Description:Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations
focusses on inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework. This approximation, whose name was coined by the author, is a successful competitor of the normal (or Cram�r's), diffusion, and Teugels' approximations, being a breakthrough in its conditions and accuracy.Since such approximations underlie numerous applications in risk theory, queueing theory, reliability theory, mathematical theory of dams and inventories, this book is of interest not only to professional mathematicians, but also to physicists, engineers, and economists.People from industry, with theoretical background in level-crossing problem, e.g., from the insurance industry, can benefit from reading this book. FeaturesPrimarily aimed at researchers and postgraduates, but may be of interest to some professionals working in related fields, such as the insurance industrySuitable for advanced courses in Applied Probability and, as a supplementary reading, for basic courses in Applied ProbabilityWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Level-Crossing Problems and Inverse Gaussian Distributions (Chapman & Hall/CRC Monographs and Research Notes in Mathematics). To get started finding Level-Crossing Problems and Inverse Gaussian Distributions (Chapman & Hall/CRC Monographs and Research Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
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Level-Crossing Problems and Inverse Gaussian Distributions (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
Description: Level-Crossing Problems and Inverse Gaussian Distributions: Closed-Form Results and Approximations
focusses on inverse Gaussian approximation for the distribution of the first level-crossing time in a shifted compound renewal process framework. This approximation, whose name was coined by the author, is a successful competitor of the normal (or Cram�r's), diffusion, and Teugels' approximations, being a breakthrough in its conditions and accuracy.Since such approximations underlie numerous applications in risk theory, queueing theory, reliability theory, mathematical theory of dams and inventories, this book is of interest not only to professional mathematicians, but also to physicists, engineers, and economists.People from industry, with theoretical background in level-crossing problem, e.g., from the insurance industry, can benefit from reading this book. FeaturesPrimarily aimed at researchers and postgraduates, but may be of interest to some professionals working in related fields, such as the insurance industrySuitable for advanced courses in Applied Probability and, as a supplementary reading, for basic courses in Applied ProbabilityWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Level-Crossing Problems and Inverse Gaussian Distributions (Chapman & Hall/CRC Monographs and Research Notes in Mathematics). To get started finding Level-Crossing Problems and Inverse Gaussian Distributions (Chapman & Hall/CRC Monographs and Research Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.