Transitions between sleep stages are described in the article “Multinomial Logistic Estimation of…

Transitions between sleep stages are described in the article “Multinomial Logistic Estimation of…
Transitions between sleep stages are described in the article “Multinomial Logistic Estimation of Markov-Chain Models for Modeling Sleep Architecture in Primary Insomnia Patients” (J. Pharmacokinet. Pharmacodyn., 2010:137–155). The following one-step transition probabilities for the five stages awake (AW), stage 1 sleep (ST1), stage 2 sleep (ST2), slowwave sleep (SWS), and rapid-eye movement sleep (REM) were obtained from a graph in the article: The time index of the Markov chain corresponds to half-hour intervals (i.e., n = 1 is 30 min after the beginning of the study, n = 2 is 60 min in, etc.). Initially, all patients in the study were awake. (a) Let v0 denote the probability vector for X0, the initial state of a patient in the sleep study. Determine v0. (b) Without performing any matrix computations, determine the distribution of patients’ sleep states 30 min (one time interval) into the study. (c) Determine the distribution of patients’ sleep states 4 h into the study. [Hint: What time index corresponds to the 4-h mark?] Apr 08 2022 03:25 PM

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
Open chat
You can contact our live agent via WhatsApp! Via + 1 (409) 205-8984

Feel free to ask questions, clarifications, or discounts available when placing an order.

Order your essay today and save 30% with the discount code GURUH