Captures recapture sampling, Advanced Statistics

Captures recapture sampling: Another approach to a census for estimating the size of population, which operates by sampling the population number of times, identifying the individuals which appear more than once. It was first used by Laplace to estimate the population of France; this approach received its main impetus in to context of estimating the approximate size of the wildlife populations. An initial sample is attained and the individuals in that sample are marked or otherwise identi?ed. A next sample is, subsequently, independently attained, and it is noted how many individuals in that particular sample are marked. If the next sample is representative of the population as a whole, then the sample proportion of the marked individuals should be about the same as that of the corresponding population proportion. From this relationship total number of individuals in the population can be estimated. Particularly if X individuals are 'captured', marked, released and y individuals then the independently captured of which x are marked, then the estimator of the population size (often called as the Petersen estimator)is given as follows

1843_recapture sampling.png 
with variance given by
548_recapture sampling1.png 

The estimator does not have the ?nite expectation since x can take zero value. A modi?ed version, Chapman's estimator, adds one to the frequency of the animals caught in both the samples (x)with the follow-on population size estimator

344_recapture sampling2.png

Posted Date: 7/26/2012 6:01:03 AM | Location : United States







Related Discussions:- Captures recapture sampling, Assignment Help, Ask Question on Captures recapture sampling, Get Answer, Expert's Help, Captures recapture sampling Discussions

Write discussion on Captures recapture sampling
Your posts are moderated
Related Questions
Described by the leading proponent as 'the conscientious, explicit, and judicious uses of present best evidence in making the decisions about the care of individual patients, and

How large would the sample need to be if we are to pick a 95% confidence level sample: (i) From a population of 70; (ii) From a population of 450; (iii) From a population of 1000;

Quantile regression is an extension of the classical least squares from estimation of the conditional mean models to the estimation of the variety of models for many conditional q

Machine learning  is a term which literally means the ability of a machine to recognize patterns which have occurred repetitively and to improve its performance based on the past

Imprecise probabilities is a n approach used by soft techniques in which uncertainty is represented by the closed, convex sets of probability distributions and the probability of

Intervention analysis in time series : The extension of the autoregressive integrated moving average models applied to time series permitting for the study of the magnitude and str

The probability distribution, f (x), of largest extreme can be given as    The location parameter, α is the mode and β is the scale parameter. The mean, variance skewn

Treatment allocation ratio is the ratio of the number of subjects allocated to the two treatments in a clinical trial. The equal allocation is most usual in practice, but it might

(a) A plane timetable states that a particular plane is due at 2pm but the actual arrival time isuniformly distributed between 1pm and 3pm. (i) Calculate the probability that th

Ask quesoil company is considering whether or not to bid for an offshore drilling contract. If they bid, the value would be $600m with a 65% chance of gaining the contract. The com