How Long to Read Dirichlet and Related Distributions

By Kai Wang Ng

How Long Does it Take to Read Dirichlet and Related Distributions?

It takes the average reader 5 hours and 44 minutes to read Dirichlet and Related Distributions by Kai Wang Ng

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Dirichlet and Related Distributions?

Dirichlet and Related Distributions by Kai Wang Ng is 336 pages long, and a total of 86,016 words.

This makes it 113% the length of the average book. It also has 105% more words than the average book.

How Long Does it Take to Read Dirichlet and Related Distributions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 50 minutes to read Dirichlet and Related Distributions aloud.

What Reading Level is Dirichlet and Related Distributions?

Dirichlet and Related Distributions is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Dirichlet and Related Distributions?

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