Statistical Modeling and Applications on Real-Time Problems: Unraveling Insights through Advanced Analytical Techniques
暫譯: 實時問題的統計建模與應用：透過先進分析技術揭示洞察

在數學和統計模型主導的時代，本書揭示了這些工具在解碼數值、觀察和計算數據中的不確定性方面的深遠意義。從政府機構到私營實體，統計預測模型提供了一個關鍵框架，以便進行最佳決策，並在氣候、生產等多個領域提供細緻的見解。

本書

- 作為統計建模、方法論和優化技術的綜合資源，涵蓋各個領域。
- 收錄來自全球作者的貢獻；本書共包含10個深刻的章節，每個章節都針對統計建模中的估計和優化的關鍵方面進行探討。
- 涵蓋從非參數擬合優度統計到貝葉斯應用的各種主題；本書探討了新穎的重抽樣方法、實證模式的高級度量以及排隊系統中的瞬態行為分析。
- 包括擬合優度統計的漸近性質、貝葉斯統計的實際應用、Hard EM算法的修改以及明確的瞬態概率。
- 最後探討了一個針對易腐物品的庫存模型，整合了保存技術和學習效應，以確定經濟訂貨量。

本書是全球合作的見證，提供了一幅豐富的統計和數學建模的優秀畫卷，並伴隨著現實問題的解決。它將激發在統計建模和優化領域進一步的探索、討論和創新。

Chandra Shekhar is a distinguished academician and the former Head of the Department of Mathematics at BITS Pilani, India. He is actively engaged in both research and teaching, and his expertise encompasses a wide range of mathematical fields. These areas include Queueing Theory, Computer and Communication Systems, Machine Repair Problems, Reliability and Maintainability, Stochastic Processes, Evolutionary Computation, Statistical Analysis, and Fuzzy Set & Logic. At both the undergraduate and postgraduate levels, he imparts knowledge in subjects such as Probability and Statistics, Differential Equations, Linear Algebra, Advanced Calculus, Complex Variables, Fuzzy Logic, Operations Research, Statistical Inference, and more. He is a pioneer in Evolutionary Computation, Markovian and Stochastic Modeling, Queuing Analysis and its Applications, Inventory Theory, and Reliability Theory. He actively participates in national and international conferences, Faculty Development Programs (FDPs), and has taken the lead in organizing numerous conferences, workshops, and symposiums as a convener and organizing secretary. He has received the Best Research Paper Award at an international conference. His contributions extend to scholarly publications, with over 50 research articles published in esteemed journals within these domains. Additionally, he has supervised three Ph.D. theses and authored book chapters in edited books published by globally recognized publishers. Chandra Shekhar's authorship includes textbooks such as "Differential Equations, Calculus of Variations, and Special Functions," as well as edited books titled "Mathematical Modeling and Computation of Real-Time Problems: An Interdisciplinary Approach" and "Modeling and Applications in Operations Research."

Beyond his academic roles, Chandra Shekhar actively serves as a member of editorial boards and as a reviewer for prestigious journals and academic societies. He also contributes his expertise to various academic committees, including Hon'ble Governor/Chancellor nominees, the Board of Management, Doctoral Research Committees, Board of Studies, advisory boards, faculty selection committees, and examination boards for government and private universities, institutions, and research laboratories. As a professional, he has collaborated with and visited several renowned organizations, including IIRS (ISRO), CSIR-IIP, NIH, WIHG, CPWD, NTPC, Bank of Maharashtra, and APS Lifetech.

R. R. Sinha received his doctorate in "Sampling Techniques" from the Department of Statistics at Banaras Hindu University, Varanasi, India in 2001. He is currently an Associate Professor in the Department of Mathematics at Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, India. In addition to overseeing the dissertations of M. Tech. (Artificial Intelligence) and M. Sc. (Mathematics) candidates, he has guided two Ph. D. and three M. Phil. candidates. Dr. Sinha has more than 31 research publications and 3 book chapters published on various topics related to sampling techniques in national and international journals and proceedings. He has presented more than twenty-five research papers in international seminars/conferences/symposia and has been awarded the first prize for the best oral presentation of a research paper in an international conference. He is currently a life member of the Indian Society for Probability and Statistics, Indian Society of Agricultural Statistics, Indian Statistical Association, International Indian Statistical Association, and Ramanujan Mathematical Society. In addition to his scholarly responsibilities, Dr Sinha is an active member of editorial boards and a reviewer for esteemed journals and academic associations. His area of specialization is Sampling Theory, Data Analysis and Inference. ORCID identifier number of Dr. R. R. Sinha is 0000-0001-6386-1973.

