Book description
Statistical data are not always precise numbers, or vectors, or categories. Real data are frequently what is called fuzzy. Examples where this fuzziness is obvious are quality of life data, environmental, biological, medical, sociological and economics data. Also the results of measurements can be best described by using fuzzy numbers and fuzzy vectors respectively.
Statistical analysis methods have to be adapted for the analysis of fuzzy data. In this book, the foundations of the description of fuzzy data are explained, including methods on how to obtain the characterizing function of fuzzy measurement results. Furthermore, statistical methods are then generalized to the analysis of fuzzy data and fuzzy a-priori information.
Key Features:
Provides basic methods for the mathematical description of fuzzy data, as well as statistical methods that can be used to analyze fuzzy data.
Describes methods of increasing importance with applications in areas such as environmental statistics and social science.
Complements the theory with exercises and solutions and is illustrated throughout with diagrams and examples.
Explores areas such quantitative description of data uncertainty and mathematical description of fuzzy data.
This work is aimed at statisticians working with fuzzy logic, engineering statisticians, finance researchers, and environmental statisticians. It is written for readers who are familiar with elementary stochastic models and basic statistical methods.
Table of contents
- Cover
- Title Page
- Copyright
- Preface
- Part I: Fuzzy Information
- Part II: Descriptive Statistics for Fuzzy Data
- Part III: Foundations of Statistical Inference With Fuzzy Data
- Part IV: Classical Statistical Inference for Fuzzy Data
- Part V: Bayesian Inference and Fuzzy Information
- Part VI: Regression Analysis and Fuzzy Information
- Part VII: Fuzzy time series
- Part VIII: Appendices
- References
- Index
Product information
- Title: Statistical Methods for Fuzzy Data
- Author(s):
- Release date: March 2011
- Publisher(s): Wiley
- ISBN: 9780470699454
You might also like
book
Product Manufacturing and Cost Estimating using CAD/CAE
This is the second part of a four part series that covers discussion of computer design …
book
The Little Black Book of Decision Making
The secret to making the right call in an increasingly complex world The decisions we make …
book
Statistical Inference: A Short Course
A concise, easily accessible introduction to descriptive and inferential techniques Statistical Inference: A Short Course offers …
book
Dynamic Fuzzy Machine Learning
Machine learning is widely used for data analysis. Dynamic fuzzy data are one of the most …