How Long to Read Multivariate Bonferroni-Type Inequalities

How Long Does it Take to Read Multivariate Bonferroni-Type Inequalities?

It takes the average reader 5 hours and 4 minutes to read Multivariate Bonferroni-Type Inequalities by John Chen

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

Description

Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade. The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Frechet optimality. The book explores these advances in bounding techniques with corresponding innovative applications. It presents the method of linear programming for multivariate bounds, multivariate hybrid bounds, sub-Markovian bounds, and bounds using Hamilton circuits. The first half of the book describes basic concepts and methods in probability inequalities. The author introduces the classification of univariate and multivariate bounds with optimality, discusses multivariate bounds using indicator functions, and explores linear programming for bivariate upper and lower bounds. The second half addresses bounding results and applications of multivariate Bonferroni-type inequalities. The book shows how to construct new multiple testing procedures with probability upper bounds and goes beyond bivariate upper bounds by considering vectorized upper and hybrid bounds. It presents an optimization algorithm for bivariate and multivariate lower bounds and covers vectorized high-dimensional lower bounds with refinements, such as Hamilton-type circuits and sub-Markovian events. The book concludes with applications of probability inequalities in molecular cancer therapy, big data analysis, and more.

How long is Multivariate Bonferroni-Type Inequalities?

Multivariate Bonferroni-Type Inequalities by John Chen is 302 pages long, and a total of 76,104 words.

This makes it 102% the length of the average book. It also has 93% more words than the average book.

How Long Does it Take to Read Multivariate Bonferroni-Type Inequalities Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 55 minutes to read Multivariate Bonferroni-Type Inequalities aloud.

What Reading Level is Multivariate Bonferroni-Type Inequalities?

Multivariate Bonferroni-Type Inequalities 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 Multivariate Bonferroni-Type Inequalities?

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