribution function
 Conditional probability of random variable
 Introduction
 Numerical characteristics of random variables
 Introduction
 Measures of location
 Mode
 Median
 Quantiles
 Mathematical expectation
 Variance
 Introduction
 Moments and momentgenerating functions
 Introduction
 Types of moments
 Uses of moments
 Momentgenerating functions
 Introduction
Description
Introductory Probability Theory is volume one of the book entitles “A First Course in Probability Theory”. It is primarily intended for undergraduate students of Statistics and mathematics. It can, however, be used by students of Social Sciences and mathematicsrelated courses.
This volume covers the basic theory of probability in a simple yet easily comprehensible manner. It deals with the basic mathematical tools for the understanding of probability, such as, the set theory and the counting principles, the concept of probability, basic probability calculus, laws and theorems, the random variable, its probability distribution and numerical characterization. Determination of central and noncentral location of distributions as well as their spread are extensively discussed. Moments and momentgenerating functions have also been extensively covered.
The book has a large number of motivating solved examples. It has a large number of exercises at the end of each chapter for students’ practice.