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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 the conditional and unconditional distributions of the number of success runs on a circle with applications

Inoue, Kiyoshi; Aki, Sigeo - In: Statistics & Probability Letters 80 (2010) 9-10, pp. 874-885

In this paper, we study the distributions of the number of success runs of length k and the number of success runs of length k given the number of successes in a sequence of independent and identically distributed (i.i.d.) binary trials arranged on a circle (circular sequence) based on three...

Persistent link: https://www.econbiz.de/10008488261

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

Generalized binomial and negative binomial distributions of orderk by thel-overlapping enumeration scheme

Inoue, Kiyoshi; Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 55 (2003) 1, pp. 153-167

Persistent link: https://www.econbiz.de/10005616099

Generalized Waiting Time Problems Associated with Pattern in Polya's Urn Scheme

Inoue, Kiyoshi; Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 54 (2002) 3, pp. 681-688

Persistent link: https://www.econbiz.de/10005616102

A generalized Pólya urn model and related multivariate distributions

Inoue, Kiyoshi; Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 57 (2005) 1, pp. 49-59

Persistent link: https://www.econbiz.de/10005616199

Joint distributions of numbers of success runs of specified lengths in linear and circular sequences

Inoue, Kiyoshi; Aki, Sigeo - In: Annals of the Institute of Statistical Mathematics 57 (2005) 2, pp. 353-368

Persistent link: https://www.econbiz.de/10005616267

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

Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials

Inoue, Kiyoshi - In: Annals of the Institute of Statistical Mathematics 56 (2004) 1, pp. 143-168

Persistent link: https://www.econbiz.de/10005616114