東華大學圖書館 |

Language: English

Back to Search results for [ subject:"Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy." ]

Switch To: Labeled | MARC Mode | ISBD

Asymptotic statistics in insurance r...

Shimizu, Yasutaka.

Linked to FindBook

Google Book

Amazon

博客來

Asymptotic statistics in insurance risk theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Asymptotic statistics in insurance risk theory/ by Yasutaka Shimizu.
Author:	Shimizu, Yasutaka.
Published:	Singapore :Springer Singapore : : 2021.,
Description:	1 online resource (x, 110 p.) :ill., digital ;24 cm.
[NT 15003449]:	1. Introduction to ruin theory -- 2. L'evy insurance risk models -- 3. Foundations of Statistical Inference -- 4. Inference for Ruin Probability -- 5 Inferenece for Gerber-Shiu functions.
Contained By:	Springer Nature eBook
Subject:	Risk (Insurance) - Statistical methods. -
Online resource:	https://doi.org/10.1007/978-981-16-9284-0
ISBN:	9789811692840

Asymptotic statistics in insurance risk theory
Shimizu, Yasutaka.

Asymptotic statistics in insurance risk theory[electronic resource] /by Yasutaka Shimizu. - Singapore :Springer Singapore :2021. - 1 online resource (x, 110 p.) :ill., digital ;24 cm. - SpringerBriefs in statistics. JSS research series in statistics,2364-0065. - SpringerBriefs in statistics.JSS research series in statistics..

1. Introduction to ruin theory -- 2. L'evy insurance risk models -- 3. Foundations of Statistical Inference -- 4. Inference for Ruin Probability -- 5 Inferenece for Gerber-Shiu functions.

This book begins with the fundamental large sample theory, estimating ruin probability, and ends by dealing with the latest issues of estimating the Gerber-Shiu function. This book is the first to introduce the recent development of statistical methodologies in risk theory (ruin theory) as well as their mathematical validities. Asymptotic theory of parametric and nonparametric inference for the ruin-related quantities is discussed under the setting of not only classical compound Poisson risk processes (Cramér-Lundberg model) but also more general Lévy insurance risk processes. The recent development of risk theory can deal with many kinds of ruin-related quantities: the probability of ruin as well as Gerber-Shiu's discounted penalty function, both of which are useful in insurance risk management and in financial credit risk analysis. In those areas, the common stochastic models are used in the context of the structural approach of companies' default. So far, the probabilistic point of view has been the main concern for academic researchers. However, this book emphasizes the statistical point of view because identifying the risk model is always necessary and is crucial in the final step of practical risk management.

ISBN: 9789811692840

Standard No.: 10.1007/978-981-16-9284-0doiSubjects--Topical Terms:

765729
Risk (Insurance)
--Statistical methods.

LC Class. No.: HG8054.5 / S55 2021

Dewey Class. No.: 368.01

Asymptotic statistics in insurance risk theory
LDR:02569nmm a2200361 a 4500 001 2262387
003 DE-He213
005 20220121123341.0
006 m o d
007 cr nn 008maaau
008 220616s2021 si s 0 eng d
020 $a 9789811692840 $q (electronic bk.)
020 $a 9789811692833 $q (paper)
024 7 $a 10.1007/978-981-16-9284-0 $2 doi
035 $a 978-981-16-9284-0
040 $a GP $c GP
041 0 $a eng
050 4 $a HG8054.5 $b S55 2021
072 7 $a PBT $2 bicssc
072 7 $a K $2 bicssc
072 7 $a BUS061000 $2 bisacsh
072 7 $a PBT $2 thema
072 7 $a K $2 thema
082 0 4 $a 368.01 $2 23
090 $a HG8054.5 $b .S556 2021
100 1 $a Shimizu, Yasutaka. $3 3494759
245 1 0 $a Asymptotic statistics in insurance risk theory $h [electronic resource] / $c by Yasutaka Shimizu.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2021.
300 $a 1 online resource (x, 110 p.) : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in statistics. JSS research series in statistics, $x 2364-0065
505 0 $a 1. Introduction to ruin theory -- 2. L'evy insurance risk models -- 3. Foundations of Statistical Inference -- 4. Inference for Ruin Probability -- 5 Inferenece for Gerber-Shiu functions.
520 $a This book begins with the fundamental large sample theory, estimating ruin probability, and ends by dealing with the latest issues of estimating the Gerber-Shiu function. This book is the first to introduce the recent development of statistical methodologies in risk theory (ruin theory) as well as their mathematical validities. Asymptotic theory of parametric and nonparametric inference for the ruin-related quantities is discussed under the setting of not only classical compound Poisson risk processes (Cramér-Lundberg model) but also more general Lévy insurance risk processes. The recent development of risk theory can deal with many kinds of ruin-related quantities: the probability of ruin as well as Gerber-Shiu's discounted penalty function, both of which are useful in insurance risk management and in financial credit risk analysis. In those areas, the common stochastic models are used in the context of the structural approach of companies' default. So far, the probabilistic point of view has been the main concern for academic researchers. However, this book emphasizes the statistical point of view because identifying the risk model is always necessary and is crucial in the final step of practical risk management.
650 0 $a Risk (Insurance) $z Statistical methods. $3 765729
650 1 4 $a Statistics in Business, Management, Economics, Finance, Insurance. $3 3538572
650 2 4 $a Statistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. $3 3538811
650 2 4 $a Probability Theory. $3 3538789
650 2 4 $a IT Risk Management. $3 3538812
650 2 4 $a Financial Services. $3 2194957
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in statistics. $p JSS research series in statistics. $3 3451569
856 4 0 $u https://doi.org/10.1007/978-981-16-9284-0
950 $a Mathematics and Statistics (SpringerNature-11649)