Statistical Inference in Financial and Insurance Mathematics with R Optimization in Insurance and Finance Set 1st Edition by Alexandre Brouste 9781785480836 1785480839

Statistical Inference in Financial and Insurance Mathematics with R (Optimization in Insurance and Finance Set) 1st Edition Alexandre Brouste – Ebook Instant Download/Delivery ISBN(s): 9781785480836,1785480839

Product details:

• ISBN 10: 1785480839
• ISBN 13: 9781785480836
• Author: Alexandre

Finance and insurance companies are facing a wide range of parametric statistical problems. Statistical experiments generated by a sample of independent and identically distributed random variables are frequent and well understood, especially those consisting of probability measures of an exponential type. However, the aforementioned applications also offer non-classical experiments implying observation samples of independent but not identically distributed random variables or even dependent random variables.

Three examples of such experiments are treated in this book. First, the Generalized Linear Models are studied. They extend the standard regression model to non-Gaussian distributions. Statistical experiments with Markov chains are considered next. Finally, various statistical experiments generated by fractional Gaussian noise are also described.

In this book, asymptotic properties of several sequences of estimators are detailed. The notion of asymptotical efficiency is discussed for the different statistical experiments considered in order to give the proper sense of estimation risk. Eighty examples and computations with R software are given throughout the text.

• Examines a range of statistical inference methods in the context of finance and insurance applications
• Presents the LAN (local asymptotic normality) property of likelihoods
• Combines the proofs of LAN property for different statistical experiments that appears in financial and insurance mathematics
• Provides the proper description of such statistical experiments and invites readers to seek optimal estimators (performed in R) for such statistical experiments

Table Contents:

1. Part 1: Inference in Parametric Statistical Experiments
2. Part 2: Statistical Inference for Insurance
3. Part 3: Statistical Inference for Finance

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