In this paper, we define a generalized chi-square distribution by using a new parameter k > 0. we give some properties of the said distribution including the moment generating function and characteristic function in terms of k. Also, we establish a relationship in central moments involving the parameter k > 0. If k = 1, we have all the results of classical c2 distribution.
Rahman, Gauhar; Mubeen, Shahid; and Rehman, Abdur
"Generalization of Chi-square Distribution,"
Journal of Statistics Applications & Probability: Vol. 4
, Article 12.
Available at: https://dc.naturalspublishing.com/jsap/vol4/iss1/12