Journal ArticleDOI
Estimating the Complete Sample Size from an Incomplete Poisson Sample
Reads0
Chats0
TLDR
In this paper, a modified maximum likelihood estimator was developed for estimating the zero class from a truncated Poisson sample when the available sample size itself is a random variable, and a modified estimator appeared to be best with respect to the chosen criteria.Abstract:
Maximum likelihood estimators and a modified maximum likelihood estimator are developed for estimating the zero class from a truncated Poisson sample when the available sample size itself is a random variable. All the estimators considered here are asymptotically equivalent in the usual sense; hence their asymptotic properties are investigated in some detail theoretically as well as by making use of Monte Carlo experiments. One modified estimator appears to be best with respect to the chosen criteria. An example is given to illustrate the results obtained.read more
Citations
More filters
Journal ArticleDOI
Robust estimation in truncated discrete distributions with application to capture-recapture experiments
TL;DR: In this article, a family of estimators for the relative frequency of the unobservable zero class in a truncated Poisson distribution is proposed for the estimation of the number of unobserved individuals in complex capture-recapture experiments.
Journal ArticleDOI
Estimating the Size of a Truncated Sample
TL;DR: In this paper, the authors deal with the problem of estimating N and θ in such situations which arise, for instance, in life testing and capture-recapture census.
Journal ArticleDOI
Estimating the number of classes
Chang Xuan Mao,Bruce G. Lindsay +1 more
TL;DR: In this paper, the problem of estimating the unknown number of classes in a population has been reduced to estimating the odds that a class is undetected in a sample, and a sequence of lower bounds to the odds is developed and used to define pseudo maximum likelihood estimators for the number of classifications.
Journal ArticleDOI
Estimating the number of classes
Chang Xuan Mao,Bruce G. Lindsay +1 more
TL;DR: In this article, the problem of estimating the unknown number of classes in a population has been reduced to estimating the odds that a class is undetected in a sample, and a sequence of lower bounds to the odds is developed and used to define pseudo maximum likelihood estimators for the number of classifications.
References
More filters
Journal ArticleDOI
Estimating the size of a multinomial population
TL;DR: In this paper, the problem of estimating the number of trials of a multinomial distribution, from an incomplete observation of the cell totals, under constraints on the cell probabilities, is investigated.
Journal ArticleDOI
Estimating the Size of a Truncated Sample
TL;DR: In this paper, the authors deal with the problem of estimating N and θ in such situations which arise, for instance, in life testing and capture-recapture census.