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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
with variance given by 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
Artificial neural network : A mathematical arrangement modelled on the human neural network and designed to attack various statistical problems, particularly in the region of patte
the problem that demonstrates inference from two dependent samples uses hypothetical data from TB vaccinations and the number of new cases before and after vaccinations for cases o
Lattice distribution : A class of probability distributions to which most of the distributions for discrete random variables used in statistics belongs. In such type of distributio
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
Kaiser's rule is the rule frequently used in the principal components analysis for selecting the suitable the number of components. When the components are derived from correlati
Laplace distribution : The probability distribution, f(x), given by the following formula Can be derived as the distribution of the difference of two independent random var
A term commonly encountered in the application of the agglomerative hierarchical clustering techniques, where it refers to the 'tree-like' diagram illustrating the series of steps
Item-total correlation is an extensively used method for checking the homogeneity of the scale made up of number of items. It is simply the Pearson's product moment correlation c
Percentile : The set or group of divisions which produce exactly 100 equal parts in the series of continuous values, like blood pressure, height, weight, etc. Hence a person with b
Formal graphical representation of the "causal diagrams" or the "path diagrams" where the relationships are directed but acyclic (that is no feedback relations allowed). Plays an
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