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NISTIR 8139 Identifying Uniformity with Entropy and Divergence: NISTIR 8139 February 2017
NISTIR 8139 February 2017
Entropy models are frequently utilized in tests identifying either qualities of randomness or randomness uniformity of formal and/or observed distributions. NIST SP 800-22 and SP 800-90 discuss tests and methods leveraging both Shannon and min entropies. Shannon and min entropies represent two particular cases of Renyi entropy, which is a more general one parameter entropy model. Renyi entropy insightfully unifies Hartley, Shannon, collision, and min entropies and belongs to the class of one parameter entropy models, such as entropies named after Havrda-Charvat-Daroczy, Tsallis, Abe, and Kaniadakis. Renyi entropy along with the other members of the one parameter entropy models class can be in turn viewed as a case of the Sharma-Mittal entropy, which is a bi-parametric generalized entropy model. This NIST Internal Report (NISTIR) focuses on using Renyi and Tsallis entropy and divergence models to analyze similarities and differences between probability distributions of interest.
Why buy a book you can download for free?
First you gotta find a good clean (legible) copy and make sure it’s the latest version (not always easy). Some documents found on the web are missing some pages or the image quality is so poor, they are difficult to read. We look over each document carefully and replace poor quality images by going back to the original source document. We proof each document to make sure it’s all there – including all changes. If you find a good copy, you could print it using a network printer you share with 100 other people (typically its either out of paper or toner). If it’s just a 10-page document, no problem, but if it’s 250-pages, you will need to punch 3 holes in all those pages and put it in a 3-ring binder. Takes at least an hour.
It’s much more cost-effective to just order the latest version from Amazon.com
This book is published by 4th Watch Books and includes copyright material. We publish compact, tightly-bound, full-size books (8 ½ by 11 inches), with glossy covers. 4th Watch Books is a Service Disabled Veteran-Owned Small Business (SDVOSB). If you like the service we provide, please leave positive review on Amazon.com.
For more titles published by 4th Watch Books, please cybah.webplus.net
Entropy models are frequently utilized in tests identifying either qualities of randomness or randomness uniformity of formal and/or observed distributions. NIST SP 800-22 and SP 800-90 discuss tests and methods leveraging both Shannon and min entropies. Shannon and min entropies represent two particular cases of Renyi entropy, which is a more general one parameter entropy model. Renyi entropy insightfully unifies Hartley, Shannon, collision, and min entropies and belongs to the class of one parameter entropy models, such as entropies named after Havrda-Charvat-Daroczy, Tsallis, Abe, and Kaniadakis. Renyi entropy along with the other members of the one parameter entropy models class can be in turn viewed as a case of the Sharma-Mittal entropy, which is a bi-parametric generalized entropy model. This NIST Internal Report (NISTIR) focuses on using Renyi and Tsallis entropy and divergence models to analyze similarities and differences between probability distributions of interest.
Why buy a book you can download for free?
First you gotta find a good clean (legible) copy and make sure it’s the latest version (not always easy). Some documents found on the web are missing some pages or the image quality is so poor, they are difficult to read. We look over each document carefully and replace poor quality images by going back to the original source document. We proof each document to make sure it’s all there – including all changes. If you find a good copy, you could print it using a network printer you share with 100 other people (typically its either out of paper or toner). If it’s just a 10-page document, no problem, but if it’s 250-pages, you will need to punch 3 holes in all those pages and put it in a 3-ring binder. Takes at least an hour.
It’s much more cost-effective to just order the latest version from Amazon.com
This book is published by 4th Watch Books and includes copyright material. We publish compact, tightly-bound, full-size books (8 ½ by 11 inches), with glossy covers. 4th Watch Books is a Service Disabled Veteran-Owned Small Business (SDVOSB). If you like the service we provide, please leave positive review on Amazon.com.
For more titles published by 4th Watch Books, please cybah.webplus.net
38 pages, Paperback
Published February 28, 2017
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