TY - JOUR
T1 - Minimum Variance Unbiased Estimation for the Lagrange Power Series Distributions
AU - Consul, P. C.
AU - Famoye, F.
PY - 1989/1/1
Y1 - 1989/1/1
N2 - It is shown that the modified power series distribution (MPSD) [Gupta, 1974], the Lagrange probability distribution (LPD) [Consul and Shenton, 1972], the Lagrange power series distribution (LPSD) [Jain, 1975] and the discrete exponential family (DEF) distribution [Janardan, 1982) represent the same probability model. A theorem on the MVU estimation of a function 1(0) of the parameter 6 in the LPSD is stated with the nccessary conditions. The theorem is then applied to derive the MVU estimators for the mean, square of the mean and the variance of the generalized Poisson distribution, generalized negative binomial distribution and some other related distributions.
AB - It is shown that the modified power series distribution (MPSD) [Gupta, 1974], the Lagrange probability distribution (LPD) [Consul and Shenton, 1972], the Lagrange power series distribution (LPSD) [Jain, 1975] and the discrete exponential family (DEF) distribution [Janardan, 1982) represent the same probability model. A theorem on the MVU estimation of a function 1(0) of the parameter 6 in the LPSD is stated with the nccessary conditions. The theorem is then applied to derive the MVU estimators for the mean, square of the mean and the variance of the generalized Poisson distribution, generalized negative binomial distribution and some other related distributions.
KW - Lagrange power series distributions
KW - MVU estimable
KW - Minimum variance unbiased estimator
UR - http://www.scopus.com/inward/record.url?scp=84972996262&partnerID=8YFLogxK
U2 - 10.1080/02331888908802188
DO - 10.1080/02331888908802188
M3 - Article
AN - SCOPUS:84972996262
VL - 20
SP - 407
EP - 415
JO - Statistics
JF - Statistics
SN - 0233-1888
IS - 3
ER -