Modern Problems in Insurance Mathematics
Modern Problems in Insurance Mathematics

Author: Dmitrii Silvestrov

Publisher: Springer

Published: 2014-06-06

Total Pages: 388

ISBN-13: 3319066536

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This book is a compilation of 21 papers presented at the International Cramér Symposium on Insurance Mathematics (ICSIM) held at Stockholm University in June, 2013. The book comprises selected contributions from several large research communities in modern insurance mathematics and its applications. The main topics represented in the book are modern risk theory and its applications, stochastic modelling of insurance business, new mathematical problems in life and non-life insurance and related topics in applied and financial mathematics. The book is an original and useful source of inspiration and essential reference for a broad spectrum of theoretical and applied researchers, research students and experts from the insurance business. In this way, Modern Problems in Insurance Mathematics will contribute to the development of research and academy–industry co-operation in the area of insurance mathematics and its applications.

Non-Life Insurance Mathematics
Non-Life Insurance Mathematics

Author: Erwin Straub

Publisher: Springer Science & Business Media

Published: 1997-06-19

Total Pages: 148

ISBN-13: 9783540187875

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A good mixture of practical problems and their solutions. Addresses students with no knowledge of insurance and insurance practitioners who recall mathematics only from some distance. Prerequisites are basic calculus and probability theory. Annotation copyrighted by Book News, Inc., Portland, OR

Introduction to Insurance Mathematics
Introduction to Insurance Mathematics

Author: Annamaria Olivieri

Publisher: Springer

Published: 2015-09-30

Total Pages: 521

ISBN-13: 3319213776

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This second edition expands the first chapters, which focus on the approach to risk management issues discussed in the first edition, to offer readers a better understanding of the risk management process and the relevant quantitative phases. In the following chapters the book examines life insurance, non-life insurance and pension plans, presenting the technical and financial aspects of risk transfers and insurance without the use of complex mathematical tools. The book is written in a comprehensible style making it easily accessible to advanced undergraduate and graduate students in Economics, Business and Finance, as well as undergraduate students in Mathematics who intend starting on an actuarial qualification path. With the systematic inclusion of practical topics, professionals will find this text useful when working in insurance and pension related areas, where investments, risk analysis and financial reporting play a major role.

Modern Problems of Stochastic Analysis and Statistics
Modern Problems of Stochastic Analysis and Statistics

Author: Vladimir Panov

Publisher: Springer

Published: 2017-11-21

Total Pages: 506

ISBN-13: 331965313X

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This book brings together the latest findings in the area of stochastic analysis and statistics. The individual chapters cover a wide range of topics from limit theorems, Markov processes, nonparametric methods, acturial science, population dynamics, and many others. The volume is dedicated to Valentin Konakov, head of the International Laboratory of Stochastic Analysis and its Applications on the occasion of his 70th birthday. Contributions were prepared by the participants of the international conference of the international conference “Modern problems of stochastic analysis and statistics”, held at the Higher School of Economics in Moscow from May 29 - June 2, 2016. It offers a valuable reference resource for researchers and graduate students interested in modern stochastics.

Nonlinearly Perturbed Semi-Markov Processes
Nonlinearly Perturbed Semi-Markov Processes

Author: Dmitrii Silvestrov

Publisher: Springer

Published: 2017-09-06

Total Pages: 151

ISBN-13: 3319609882

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The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on special time-space screening procedures for sequential phase space reduction of semi-Markov processes combined with the systematical use of operational calculus for Laurent asymptotic expansions. Effective recurrent algorithms are composed for getting asymptotic expansions, without and with explicit upper bounds for remainders, for power moments of hitting times, stationary and conditional quasi-stationary distributions for nonlinearly perturbed semi-Markov processes. These results are illustrated by asymptotic expansions for birth-death-type semi-Markov processes, which play an important role in various applications. The book will be a useful contribution to the continuing intensive studies in the area. It is an essential reference for theoretical and applied researchers in the field of stochastic processes and their applications that will contribute to continuing extensive studies in the area and remain relevant for years to come.

