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Publications Influence

Distributional properties of Jaccard's index of similarity

- W. McCormick, N. I. Lyons, K. Hutcheson
- Mathematics
- 1992

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

22

Comparing Diversity Indices Based on Counts Weighted by Biomass or Other Importance Values

- N. I. Lyons
- Biology
- The American Naturalist
- 1 September 1981

Several indices have been suggested to measure the diversity of a sample of individuals from an ecological community. Two of the more commonly used indices are Shannon's h = -Y(nJ/N) log (ni/N), and… Expand

18

A stopping rule based on Simpson's index of diversity.

- N. I. Lyons, K. Hutcheson
- Mathematics, Medicine
- Journal of theoretical biology
- 21 April 1979

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

5

Distributional Properties of the Number of Moves Index of Diversity

- N. I. Lyons, K. Hutcheson
- Mathematics
- 1 March 1988

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

2

A Significance Test for Morisita’a Index of Dispersion and the Moments when the Population is Negative Binomial and Poisson

- K. Hutcheson, N. I. Lyons
- Mathematics
- 1989

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

6

Distributional properties of simpson's index of diversity

- N. I. Lyons, K. Hutcheson
- Mathematics
- 1979

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

9

Estimation of Simpson's diversity when counts follow a Poisson distribution

- N. I. Lyons, K. Hutcheson
- Mathematics
- 1 March 1986

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

2

Measures of the Dispersion of a Population Based on Ranks

- N. I. Lyons, K. Hutcheson
- Mathematics
- 1989

Gini’s (1912) coefficient of concentration is recommended as the basis for a significance test to compare the dispersions of two negative binomial populations. The data are assumed to be quadrat… Expand

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