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On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context

Year 1987, Volume: 36 Issue: 02, 0 - 0, 01.01.1987

Ceyhan İnal

https://doi.org/10.1501/Commua1_0000000545
Cited By: 1

Abstract

Let Xı, X .. be a sequence of Bernoulli trials governed by a homogeneous third-order lwo-state Markov chain. The probabilirty function of the number of occurrences in n succes- sive trials, is obtained. In addition to this, assuming that steady State is already attained the li- miting function of is obtained under the condition that nP (Xj = 1) = u as n 00, Finally we can note that this limiting probabüity function can be generalized in terms of Leguerre poly- nomials as already shown in the relevant literatüre.

Keywords

Limiting Distribution Third-Order Markov Chain Markov Bernoulli Sequence

References

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

Year 1987, Volume: 36 Issue: 02, 0 - 0, 01.01.1987

Ceyhan İnal

https://doi.org/10.1501/Commua1_0000000545
Cited By: 1

Abstract

References

  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Ceyhan İnal This is me

Publication Date January 1, 1987
Submission Date January 1, 1987
Published in Issue Year 1987 Volume: 36 Issue: 02

Cite

APA İnal, C. (1987). On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 36(02). https://doi.org/10.1501/Commua1_0000000545
AMA İnal C. On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1987;36(02). doi:10.1501/Commua1_0000000545
Chicago İnal, Ceyhan. “On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 36, no. 02 (January 1987). https://doi.org/10.1501/Commua1_0000000545.
EndNote İnal C (January 1, 1987) On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 36 02
IEEE C. İnal, “On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 36, no. 02, 1987, doi: 10.1501/Commua1_0000000545.
ISNAD İnal, Ceyhan. “On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 36/02 (January 1987). https://doi.org/10.1501/Commua1_0000000545.
JAMA İnal C. On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1987;36. doi:10.1501/Commua1_0000000545.
MLA İnal, Ceyhan. “On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 36, no. 02, 1987, doi:10.1501/Commua1_0000000545.
Vancouver İnal C. On The Limiting Distribution For Bernoulli Trials Within A Markov Chain Context. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1987;36(02).

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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