Fuzzy Statistical Inferences Based on Fuzzy Random Variables  book cover
1st Edition

Fuzzy Statistical Inferences Based on Fuzzy Random Variables

  • Available for pre-order. Item will ship after February 25, 2022
ISBN 9781032162225
February 25, 2022 Forthcoming by Chapman and Hall/CRC
316 Pages 24 B/W Illustrations

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Book Description

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 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 be used at graduate and P.h.D level.

Table of Contents

1. Introduction  2. Probability of a fuzzy event  3. Descriptive statistics based on fuzzy data  4. Probability reasoning based on fuzzy random variable (FRV)  5. Fuzzy hypothesis testing for FRVs  6.Fuzzy quality control charts and time dependent fuzzy system reliability analysis for FRVs  7. Regression and time series models for FRVs

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Gholamreza Hesamian is associate professor of Statistics at Payame Noor University, Iran. His research areas include decision theory, probability theory, fuzzy mathematics and statistics.