On the moments of noncentral chi-squared distribution

Moments of noncentral chi-square distribution find applications in various fields. Recurrence relations are useful to compute higher-order moments from lower-order ones. This paper proposes an alternate method to compute ordinary moments using the results reported by Cameron (Commu. Stat., 1975) and Ashour & Abdel-Samad (Commu. Stat., 1990), which is useful to get reasonable moment and CDF approximations when the noncentrality parameter is very small. A generalized Laguerre polynomial representation for moments is also obtained.