Estimation of the Parameters of Type III Populations from Truncated Samples

Abstract

Abstract The problem considered is the estimation of the mean and variance of Type III populations from singly and doubly truncated samples with known truncation points when the number of unmeasured observations is (i) unknown for each tail, (ii) known separately for each tail, (iii) known jointly for the two tails. For singly truncated samples, estimation of all three parameters has also been considered. Estimating equations are obtained by the method of moments as well as by the method of maximum likelihood. Previous results for the normal and Type III populations are particular cases of the results obtained in this paper. Numerical examples are given.