%0 Journal Article %T ON THE MOMENTS OF LKD %J Iranian Journal of Science %I Springer %Z 2731-8095 %A BAZARGAN-LARI, A %D 2005 %\ 02/27/2005 %V 29 %N 3 %P 523-529 %! ON THE MOMENTS OF LKD %K Lagrangian Katz Family of Distribution (LKD) %K recurrence relations %K central %K non-central and factorial moments %K cumulants %R 10.22099/ijsts.2005.2826 %X The mean and variance of the Lagrangian Katz family of distribution (LKD), the basicLagrangian Katz distribution of Type I (LKD-I) and Type II (LKD-II) are provided in an easy method.The recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of LKD, LKD-I and LKD-II are given. The first fourcumulants of LKD-I and LKD-II are provided. %U https://ijsts.shirazu.ac.ir/article_2826_e500a7576eb164d442bdb20b3d6415b8.pdf