ebook img

Dirichlet and Related Distributions: Theory, Methods and Applications PDF

326 Pages·2011·2.6 MB·English
Save to my drive
Quick download
Download

Download Dirichlet and Related Distributions: Theory, Methods and Applications PDF Free - Full Version

by Kai Wang Ng| 2011| 326 pages| 2.6| English

About Dirichlet and Related Distributions: Theory, Methods and Applications

The Dirichlet distribution appears in many areas of application, which include modelling of compositional data, Bayesian analysis, statistical genetics, and nonparametric inference. This book provides a comprehensive review of the Dirichlet distribution and two extended versions, the Grouped Dirichlet Distribution (GDD) and the Nested Dirichlet Distribution (NDD), arising from likelihood and Bayesian analysis of incomplete categorical data and survey data with non-response.The theoretical properties and applications are also reviewed in detail for other related distributions, such as the inverted Dirichlet distribution, Dirichlet-multinomial distribution, the truncated Dirichlet distribution, the generalized Dirichlet distribution, Hyper-Dirichlet distribution, scaled Dirichlet distribution, mixed Dirichlet distribution, Liouville distribution, and the generalized Liouville distribution.Key Features: Presents many of the results and applications that are scattered throughout the literature in one single volume.Looks at the most recent results such as survival function and characteristic function for the uniform distributions over the hyper-plane and simplex; distribution for linear function of Dirichlet components; estimation via the expectation-maximization gradient algorithm and application; etc.Likelihood and Bayesian analyses of incomplete categorical data by using GDD, NDD, and the generalized Dirichlet distribution are illustrated in detail through the EM algorithm and data augmentation structure.Presents a systematic exposition of the Dirichlet-multinomial distribution for multinomial data with extra variation which cannot be handled by the multinomial distribution.S-plus R codes are featured along with practical examples illustrating the methods.Practitioners and researchers working in areas such as medical science, biological science and social science will benefit from this book.

Detailed Information

Author:Kai Wang Ng
Publication Year:2011
ISBN:9780470688199
Pages:326
Language:English
File Size:2.6
Format:PDF
Price:FREE
Download Free PDF

Safe & Secure Download - No registration required

Why Choose PDFdrive for Your Free Dirichlet and Related Distributions: Theory, Methods and Applications Download?

  • 100% Free: No hidden fees or subscriptions required for one book every day.
  • No Registration: Immediate access is available without creating accounts for one book every day.
  • Safe and Secure: Clean downloads without malware or viruses
  • Multiple Formats: PDF, MOBI, Mpub,... optimized for all devices
  • Educational Resource: Supporting knowledge sharing and learning

Frequently Asked Questions

Is it really free to download Dirichlet and Related Distributions: Theory, Methods and Applications PDF?

Yes, on https://PDFdrive.to you can download Dirichlet and Related Distributions: Theory, Methods and Applications by Kai Wang Ng completely free. We don't require any payment, subscription, or registration to access this PDF file. For 3 books every day.

How can I read Dirichlet and Related Distributions: Theory, Methods and Applications on my mobile device?

After downloading Dirichlet and Related Distributions: Theory, Methods and Applications PDF, you can open it with any PDF reader app on your phone or tablet. We recommend using Adobe Acrobat Reader, Apple Books, or Google Play Books for the best reading experience.

Is this the full version of Dirichlet and Related Distributions: Theory, Methods and Applications?

Yes, this is the complete PDF version of Dirichlet and Related Distributions: Theory, Methods and Applications by Kai Wang Ng. You will be able to read the entire content as in the printed version without missing any pages.

Is it legal to download Dirichlet and Related Distributions: Theory, Methods and Applications PDF for free?

https://PDFdrive.to provides links to free educational resources available online. We do not store any files on our servers. Please be aware of copyright laws in your country before downloading.

The materials shared are intended for research, educational, and personal use in accordance with fair use principles.