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Coupon collector’s problems with statistical applications to rankings

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics 65 (2013) 3, pp. 571-587

Some new exact distributions on coupon collector’s waiting time problems are given based on a generalized Pólya urn sampling. In particular, usual Pólya urn sampling generates an exchangeable random sequence. In this case, an alternative derivation of the distribution is also obtained from...

Persistent link: https://www.econbiz.de/10011000066

Lifetime distribution and estimation problems of consecutive-k-out-of-n:F systems

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 48 (1996) 1, pp. 185

Persistent link: https://www.econbiz.de/10007325878

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

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 47 (1995) 2, pp. 225-236

Persistent link: https://www.econbiz.de/10007330866

Distribution - Sooner and later waiting time problems for runs in Markov dependent bivariate trials

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 51 (1999) 1, pp. 17-30

Persistent link: https://www.econbiz.de/10007338278

Waiting time problems for a two-dimensional pattern

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 56 (2004) 4, pp. 169-182

Persistent link: https://www.econbiz.de/10006550166

Distribution - Waiting time problems for a two-dimensional pattern

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 56 (2004) 1, pp. 169-182

Persistent link: https://www.econbiz.de/10006550707

On Waiting Time for Reversed Patterns in Random Sequences

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 54 (2002) 4, pp. 713-718

Persistent link: https://www.econbiz.de/10006557365

Distribution - Numbers of success-runs of specified length until certain stopping time rules and generalized binomial distributions of order k

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 52 (2000) 4, pp. 767-777

Persistent link: https://www.econbiz.de/10006566572

Distributions of numbers of failures and successes until the first consecutive k successes

Aki, Sigeo; Hirano, Katuomi - In: Annals of the Institute of Statistical Mathematics : AISM 46 (1994) 1, pp. 193

Persistent link: https://www.econbiz.de/10006596314

On the Waiting Time for the First Success Run

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

Persistent link: https://www.econbiz.de/10007793545