Dealing in Uncertainty
Dealing in Uncertainty

Author: Arjen van der Heide

Publisher: Policy Press

Published: 2023-04-28

Total Pages: 208

ISBN-13: 1529221366

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Insurance is an important – if still poorly understood – mechanism for dealing with a broad variety of risks associated with modern life. This book conducts an in-depth examination of one of the largest and longest-established private insurance industries in Europe: British life insurance. In doing so, it draws on over 40 oral history interviews to trace how the sector has changed since the 1970s, a period characterized by rampant financialization and neoliberalization. Combining insights from science and technology studies and economic sociology, this is an unprecedented study of the evolution of insurance practices and an invaluable contribution to our understanding of financial capitalism.

Perturbed Semi-Markov Type Processes I
Perturbed Semi-Markov Type Processes I

Author: Dmitrii Silvestrov

Publisher: Springer Nature

Published: 2022-03-25

Total Pages: 406

ISBN-13: 3030924033

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This book is the first volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation. The first volume presents necessary and sufficient conditions for weak convergence for first-rare-event times and convergence in the topology J for first-rare-event processes defined on regularly perturbed finite Markov chains and semi-Markov processes. The text introduces new asymptotic recurrent algorithms of phase space reduction. It also addresses both effective conditions of weak convergence for distributions of hitting times as well as convergence of expectations of hitting times for regularly and singularly perturbed finite Markov chains and semi-Markov processes. The book also contains a comprehensive bibliography of major works in the field. It provides an effective reference for both graduate students as well as theoretical and applied researchers studying stochastic processes and their applications.

Modern Actuarial Risk Theory
Modern Actuarial Risk Theory

Author: Rob Kaas

Publisher: Springer Science & Business Media

Published: 2008-12-03

Total Pages: 394

ISBN-13: 3540867368

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Modern Actuarial Risk Theory contains what every actuary needs to know about non-life insurance mathematics. It starts with the standard material like utility theory, individual and collective model and basic ruin theory. Other topics are risk measures and premium principles, bonus-malus systems, ordering of risks and credibility theory. It also contains some chapters about Generalized Linear Models, applied to rating and IBNR problems. As to the level of the mathematics, the book would fit in a bachelors or masters program in quantitative economics or mathematical statistics. This second and.

Solutions Manual for Actuarial Mathematics for Life Contingent Risks
Solutions Manual for Actuarial Mathematics for Life Contingent Risks

Author: David C. M. Dickson

Publisher: Cambridge University Press

Published: 2012-03-26

Total Pages: 180

ISBN-13: 1107608449

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"This manual presents solutions to all exercises from Actuarial Mathematics for Life Contingent Risks (AMLCR) by David C.M. Dickson, Mary R. Hardy, Howard Waters; Cambridge University Press, 2009. ISBN 9780521118255"--Pref.

Stochastic Processes and Applications
Stochastic Processes and Applications

Author: Sergei Silvestrov

Publisher: Springer

Published: 2018-12-05

Total Pages: 482

ISBN-13: 3030028259

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This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications. It comprises selected, high-quality, refereed contributions from various large research communities in modern stochastic processes, algebraic structures and their interplay and applications. The chapters cover both theory and applications, illustrated by numerous figures, schemes, algorithms, tables and research results to help readers understand the material and develop new mathematical methods, concepts and computing applications in the future. Presenting new methods and results, reviews of cutting-edge research, and open problems and directions for future research, the book serves as a source of inspiration for a broad spectrum of researchers and research students in probability theory and mathematical statistics, applied algebraic structures, applied mathematics and other areas of mathematics and applications of mathematics. The book is based on selected contributions presented at the International Conference on “Stochastic Processes and Algebraic Structures – From Theory Towards Applications” (SPAS2017) to mark Professor Dmitrii Silvestrov’s 70th birthday and his 50 years of fruitful service to mathematics, education and international cooperation, which was held at Mälardalen University in Västerås and Stockholm University, Sweden, in October 2017.