Captures recapture sampling, Advanced Statistics

Assignment Help:

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


Related Discussions:- Captures recapture sampling

Uncertainty analysis, Uncertainty analysis is the process for assessing th...

Uncertainty analysis is the process for assessing the variability in the outcome variable that is due to the uncertainty in estimating the values of input parameters. A sensitivit

Decision Models., An oil company thinks that there is a 60% chance that the...

An oil company thinks that there is a 60% chance that there is oil in the land they own. Before drilling they run a soil test. When there is oil in the ground, the soil test comes

Explain non-response, Non-response is the term generally used for the fail...

Non-response is the term generally used for the failure to give the relevant information being collected in the survey. Poor response can be because of the variety of causes, for

Decision Analysis, Build-Rite construction has received favorable publicity...

Build-Rite construction has received favorable publicity from guest appearances on a public TV home improvement program. Public TV programming decisions seem to be unpredictable, s

Math, A statewide survey of 1,706 California adults’ residents include the ...

A statewide survey of 1,706 California adults’ residents include the following question: would you favor or oppose providing a path to citizenship for illegal immigrants in the U.S

LASPEYERES QUANTITY INDEX, HOW TO OBTAIN THE LASPEYRES QUANTITY INDEX AND T...

HOW TO OBTAIN THE LASPEYRES QUANTITY INDEX AND THE FORMULA

Regression dilution, Regression dilution is the term which is applied when...

Regression dilution is the term which is applied when a covariate in the model cannot be measured directly and instead of that a related observed value must be used in analysis. I

Negative binomial distribution, Negative binomial distribution is the prob...

Negative binomial distribution is the probability distribution of number of failures, X, before the kth success in the sequence of Bernoulli trials where the probability of succes

Doubly ordered contingency tables, The contingency tables in which the row ...

The contingency tables in which the row and column both the categories follow a natural order. An instance for this might be, drug toxicity ranging from mild to severe, against the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd