Probability Distribution Functions of Succession Quotas in the Case of Markov Dependent Trials
Author
Abstract
Suggested Citation
DOI: 10.1023/A:1003123013300
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Sigeo Aki, 1992. "Waiting time problems for a sequence of discrete random variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 44(2), pages 363-378, June.
- S. Mohanty, 1994. "Success runs of lengthk in Markov dependent trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 46(4), pages 777-796, December.
- Demetrios Antzoulakos & Andreas Philippou, 1996. "Derivation of the probability distribution functions for succession quota random variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(3), pages 551-561, September.
- Ling, K. D., 1992. "A generalization of the sooner and later waiting time problems for Bernoulli trials: Frequency quota," Statistics & Probability Letters, Elsevier, vol. 14(5), pages 401-405, July.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- EryIlmaz, Serkan, 2008. "Distribution of runs in a sequence of exchangeable multi-state trials," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1505-1513, September.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Qing Han & Sigeo Aki, 2000. "Waiting Time Problems in a Two-State Markov Chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(4), pages 778-789, December.
- Dheeraj Sharma & Mir Ghulam Talpur, 2016. "An Examination of One Dimension Marginal Distributions: Selling and Non - Selling Activities of a Salesperson," Working Papers id:10970, eSocialSciences.
- Sharma, Dheeraj & Talpur, Mir Ghulam Haider, 2016. "An Examination of One Dimension Marginal Distributions: Selling and Non-selling Activities of a Salesperson," IIMA Working Papers WP2016-03-48, Indian Institute of Management Ahmedabad, Research and Publication Department.
- Demetrios Antzoulakos, 1999. "On Waiting Time Problems Associated with Runs in Markov Dependent Trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(2), pages 323-330, June.
- S. Aki & N. Balakrishnan & S. Mohanty, 1996. "Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 773-787, December.
- Serkan Eryilmaz, 2005. "On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials," Statistical Papers, Springer, vol. 46(1), pages 117-128, January.
- Markos V. Koutras & Sotirios Bersimis & Demetrios L. Antzoulakos, 2006. "Improving the Performance of the Chi-square Control Chart via Runs Rules," Methodology and Computing in Applied Probability, Springer, vol. 8(3), pages 409-426, September.
- Ourania Chryssaphinou & Eutichia Vaggelatou, 2002. "Compound Poisson Approximation for Multiple Runs in a Markov Chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(2), pages 411-424, June.
- Masayuki Uchida, 1998. "On Generating Functions of Waiting Time Problems for Sequence Patterns of Discrete Random Variables," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 50(4), pages 655-671, December.
- Martin, Donald E.K. & Aston, John A.D., 2008. "Waiting time distribution of generalized later patterns," Computational Statistics & Data Analysis, Elsevier, vol. 52(11), pages 4879-4890, July.
- Kolev Nikolai, 2005. "Run and Frequency Quotas Under Markovian Fashion and their Application in Risk Analysis," Stochastics and Quality Control, De Gruyter, vol. 20(1), pages 97-109, January.
- Yu-Fei Hsieh & Tung-Lung Wu, 2013. "Recursive equations in finite Markov chain imbedding," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(3), pages 513-527, June.
- Sónia Gouveia & Manuel G. Scotto & Christian H. Weiß & Paulo Jorge S. G. Ferreira, 2017. "Binary auto-regressive geometric modelling in a DNA context," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(2), pages 253-271, February.
- Milienos, F.S. & Koutras, M.V., 2008. "A lower bound for the reliability function of multiple failure mode systems," Statistics & Probability Letters, Elsevier, vol. 78(12), pages 1639-1648, September.
- Michael V. Boutsikas & Markos V. Koutras, 2000. "Reliability Approximation for Markov Chain Imbeddable Systems," Methodology and Computing in Applied Probability, Springer, vol. 2(4), pages 393-411, December.
- Galit Shmueli, 2002. "System-Wide Probabilities for Systems with Runs and Scans Rules," Methodology and Computing in Applied Probability, Springer, vol. 4(4), pages 409-419, December.
- Masayuki Uchida & Sigeo Aki, 1995. "Sooner and later waiting time problems in a two-state Markov chain," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(3), pages 415-433, September.
- R. L. Shinde & K. S. Kotwal,, 2008. "Distributions of scan statistics in a sequence of Markov Bernoulli trials," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 135-155.
- Qing Han & Sigeo Aki, 2000. "Sooner and Later Waiting Time Problems Based on a Dependent Sequence," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(3), pages 407-414, September.
- Inoue, Kiyoshi & Aki, Sigeo, 2010. "On the conditional and unconditional distributions of the number of success runs on a circle with applications," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 874-885, May.
More about this item
Keywords
Sooner and later problems; frequency quota; succession quota; Markov dependent trials; probability distribution function; probability generating function; cumulative distribution function; binomial expressions; longest run; enumerator;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:aistmt:v:49:y:1997:i:3:p:531-539. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.