How Long to Read Markov Chains with Stationary Transition Probabilities

How Long Does it Take to Read Markov Chains with Stationary Transition Probabilities?

It takes the average reader 4 hours and 46 minutes to read Markov Chains with Stationary Transition Probabilities by Kai Lai Chung

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

Description

The theory of Markov chains, although a special case of Markov processes, is here developed for its own sake and presented on its own merits. In general, the hypothesis of a denumerable state space, which is the defining hypothesis of what we call a "chain" here, generates more clear-cut questions and demands more precise and definitive an swers. For example, the principal limit theorem (§§ 1. 6, II. 10), still the object of research for general Markov processes, is here in its neat final form; and the strong Markov property (§ 11. 9) is here always applicable. While probability theory has advanced far enough that a degree of sophistication is needed even in the limited context of this book, it is still possible here to keep the proportion of definitions to theorems relatively low. . From the standpoint of the general theory of stochastic processes, a continuous parameter Markov chain appears to be the first essentially discontinuous process that has been studied in some detail. It is common that the sample functions of such a chain have discontinuities worse than jumps, and these baser discontinuities play a central role in the theory, of which the mystery remains to be completely unraveled. In this connection the basic concepts of separability and measurability, which are usually applied only at an early stage of the discussion to establish a certain smoothness of the sample functions, are here applied constantly as indispensable tools.

How long is Markov Chains with Stationary Transition Probabilities?

Markov Chains with Stationary Transition Probabilities by Kai Lai Chung is 278 pages long, and a total of 71,724 words.

This makes it 94% the length of the average book. It also has 88% more words than the average book.

How Long Does it Take to Read Markov Chains with Stationary Transition Probabilities Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 31 minutes to read Markov Chains with Stationary Transition Probabilities aloud.

What Reading Level is Markov Chains with Stationary Transition Probabilities?

Markov Chains with Stationary Transition Probabilities 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 Markov Chains with Stationary Transition Probabilities?

Markov Chains with Stationary Transition Probabilities by Kai Lai Chung 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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