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Communications in Statistics - Theory and Methods Volume 29, 2000 - Issue 8
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Original Articles

A unified approach to binomial-type distributions of order k

Sung-il Han Department of Informatics and Mathematical Science, Osaka University, Osaka, 560-8531, JAPAN
&
Sigeo Aki Department of Informatics and Mathematical Science, Osaka University, Osaka, 560-8531, JAPAN
Pages 1929-1943 | Received 01 Oct 1999, Published online: 27 Jun 2007

Citations (10)

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Read on this site (3)

Frosso S. Makri & Zaharias M. Psillakis. (2015) On ℓ-overlapping Runs of Ones of Length k in Sequences of Independent Binary Random Variables. Communications in Statistics - Theory and Methods 44:18, pages 3865-3884.
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FrossoS. Makri, AndreasN. Philippou & ZahariasM. Psillakis. (2007) Polya, Inverse Polya, and Circular Polya Distributions of Order k for l-Overlapping Success Runs. Communications in Statistics - Theory and Methods 36:4, pages 657-668.
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Demetrios L. Antzoulakos. (2003) Waiting Times and Number of Appearances of Runs: A Unified Approach. Communications in Statistics - Theory and Methods 32:7, pages 1289-1315.
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Articles from other publishers (7)

Spiros D. Dafnis & Frosso S. Makri. (2021) Weak runs in sequences of binary trials. Metrika 85:5, pages 573-603.
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S. J. Dilworth & S. R. Mane. (2018) Type II Binomial Distribution of Order k with Gaps. Journal of the Indian Society for Probability and Statistics 19:1, pages 105-120.
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S. J. Dilworth & S. R. Mane. (2016) Applications of Fuss-Catalan Numbers to Success Runs of Bernoulli Trials. Journal of Probability and Statistics 2016, pages 1-13.
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K. S. Kotwal & R. L. Shinde. (2006) Joint distributions of runs in a sequence of higher-order two-state Markov trials. Annals of the Institute of Statistical Mathematics 58:3, pages 537-554.
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Frosso S. Makri & Andreas N. Philippou. (2005) On binomial and circular binomial distributions of orderk forl-overlapping success runs of lengthk. Statistical Papers 46:3, pages 411-432.
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Kiyoshi Inoue & Sigeo Aki. (2003) Generalized binomial and negative binomial distributions of orderk by thel-overlapping enumeration scheme. Annals of the Institute of Statistical Mathematics 55:1, pages 153-167.
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N. Balakrishnan & Markos V. Koutras. 2001. Runs and Scans with Applications. Runs and Scans with Applications 389 435 .

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