Generalized sooner waiting time problems in a sequence of trinary trials

Serkan Eryilmaz; Min Gong; Min Xie

doi:10.1016/j.spl.2016.04.003

Author(s)

Serkan Eryilmaz
Min Gong
Min Xie

Detail(s)

Original language	English
Pages (from-to)	70-78
Journal / Publication	Statistics and Probability Letters
Volume	115
Publication status	Published - 1 Aug 2016

Link(s)

DOI	DOI https://doi.org/10.1016/j.spl.2016.04.003 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84969509019&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(d707eea8-7fd4-4c65-b32e-5ffd8393ab55).html

Abstract

Let {ξ_n, n≥1} be a sequence of independent trials with three possible outcomes 0, 1, 2 labeled as failure, success of type I and success of type II, respectively. Suppose that at each time a success of type I (type II) occurs in {ξ_n, n≥1} a random reward of type I (type II) is received. We obtain distributions of the number of trials until either the sum of consecutive rewards of type I is equal to or exceeds the level k₁ or the sum of consecutive rewards of type II is equal to or exceeds the level k₂ under two different schemes.

Research Area(s)

Exact distribution, Sooner waiting time, Trinary trials, BERNOULLI TRIALS, FREQUENCY, SYSTEMS, QUOTAS, RUN

Citation Format(s)

[ RIS ] [ BibTeX ]

Generalized sooner waiting time problems in a sequence of trinary trials. / Eryilmaz, Serkan; Gong, Min ; Xie, Min.
In: Statistics and Probability Letters, Vol. 115, 01.08.2016, p. 70-78.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Eryilmaz, S, Gong, M & Xie, M 2016, 'Generalized sooner waiting time problems in a sequence of trinary trials', Statistics and Probability Letters, vol. 115, pp. 70-78. https://doi.org/10.1016/j.spl.2016.04.003

Eryilmaz, S., Gong, M., & Xie, M. (2016). Generalized sooner waiting time problems in a sequence of trinary trials. Statistics and Probability Letters, 115, 70-78. https://doi.org/10.1016/j.spl.2016.04.003

Eryilmaz S, Gong M , Xie M. Generalized sooner waiting time problems in a sequence of trinary trials. Statistics and Probability Letters. 2016 Aug 1;115:70-78. doi: 10.1016/j.spl.2016.04.003

Eryilmaz, Serkan ; Gong, Min ; Xie, Min. / Generalized sooner waiting time problems in a sequence of trinary trials. In: Statistics and Probability Letters. 2016 ; Vol. 115. pp. 70-78.