统计推断选题：理论与应用

English | 2024 | ISBN: 978-981-97-2592-2 | 153 pages | True EPUB PDF | 16.4 MB

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.

中文|2024|ISBN:978-981-97-2592-2|153页|真正的EPUB PDF | 16.4 MB本书专门关注参数推理领域，从读者的角度来看，也就是说，只涵盖参数的点估计。它涵盖了参数推理中需要学生、研究人员和教师清晰接触的主题；仅仅陈述定理和证明可能并不总是能揭示推理某些方面的内在美和意义。为确保清晰性，本书深入探讨了以下主题：（1）“p”及其函数的顺序（无偏）点估计；推广到三项和四项人口；（2） 在有限种群推理中使用额外资源的一些方面；（3） 充分性概念与充分实验概念和实验比较；（4） 估计具有特殊特征的有限群体的大小；以及（5）指数样本和其他环境中可靠性的无偏估计。本书为统计估计理论中各种主题的发人深省、富有创造性和挑战性的讨论提供了一个平台，也是统计研究学者研究方法论课程的理想选择，也是澄清基础/高级讨论主题基本思想的理想选择。

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