How Long to Read Limit Theorems for Unions of Random Closed Sets

How Long Does it Take to Read Limit Theorems for Unions of Random Closed Sets?

It takes the average reader 2 hours and 43 minutes to read Limit Theorems for Unions of Random Closed Sets by Ilya S. Molchanov

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

Description

The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. Limiting distributions (called union-stable) are characterized and found explicitly for many examples of random closed sets. The speed of convergence in the limit theorems for unions is estimated by means of the probability metrics method.It includes the evaluation of distances between distributions of random sets constructed similarly to the well-known distances between distributions of random variables. The techniques include regularly varying functions, topological properties of the space of closed sets, Choquet capacities, convex analysis and multivalued functions. Moreover, the concept of regular variation is elaborated for multivalued (set-valued) functions. Applications of the limit theorems to simulation of random sets, statistical tests, polygonal approximations of compacts, limit theorems for pointwise maxima of random functions are considered. Several open problems are mentioned. Addressed primarily to researchers in the theory of random sets, stochastic geometry and extreme value theory, the book will also be of interest to applied mathematicians working on applications of extremal processes and their spatial counterparts. The book is self-contained, and no familiarity with the theory of random sets is assumed.

How long is Limit Theorems for Unions of Random Closed Sets?

Limit Theorems for Unions of Random Closed Sets by Ilya S. Molchanov is 158 pages long, and a total of 40,764 words.

This makes it 53% the length of the average book. It also has 50% more words than the average book.

How Long Does it Take to Read Limit Theorems for Unions of Random Closed Sets Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 42 minutes to read Limit Theorems for Unions of Random Closed Sets aloud.

What Reading Level is Limit Theorems for Unions of Random Closed Sets?

Limit Theorems for Unions of Random Closed Sets is suitable for students ages 10 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 Limit Theorems for Unions of Random Closed Sets?

Limit Theorems for Unions of Random Closed Sets by Ilya S. Molchanov is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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