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
Path analysis  is  a device for evaluating the interrelationships among the variables by analyzing their correlational structure. The relationships between the variables are man

In the network shown below, the rst of the two numbers on each arc indicates the arc capacity and the second (in parentheses) of the two numbers indicates the current  flow. Use t

Ascertainment bias : A feasible form of bias, particularly in the retrospective studies, which arises from the relationship between the exposure to the risk factor and the probabil

Initial data analysis (IDA): The first phase in the examination of the data set which comprises  number of informal steps including the following steps * checking the quality o

The method or technique for producing the sequence of parameter estimates that, under the mild regularity conditions, converges to maximum likelihood estimator. Of particular signi

Household interview surveys : The surveys in which the primary sampling units are typically geographic regions such as nations or cities. For each such unit sampled, there are addi

Regression line drawn as y= c+ 1075x ,when x was2, and y was 239,given that y intercept was 11. Calculate the residual ?

cholscores Treatment income ($000) Patient ID low Income? 0.6 Old 21.3 2 Yes 0.17 Old 27.2 13 Yes 0.69 New 27.1 16 Yes 1.09 Old 94.8

Clinical trials : Medical experiments designed to assess which of two or more treatments is much more effective. It is based on one of the oldest philosophy of the scienti?c resear

(a) You are trying to develop a strategy for investing in two different stocks, Stock A and Stock B. The anticipated annual return for a $1000 investment in each stock under four