Selected Topics in Statistical Inference: Theory and Applications
Pal, Manisha, Sinha, Bikas K.
- 出版商: Springer
- 出版日期: 2024-09-12
- 售價: $4,040
- 貴賓價: 9.5 折 $3,838
- 語言: 英文
- 頁數: 192
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 9819725917
- ISBN-13: 9789819725915
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商品描述
This book focuses exclusively on the domain of parametric inference and that, too, from a reader's perspective, i.e., covering only point estimation of parameter(s). It covers those topics in parametric inference which need clarity of exposure to students, researchers, and teachers alike; mere statements of theorems and proofs may not always reveal the inner beauty and significance of some aspects of inference. To ensure clarity, the book discusses the following topics at an advanced level--(1) sequential (unbiased) point estimation of 'p' and its functions; generalization to trinomial and tetranomial populations; (2) some aspects of the use of additional resources in finite population inference; (3) the concept of sufficiency vis-à-vis the notion of sufficient experiments and comparison of experiments; (4) estimation of the size of a finite population with special features; and (5) unbiased estimation of reliability in exponential samples and other settings. This book provides a platform for thought-provoking, creative, and challenging discussions on a variety of topics in statistical estimation theory, it is also ideal for research methodology course for statistics research scholars, and for clarification of basic ideas in topics discussed at basic/advanced levels.
商品描述(中文翻譯)
本書專注於參數推斷領域,並且是從讀者的角度出發,即僅涵蓋參數的點估計。它探討了參數推斷中需要清晰呈現的主題,對於學生、研究者和教師來說,僅僅陳述定理和證明可能無法揭示推斷某些方面的內在美和重要性。為了確保清晰,本書在高級層次上討論以下主題——(1) 'p' 及其函數的序列(無偏)點估計;對三項和四項母體的推廣;(2) 在有限母體推斷中使用額外資源的某些方面;(3) 充分性概念與充分實驗的概念及實驗比較;(4) 具有特殊特徵的有限母體大小估計;以及 (5) 在指數樣本和其他情境中無偏估計可靠性。本書提供了一個引人深思、富有創意且具挑戰性的討論平台,涵蓋統計估計理論中的各種主題,對於統計研究學者的研究方法課程以及澄清基本概念也非常理想,適用於基本/高級層次討論的主題。
作者簡介
Manisha Pal is a retired professor of Statistics from the University of Calcutta, India and is currently a senior professor in the Department of Statistics, St. Xavier's University, Kolkata, India. She has been involved in fruitful research since 1982 and has more than 125 research publications in peer-reviewed journals, having collaborated with many researchers in India and abroad. Her co-authored book, "Optimal Mixture Experiments", was published in Springer's prestigious 'Lecture Notes in Statistics' book series. Her areas of research interest are inventory control, reliability inference, skewed distributions, mixture experiments and data analysis.
Bikas K Sinha is a retired professor of Statistics from Indian Statistical Institute, Kolkata. He has contributed immensely to both statistical theory and applications. He has published a number of research monographs and textbooks with publishers of international repute, including Springer. With more than 110 research collaborators worldwide and more than 160 research publications in peer-reviewed journals, and three research monographs (co-authored) published by Springer in its Lecture Notes in Statistics Series (1989, 2002, 2014), his scholastic contributions have earned him international academic recognition in Statistics.作者簡介(中文翻譯)
Manisha Pal 是印度加爾各答大學的退休統計學教授,目前擔任印度加爾各答聖澤維爾大學統計系的資深教授。自1982年以來,她參與了豐碩的研究,並在同行評審的期刊上發表了超過125篇研究論文,與許多國內外的研究者合作。她共同撰寫的書籍《Optimal Mixture Experiments》發表於Springer的知名《Lecture Notes in Statistics》系列中。她的研究興趣包括庫存控制、可靠性推斷、偏態分佈、混合實驗和數據分析。
Bikas K Sinha 是印度加爾各答統計學研究所的退休統計學教授。他對統計理論和應用做出了巨大貢獻。他與國際知名出版社(包括Springer)出版了多部研究專著和教科書。擁有超過110位全球研究合作者和超過160篇在同行評審期刊上發表的研究論文,以及三部由Springer在其《Lecture Notes in Statistics》系列中出版的研究專著(1989年、2002年、2014年),他的學術貢獻使他在統計學界獲得了國際學術認可。