Sharp Inequalities for Ordered Random Variables in Statistics and Reliability Volume I: Standard Order Statistics /
The book discusses various inequalities and sharp bounds for the usual order statistics as well as some functions of them. In particular, deterministic bounds, bounds for the case of IID samples from general, symmetric and life distributions, IID samples from shape restricted family of distributions...
সংরক্ষণ করুন:
| প্রধান লেখক: | , |
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| সংস্থা লেখক: | |
| বিন্যাস: | বৈদ্যুতিক বৈদ্যুতিন গ্রন্থ |
| ভাষা: | ইংরেজি |
| প্রকাশিত: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| সংস্করন: | 1st ed. 2024. |
| মালা: | Frontiers in Probability and the Statistical Sciences,
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| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | https://doi.org/10.1007/978-3-031-61347-0 |
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| 100 | 1 | |a Balakrishnan, Narayanaswamy. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Sharp Inequalities for Ordered Random Variables in Statistics and Reliability |h [electronic resource] : |b Volume I: Standard Order Statistics / |c by Narayanaswamy Balakrishnan, Tomasz Rychlik. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2024. | |
| 300 | |a 1 online resource (XIV, 672 p.). | ||
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| 490 | 1 | |a Frontiers in Probability and the Statistical Sciences, |x 2624-9995 | |
| 505 | 0 | |a - Introduction and Notation -- Analytic Inequalities and Other Tools -- Deterministic Bounds -- General, Symmetric and Life IID Samples -- Sampling from Finite Populations -- IID Samples from Shape Restricted Families. | |
| 520 | |a The book discusses various inequalities and sharp bounds for the usual order statistics as well as some functions of them. In particular, deterministic bounds, bounds for the case of IID samples from general, symmetric and life distributions, IID samples from shape restricted family of distributions, and samples from finite populations are all discussed in detail. An elaborate numerical evaluation and comparison of various bounds are also presented in order to illustrate their inherent differences as well as their precision. Furthermore, their applications to inference, reliability theory and characterizations are also highlighted. The book provides an in-depth exposure to various mathematical inequalities and bounds established historically as well as in recent years and their applications to order statistics and some important functions of them. It thus presents an up-to-date discussion of all results in this important area of mathematical and statistical research. The results described here are general in nature and therefore could be useful in other areas of Probability and Statistics as well. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Statistics . | |
| 650 | 1 | 4 | |a Statistical Theory and Methods. |
| 650 | 2 | 4 | |a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. |
| 700 | 1 | |a Rychlik, Tomasz. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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| 830 | 0 | |a Frontiers in Probability and the Statistical Sciences, |x 2624-9995 | |
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