Abstract
EXAMINATION of random sequences from Markov chains enables us to judge the relative efficiency of various methods which have been developed for testing different statistical hypotheses. A good deal of work, therefore, has been done recently by various authors1–7 on the distribution of the number of transitions between adjoining observations of sequences from k-state Markov chains. The methods and results obtained in these investigations are rather unwieldy and cumbersome. The object of the present communication is to obtain the results for k-state chain from those of the two-state.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on SpringerLink
- Instant access to the full article PDF.
USD 39.95
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Bhat, B. R., Ann. Math. Stat., 32, 59 (1961).
Billingsley, P., Ann. Math. Stat., 32, 12 (1961).
Good, I. J., Ann. Math. Stat., 32, 41 (1961).
Krishna Iyer, P. V., and Shakuntala, N. S., Proc. Camb. Phil. Soc., 55, 273 (1959).
Krishna Iyer, P. V., and Shakuntala, N. S., Proc. Camb. Phil. Soc., 58, 427 (1962).
Krishna Iyer, P. V., and Ray, D., J. Ind. Soc. Agric. Stat., 10, 23 (1958).
Whittle, P., J. Roy. Stat. Soc., B, 17, 235 (1955).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
KRISHNA IYER, P. k-State Markov Chains. Nature 196, 912 (1962). https://doi.org/10.1038/196912a0
Issue date:
DOI: https://doi.org/10.1038/196912a0
