Ebook: Lectures on Risk Theory

"... Especially now, where from the side of mathematical finance interest is also shown for insurance-related products, a book like this one will definitely be instrumental in communicating the basic mathematical models to non-experts in insurance. I therefore welcome this book for its intended audience." P. Embrechts. Mathematical Reviews, Ann Arbor "... [The book] is useful as a detailed theoretical complement to one of the classical introductory texts on risk theory ...". M. Schweizer. Zentralblatt für Mathematik, Berlin "... The author's goals are clearly proclaimed at the outset, and they are pursued with persistence and integrity. The result is a book which is an integral whole, original in some respects, with interesting contributions. And no errors - not even a single misprint. I recommend it to every tutor of risk theory as a source of mathematically solid proofs and complete explorations of certain aspects of the subject." R. Norberg. Metrika, Heidelberg

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"... Especially now, where from the side of mathematical finance interest is also shown for insurance-related products, a book like this one will definitely be instrumental in communicating the basic mathematical models to non-experts in insurance. I therefore welcome this book for its intended audience." P. Embrechts. Mathematical Reviews, Ann Arbor "... [The book] is useful as a detailed theoretical complement to one of the classical introductory texts on risk theory ...". M. Schweizer. Zentralblatt f?r Mathematik, Berlin "... The author's goals are clearly proclaimed at the outset, and they are pursued with persistence and integrity. The result is a book which is an integral whole, original in some respects, with interesting contributions. And no errors - not even a single misprint. I recommend it to every tutor of risk theory as a source of mathematically solid proofs and complete explorations of certain aspects of the subject." R. Norberg. Metrika, Heidelberg

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"... Especially now, where from the side of mathematical finance interest is also shown for insurance-related products, a book like this one will definitely be instrumental in communicating the basic mathematical models to non-experts in insurance. I therefore welcome this book for its intended audience." P. Embrechts. Mathematical Reviews, Ann Arbor "... [The book] is useful as a detailed theoretical complement to one of the classical introductory texts on risk theory ...". M. Schweizer. Zentralblatt f?r Mathematik, Berlin "... The author's goals are clearly proclaimed at the outset, and they are pursued with persistence and integrity. The result is a book which is an integral whole, original in some respects, with interesting contributions. And no errors - not even a single misprint. I recommend it to every tutor of risk theory as a source of mathematically solid proofs and complete explorations of certain aspects of the subject." R. Norberg. Metrika, Heidelberg
Content:
Front Matter....Pages i-x
Introduction....Pages 1-4
The Claim Arrival Process....Pages 5-16
The Claim Number Process....Pages 17-42
The Claim Number Process as a Markov Process....Pages 43-84
The Mixed Claim Number Process....Pages 85-102
The Aggregate Claims Process....Pages 103-126
The Risk Process in Reinsurance....Pages 127-154
The Reserve Process and the Ruin Problem....Pages 155-170
Back Matter....Pages 171-202

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"... Especially now, where from the side of mathematical finance interest is also shown for insurance-related products, a book like this one will definitely be instrumental in communicating the basic mathematical models to non-experts in insurance. I therefore welcome this book for its intended audience." P. Embrechts. Mathematical Reviews, Ann Arbor "... [The book] is useful as a detailed theoretical complement to one of the classical introductory texts on risk theory ...". M. Schweizer. Zentralblatt f?r Mathematik, Berlin "... The author's goals are clearly proclaimed at the outset, and they are pursued with persistence and integrity. The result is a book which is an integral whole, original in some respects, with interesting contributions. And no errors - not even a single misprint. I recommend it to every tutor of risk theory as a source of mathematically solid proofs and complete explorations of certain aspects of the subject." R. Norberg. Metrika, Heidelberg
Content:
Front Matter....Pages i-x
Introduction....Pages 1-4
The Claim Arrival Process....Pages 5-16
The Claim Number Process....Pages 17-42
The Claim Number Process as a Markov Process....Pages 43-84
The Mixed Claim Number Process....Pages 85-102
The Aggregate Claims Process....Pages 103-126
The Risk Process in Reinsurance....Pages 127-154
The Reserve Process and the Ruin Problem....Pages 155-170
Back Matter....Pages 171-202
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