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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
A metal fabrication process uses a die-cast metal fastener at a uniform rate of 300 units per year. Currently, this item is currently purchased from an external supplier at a unit
Glejser test is the test for the heteroscedasticity in the error terms of the regression analysis which involves regressing the absolute values of the regression residuals for the
Leaps-and-bounds algorithm is an algorithm which is used to ?nd the optimal solution in problems which might have a large number of possible solutions. Begins by dividing the poss
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
Maternal mortality : The maternal death is the death of a woman while pregnant, delivering a baby or within 42 days of the termination of pregnancy, from any reason related to or a
Correlation matrix : A square, symmetric matrix with the rows and columns corresponding to the variables, in which the non diagonal elements are correlations between the pairs of t
The number of employees absent from work at a large electronics manufacturing plant over aperiod of 106 days is given in the table below. 146 141 139 140 145 141 142 131 142 140
The phrase first spoken by one of the witches in Macbeth. Now this is used to describe the exponential rise in the number of possible locations in the multivariate space as dimensi
Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 20 to be 115 or more?
Mean squarederror is the expected value of square of the difference between an estimator and the true value of the parameter. If the estimator is unbiased then the mean of the squ
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