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A test for comparing diversities based on the Shannon formula.
- K. Hutcheson
- Biology, Medicine
- Journal of theoretical biology
- 1 October 1970
COMMENTS ON THE DISTRIBUTION OF INDICES OF DIVERSITY.
Distributional properties of Jaccard's index of similarity
The distribution of Jaccard’s coefficient of similarity is shown to be asymptotically normal when the individuals in samples from each population are assumed to follow equiprobable multinomial… Expand
A stopping rule based on Simpson's index of diversity.
Abstract The covariance between two estimators of Simpson's index of diversity, D , obtained from cumulated samples at two stages of the sampling process is derived. A stopping rule based on a… Expand
Some moments of an estimate of shannon's measure of information
An underlying multinomial distribution is assumed and from this the first two moments of an estimate of Shannon's measure of information are derived in closed form. A table of the first two moments… Expand
Distributional Properties of the Number of Moves Index of Diversity
The large-sample distribution of the number of moves index of diversity is shown to be approximately normal under the general assumption of asymptotic normality of the species frequencies. Its… Expand
A Significance Test for Morisita’a Index of Dispersion and the Moments when the Population is Negative Binomial and Poisson
The moments of Morisita’s index of dispersion are derived assuming the observed counts follow negative binomial and Poisson distributions. The moments are expressed as truncated infinite series.… Expand
Distributional properties of simpson's index of diversity
Closed expressions for the first four moments of Simpson's index of diversity are derived using techniaues suggested by Haldane (1937). As the samole size increases the behavior of the skewness and… Expand
Estimation of Simpson's diversity when counts follow a Poisson distribution
Most of the exact distributional properties available for Gini's (1912) index of diversity [more commonly referred to as Simpson's (1949) index] are derived assuming an underlying multinomial… Expand