Chandra Shekhar 是一位傑出的學者，曾任印度比爾拉尼科技學院（BITS Pilani）數學系主任。他積極參與研究和教學，專長涵蓋廣泛的數學領域，包括排隊理論（Queueing Theory）、計算機與通信系統（Computer and Communication Systems）、機器修理問題（Machine Repair Problems）、可靠性與可維護性（Reliability and Maintainability）、隨機過程（Stochastic Processes）、進化計算（Evolutionary Computation）、統計分析（Statistical Analysis）以及模糊集合與邏輯（Fuzzy Set & Logic）。在本科和研究生階段，他教授的科目包括機率與統計（Probability and Statistics）、微分方程（Differential Equations）、線性代數（Linear Algebra）、高等微積分（Advanced Calculus）、複變數（Complex Variables）、模糊邏輯（Fuzzy Logic）、運籌學（Operations Research）、統計推斷（Statistical Inference）等。他在進化計算、馬可夫與隨機建模、排隊分析及其應用、庫存理論（Inventory Theory）和可靠性理論（Reliability Theory）方面是先驅。他積極參加國內外會議、教師發展計畫（Faculty Development Programs, FDPs），並作為召集人和組織秘書主辦了多場會議、研討會和座談會。他在國際會議上獲得最佳研究論文獎。他的貢獻還包括學術出版物，在這些領域發表了超過50篇研究文章於知名期刊。此外，他指導了三篇博士論文，並在全球知名出版社出版的編輯書籍中撰寫了書章。Chandra Shekhar 的著作包括《微分方程、變分法與特殊函數》（Differential Equations, Calculus of Variations, and Special Functions）等教科書，以及名為《數學建模與實時問題的計算：跨學科方法》（Mathematical Modeling and Computation of Real-Time Problems: An Interdisciplinary Approach）和《運籌學中的建模與應用》（Modeling and Applications in Operations Research）的編輯書籍。

除了學術角色外，Chandra Shekhar 還積極擔任多個編輯委員會成員及知名期刊和學術社團的審稿人。他還將專業知識貢獻於各種學術委員會，包括榮譽州長/校長提名、管理委員會、博士研究委員會、學術委員會、諮詢委員會、教職選拔委員會以及政府和私立大學、機構和研究實驗室的考試委員會。作為一名專業人士，他曾與多個知名組織合作並進行訪問，包括 IIRS（ISRO）、CSIR-IIP、NIH、WIHG、CPWD、NTPC、Bank of Maharashtra 和 APS Lifetech。

R. R. Sinha 於 2001 年在印度瓦拉納西的班納拉斯印度大學（Banaras Hindu University）統計系獲得「抽樣技術」（Sampling Techniques）博士學位。他目前是印度賈蘭達爾的 Dr. B. R. Ambedkar 國立技術學院數學系的副教授。除了指導 M. Tech.（人工智慧）和 M. Sc.（數學）候選人的論文外，他還指導了兩名博士生和三名碩士研究生。Dr. Sinha 擁有超過 31 篇研究出版物和 3 篇書章，發表於國內外期刊和會議論文集中，主題涉及抽樣技術。他在國際研討會/會議/座談會上發表了超過二十五篇研究論文，並在國際會議上獲得最佳口頭報告的第一名獎項。他目前是印度機率與統計學會、印度農業統計學會、印度統計協會、國際印度統計協會和拉馬努詹數學學會的終身會員。除了學術責任外，Dr. Sinha 也是多個知名期刊和學術協會的編輯委員會成員及審稿人。他的專業領域是抽樣理論（Sampling Theory）、數據分析與推斷（Data Analysis and Inference）。Dr. R. R. Sinha 的 ORCID 識別號為 0000-0001-6386-1973。