5 papers
On distribution of runs and patterns in four state trials
Jungtaek Oh
From a mathematical and statistical point of view, a segment of a DNA strand can be viewed as a sequence of four-state (A, C, G, T) trials. We consider distributions of runs and pa…
Recurrence algorithms of waiting time for the success run of length in relation to generalized Fibonacci sequences
Jungtaek Oh, Chongjin Park, Sungsu Kim
Let denote the waiting time, the number of trials needed to get a consecutive ones. We propose recurrence algorithms for the probability distribution function (pdf) and…
On Success runs of a fixed length defined on a -sequence of binary trials
Jungtaek Oh, Dae-Gyu Jang
We study the exact distributions of runs of a fixed length in variation which considers binary trials for which the probability of ones is geometrically varying. The random variabl…
Type , , and -negative binomial distribution of order
Jungtaek Oh
We study the distributions of waiting times in variations of the negative binomial distribution of order . One variation apply different enumeration scheme on the runs of succes…
Run and Frequency quotas for q-binary trials
Jungtaek Oh
We study the distributions of waiting times in variations of the -sooner and later waiting time problem. One variation imposes length and frequency quotas on the runs of success…