Research and Markets: Statistical Methods for Fuzzy Data - Life Data, Environmental, Biological, Medical, Sociological and Economics Data

DUBLIN--(BUSINESS WIRE)--Research and Markets (http://www.researchandmarkets.com/research/1517be/statistical_method) has announced the addition of John Wiley and Sons Ltd's new book "Statistical Methods for Fuzzy Data" to their offering.

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.

Key Topics Covered:

Part I FUZZY INFORMATION.

1. Fuzzy Data.

2. Fuzzy Numbers and Fuzzy Vectors.

3. Mathematical Operations for Fuzzy Quantities.

Part II DESCRIPTIVE STATISTICS FOR FUZZY DATA.

4. Fuzzy Samples.

5. Histograms for Fuzzy Data.

6. Empirical Distribution Functions.

7. Empirical Correlation for Fuzzy Data.

Part III FOUNDATIONS OF STATISTICAL INFERENCE WITH FUZZY DATA.

8. Fuzzy Probability Distributions.

9. A Law of Large Numbers.

10. Combined Fuzzy Samples.

Part IV CLASSICAL STATISTICAL INFERENCE FOR FUZZY DATA.

11. Generalized Point Estimations.

12. Generalized Confidence Regions.

13. Statistical Tests for Fuzzy Data.

Part V BAYESIAN INFERENCE AND FUZZY INFORMATION.

14. Bayes' Theorem and Fuzzy Information.

15. Generalized Bayes' Theorem.

16. Bayesian Confidence Regions.

17. Fuzzy Predictive Distributions.

18. Bayesian Decisions and Fuzzy Information.

Part VI REGRESSION ANALYSIS AND FUZZYINFORMATION.

19 Classical regression analysis.

20 Regression models and fuzzy data.

21 Bayesian regression analysis.

22 Bayesian regression analysis and fuzzy information.

Part VII FUZZY TIME SERIES.

23 Mathematical concepts.

24 Descriptive methods for fuzzy time series.

25 More on fuzzy random variables and fuzzy random vectors.

26 Stochastic methods in fuzzy time series analysis.

Part VIII APPENDICES.

For more information visit http://www.researchandmarkets.com/research/1517be/statistical_method