This book provides an introduction to the asymptotic theory of random summation. It describes solving problems in hardware and software reliability, engineering, finance, insurance, computer science, physics and biology. The authors focus on transfer theorems, the classes of limit laws, and convergence of distributions of sums for a number of random variables. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions,and asymptotic behavior of doubly stochastic Poisson processes.
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Inside This Book
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First Sentence:
EXAMPLE 1.1.1. Consider the energy received by some region of the surface of Earth from cosmic particles during time T. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
geometric attraction, weakly relatively compact sequence, weak relative compactness, elementary rarefaction, centered summands, exponential reliability growth model, independent decrements, classical risk process, classical summation theory, renewing models, nonrandom centering, random summation, divisible distribution function, reliability growth models, divisible characteristic function, elementary increments, random sums, random indices, defective subsets, distributed summands, limit distribution function, nonrandom number, array scheme, divisible laws, defective sets Key Phrases - Capitalized Phrases (CAPs): (learn more)
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
EXAMPLE 1.1.1. Consider the energy received by some region of the surface of Earth from cosmic particles during time T. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
geometric attraction, weakly relatively compact sequence, weak relative compactness, elementary rarefaction, centered summands, exponential reliability growth model, independent decrements, classical risk process, classical summation theory, renewing models, nonrandom centering, random summation, divisible distribution function, reliability growth models, divisible characteristic function, elementary increments, random sums, random indices, defective subsets, distributed summands, limit distribution function, nonrandom number, array scheme, divisible laws, defective sets Key Phrases - Capitalized Phrases (CAPs): (learn more)
Apply Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 26
books:
See all 26 books this book cites
2
books
cite this book:
- Linear Regression Analysis (Wiley Series in Probability and Statistics) by George A. F. Seber in Back Matter
- Options, Futures and Other Derivatives (6th Edition) by John C. Hull in Back Matter
- Random Mappings (Translations Series in Mathematics and Engineering) by Valentin F. Kolchin in Back Matter
- Statistical Analysis with Missing Data, Second Edition by Roderick J. A. Little in Back Matter
- Continuous Univariate Distributions, Vol. 1 (Wiley Series in Probability and Statistics) by Norman L. Johnson in Back Matter
See all 26 books this book cites
- Stable Probability Measures on Euclidean Spaces and on Locally Compact Groups by Wilfried Hazod in Back Matter
- Information Theory And The Central Limit Theorem by Oliver Johnson in Back Matter
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