Ebook: Exercises in Probability

The author, the founder of the Greek Statistical Institute, has based this book on the two volumes of his Greek edition which has been used by over ten thousand students during the past fifteen years. It can serve as a companion text for an introductory or intermediate level probability course. Those will benefit most who have a good grasp of calculus, yet, many others, with less formal mathematical background can also benefit from the large variety of solved problems ranging from classical combinatorial problems to limit theorems and the law of iterated logarithms. It contains 329 problems with solutions as well as an addendum of over 160 exercises and certain complements of theory and problems.

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The author, the founder of the Greek Statistical Institute, has based this book on the two volumes of his Greek edition which has been used by over ten thousand students during the past fifteen years. It can serve as a companion text for an introductory or intermediate level probability course. Those will benefit most who have a good grasp of calculus, yet, many others, with less formal mathematical background can also benefit from the large variety of solved problems ranging from classical combinatorial problems to limit theorems and the law of iterated logarithms. It contains 329 problems with solutions as well as an addendum of over 160 exercises and certain complements of theory and problems.

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The author, the founder of the Greek Statistical Institute, has based this book on the two volumes of his Greek edition which has been used by over ten thousand students during the past fifteen years. It can serve as a companion text for an introductory or intermediate level probability course. Those will benefit most who have a good grasp of calculus, yet, many others, with less formal mathematical background can also benefit from the large variety of solved problems ranging from classical combinatorial problems to limit theorems and the law of iterated logarithms. It contains 329 problems with solutions as well as an addendum of over 160 exercises and certain complements of theory and problems.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Basic Probabilities. Discrete Spaces....Pages 3-16
Distributions. Random Variables....Pages 17-23
Expectation. Variance. Moments....Pages 24-29
General Problems....Pages 30-36
Front Matter....Pages 37-37
Multivariate Distributions....Pages 39-46
Generating Functions. Characteristic Functions....Pages 47-54
Distribution of Functions of Random Variables....Pages 55-62
Limit Theorems. Laws of Large Numbers. Central Limit Theorems....Pages 63-69
Special Topics: Inequalities, Geometrical Probabilities, Difference Equations....Pages 70-77
General Exercises....Pages 78-82
Back Matter....Pages 83-248

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The author, the founder of the Greek Statistical Institute, has based this book on the two volumes of his Greek edition which has been used by over ten thousand students during the past fifteen years. It can serve as a companion text for an introductory or intermediate level probability course. Those will benefit most who have a good grasp of calculus, yet, many others, with less formal mathematical background can also benefit from the large variety of solved problems ranging from classical combinatorial problems to limit theorems and the law of iterated logarithms. It contains 329 problems with solutions as well as an addendum of over 160 exercises and certain complements of theory and problems.
Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Basic Probabilities. Discrete Spaces....Pages 3-16
Distributions. Random Variables....Pages 17-23
Expectation. Variance. Moments....Pages 24-29
General Problems....Pages 30-36
Front Matter....Pages 37-37
Multivariate Distributions....Pages 39-46
Generating Functions. Characteristic Functions....Pages 47-54
Distribution of Functions of Random Variables....Pages 55-62
Limit Theorems. Laws of Large Numbers. Central Limit Theorems....Pages 63-69
Special Topics: Inequalities, Geometrical Probabilities, Difference Equations....Pages 70-77
General Exercises....Pages 78-82
Back Matter....Pages 83-248
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