It takes the average reader 3 hours and 35 minutes to read Markov Chains and Invariant Probabilities by Onésimo Hernández-Lerma
Assuming a reading speed of 250 words per minute. Learn more
This book is about discrete-time, time-homogeneous, Markov chains (Mes) and their ergodic behavior. To this end, most of the material is in fact about stable Mes, by which we mean Mes that admit an invariant probability measure. To state this more precisely and give an overview of the questions we shall be dealing with, we will first introduce some notation and terminology. Let (X,B) be a measurable space, and consider a X-valued Markov chain ~. = {~k' k = 0, 1, ... } with transition probability function (t.pJ.) P(x, B), i.e., P(x, B) := Prob (~k+1 E B I ~k = x) for each x E X, B E B, and k = 0,1, .... The Me ~. is said to be stable if there exists a probability measure (p.m.) /.l on B such that (*) VB EB. /.l(B) = Ix /.l(dx) P(x, B) If (*) holds then /.l is called an invariant p.m. for the Me ~. (or the t.p.f. P).
Markov Chains and Invariant Probabilities by Onésimo Hernández-Lerma is 213 pages long, and a total of 53,889 words.
This makes it 72% the length of the average book. It also has 66% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 54 minutes to read Markov Chains and Invariant Probabilities aloud.
Markov Chains and Invariant 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.
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