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Distributions of numbers of runs and scans on directed acyclic graphs with generation

Inoue, Kiyoshi; Aki, Sigeo - In: Computational Statistics 28 (2013) 3, pp. 1133-1150

In this paper, we introduce a class of a directed acyclic graph on the assumption that the collection of random variables indexed by the vertices has a Markov property. We present a flexible approach for the study of the exact distributions of runs and scans on the directed acyclic graph by...

Persistent link: https://www.econbiz.de/10010847783

On waiting time distributions associated with compound patterns in a sequence of multi-state trials

Inoue, Kiyoshi; Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 61 (2009) 2, pp. 499-516

Persistent link: https://www.econbiz.de/10004999538

Bivariate Fibonacci polynomials of order k with statistical applications

Inoue, Kiyoshi; Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 63 (2011) 1, pp. 197-210

Persistent link: https://www.econbiz.de/10008925547

Joint Distributions of Numbers of Runs of Specified Lengths in a Sequence of Markov Dependent Multistate Trials

Inoue, Kiyoshi; Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 59 (2007) 3, pp. 577-595

Persistent link: https://www.econbiz.de/10005395760

On the Waiting Time for the First Success Run

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics 59 (2007) 3, pp. 597-602

Persistent link: https://www.econbiz.de/10005169335

Distributions of Runs and Consecutive Systems on Directed Trees

Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 51 (1999) 1, pp. 1-15

Persistent link: https://www.econbiz.de/10005184632

Joint distributions of numbers of success-runs and failures until the first consecutivek successes

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics 47 (1995) 2, pp. 225-235

Persistent link: https://www.econbiz.de/10005616124