The Signed Distance Measure in Fuzzy Statistical Analysis: Theoretical, Empirical and Programming Advances
暫譯: 模糊統計分析中的簽名距離度量：理論、實證與程式設計進展
Berkachy, Rédina
- 出版商: Springer
- 出版日期: 2021-11-01
- 售價: $5,640
- 貴賓價: 9.5 折 $5,358
- 語言: 英文
- 頁數: 342
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3030769151
- ISBN-13: 9783030769154
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商品描述
The main focus of this book is on presenting advances in fuzzy statistics, and on proposing a methodology for testing hypotheses in the fuzzy environment based on the estimation of fuzzy confidence intervals, a context in which not only the data but also the hypotheses are considered to be fuzzy. The proposed method for estimating these intervals is based on the likelihood method and employs the bootstrap technique. A new metric generalizing the signed distance measure is also developed. In turn, the book presents two conceptually diverse applications in which defended intervals play a role: one is a novel methodology for evaluating linguistic questionnaires developed at the global and individual levels; the other is an extension of the multi-ways analysis of variance to the space of fuzzy sets. To illustrate these approaches, the book presents several empirical and simulation-based studies with synthetic and real data sets. In closing, it presents a coherent R package called "FuzzySTs" which covers all the previously mentioned concepts with full documentation and selected use cases. Given its scope, the book will be of interest to all researchers whose work involves advanced fuzzy statistical methods.
商品描述(中文翻譯)
本書的主要焦點在於介紹模糊統計的進展，並提出一種在模糊環境中基於模糊信賴區間估計進行假設檢驗的方法論。在這種情境中，不僅數據被視為模糊，假設也被認為是模糊的。所提出的估計這些區間的方法基於似然法，並採用了自助法（bootstrap technique）。此外，還開發了一種新的度量，對簽名距離度量進行了概括。本書還介紹了兩個概念上多樣的應用，其中防衛區間發揮了作用：一個是針對全球和個體層面開發的評估語言問卷的新方法論；另一個是將多向變異數分析擴展到模糊集合空間。為了說明這些方法，本書展示了幾個基於實證和模擬的研究，使用合成數據集和真實數據集。最後，本書介紹了一個名為「FuzzySTs」的連貫R套件，涵蓋了所有前述概念，並提供完整的文檔和選定的使用案例。考慮到其範疇，本書將對所有涉及先進模糊統計方法的研究人員產生興趣。
作者簡介
Dr. Rédina Berkachy is a Senior Researcher at the Applied Statistics and Modelling (ASAM) group at the Department of Informatics, Faculty of Management, Economics and Social Sciences of the University of Fribourg, and a Senior Lecturer at the School of Engineering and Architecture of Fribourg of the University of Applied Sciences and Arts Western Switzerland. She holds a BSc in Mathematics from the Lebanese University (Lebanon), a MSc in Numerical Analysis and Mathematical Modelling from the Saint-Joseph University of Beirut (Lebanon), and a PhD in Statistics from the University of Fribourg (Switzerland). Her main research interests are fuzzy statistics and their applications, fuzzy decision making and mathematical and statistical modelling. She is also an R developer and the author of FuzzySTs package available on CRAN.
作者簡介(中文翻譯)
Dr. Rédina Berkachy 是瑞士弗里堡大學管理、經濟與社會科學院資訊學系應用統計與建模（ASAM）小組的高級研究員，以及瑞士西部應用科學與藝術大學弗里堡工程與建築學院的高級講師。她擁有黎巴嫩大學的數學學士學位、黎巴嫩貝魯特聖約瑟夫大學的數值分析與數學建模碩士學位，以及瑞士弗里堡大學的統計學博士學位。她的主要研究興趣包括模糊統計及其應用、模糊決策以及數學和統計建模。她也是一名 R 語言開發者，並且是可在 CRAN 上獲得的 FuzzySTs 套件的作者。
