Estimating the Size of a Truncated Sample

摘要: Abstract Consider N (unknown) values of a variable X (discrete or continuous) independently sampled from distribution with density f(x, θ), where θ is an unknown vector parameter. Suppose that the belonging to certain region R are not observable. This article deals problem estimating and in such situations which arise, for instance, life testing capture-recapture census. Asymptotic theory maximum likelihood estimation presented here shown yield as corollaries both some existing results new result pertaining truncated negative binomial distribution.