ABSTRACT

This book presents the most commonly used techniques for the most statistical inferences based on fuzzy data. It brings together many of the main ideas used in statistical inferences in one place, based on fuzzy information including fuzzy data. This book covers a much wider range of topics than a typical introductory text on fuzzy statistics. It includes common topics like elementary probability, descriptive statistics, hypothesis tests, one-way ANOVA, control-charts, reliability systems and regression models. The reader is assumed to know calculus and a little fuzzy set theory. The conventional knowledge of probability and statistics is required.

Key Features:

  • Includes example in Mathematica and MATLAB.
  • Contains theoretical and applied exercises for each section.
  • Presents various popular methods for analyzing fuzzy data.

The book is suitable for students and researchers in statistics, social science, engineering, and economics, and it can be used at graduate and P.h.D level.

part I|262 pages

Fuzzy Statistical Inferences Based on Fuzzy Random Variables

chapter 2Chapter 1|38 pages

Introduction

chapter Chapter 2|32 pages

Probability of a Fuzzy Event

chapter Chapter 3|24 pages

Descriptive Statistics Based on Fuzzy Data

chapter Chapter 5|56 pages

Fuzzy Hypothesis Testing for FRVs

chapter Chapter 6|34 pages

Fuzzy Quality Control and Reliability Systems for FRVs

chapter Chapter 7|36 pages

Regression and Time Series Models for FRVs