: In a sequence of n binary trials, distribution of the random variable Mn,k, denoting the
number of overlapping success runs of length exactly k, is called Ling’s binomial distribution or Type II
binomial distribution of order k. In this paper, we generalize Ling’s binomial distribution to Ling’s q-binomial
distribution using Bernoulli trials with a geometrically varying success probability. An expression for the
probability mass function of this distribution is derived. For q = 1, this distribution reduces to Ling’s binomial
distribution.
Binomial distribution of order k Ling’s binomial distribution q-distributions runs
Birincil Dil | İngilizce |
---|---|
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 31 Aralık 2013 |
Kabul Tarihi | 1 Ekim 2013 |
Yayımlandığı Sayı | Yıl 2013 Cilt: 6 Sayı: 3 |