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Population estimation with performance guarantees
2007 IEEE International Symposium on Information Theory, 2007We estimate the population size by sampling uniformly from the population. Given an accuracy to which we need to estimate the population with a pre-specified confidence, we provide a simple stopping rule for the sampling process.
Alon Orlitsky +2 more
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Cooperative estimation in heterogeneous populations
2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), 2011We consider the problem of cooperative distributed estimation within a network of heterogeneous agents. We begin with the situation where each agent observes an independent stream of Bernoulli random variables, and the goal is for each to determine its own Bernoulli parameter. However, the agents of the population can be categorized into a small number
Andrew J. Bean, Andrew C. Singer
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Estimation of the Number of Classes in a Population
Biometrical Journal, 1988AbstractThe problem of estimating M, the number of classes in a population, is formulated as an occupancy problem in which N items are drawn from M urns. Under the assumption of a uniform distribution for the number of classes in the population, the sufficient statistic for M, which is the number of distinct classes observed, does not depend upon the ...
Arnold, Barry C., Beaver, Robert J.
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Sequential Estimation of the Size of a Population
Biometrika, 1972When estimating the size of a finite population, it is possible to consider, as an alternative to the capture-recapture method, a sequential scheme. Suppose an urn contains an unknown number, N, balls, initially all white. A single ball is drawn at random and if it is white it is painted black and returned to the urn, while if it is black, indicating ...
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Estimating Past Population Trends
Annual Review of Anthropology, 1981A review of methods used to estimate past population trends and the theoretical models implicit in these methods is presented. The review is concerned both with efforts to estimate the size of a target population at a given moment in time and with efforts to examine population growth over time.
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Bayesian Estimation of the Size of a Population
2006We consider the following problem: estimate the size of a population marked with serial numbers after only a sample of the serial numbers has been observed. Its simplicity in formulation and the inviting possibilities of applicationmake this estimation well suited for an undergraduate level probability course.
Höhle, Michael, Held, Leonhard
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An Estimator for the Size of an Animal Population
Biometrika, 1973SUMMARY A method of estimating animal populations which is popular among zoologists is to take the total of the ages of animals that die during a given year as an estimator of population size. In this note the bias and variance of the estimator are investigated for a stationary model, and for one based on a branching process.
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Parameter Estimation of the Gompertz Population
Biometrical Journal, 1997AbstractThe Gompertz distribution has been used to model human mortality and fit actuarial tables. In the recent years, this distribution has been studied by some authors. The MLE estimates for the parameters of the Gompertz distribution were disucssed by GARG, RAO and REDMOND (1970). The purpose of this paper is to develop an exact confidence interval
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Estimating the total of a continous population
Journal of Statistical Planning and Inference, 1986A continuous population on the real line may be considered as the realization y(t) of a random process Y(t) with a trend function and a covariance function. On the basis of sample values \(y(t_ 1),...,y(t_ n)\) it is natural to choose the estimator \(\hat T\) of the toal \(T=\int^{a}_{0}y(t)dt\) so that \(E[(\hat T-T)^ 2]\) is minimized.
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