Experimental Evidence Concerning Contagious Distributions in Ecology

Evans, D. A.

doi:10.1093/biomet/40.1-2.186

Cited by 125 publications

(18 citation statements)

References 2 publications

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“…For numerical applications, here we consider two real life data sets of which the first data set is the observed distribution of bacterial clumps per field in a milk film taken from Bliss and Fisher [1] and the second data set is the experimental evidence concerning contagious distributions in ecology taken from Evans [3]. We have fitted the LWZD, the ALSD and the ALSD( k ) to these data sets and the results thus obtained along with the corresponding values of the expected frequencies, Chi-square statistic, degrees of freedom (d.f.…”

Section: Applicationsmentioning

confidence: 99%

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

Kumar¹,

Riyaz²

2016

JSTA

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Here we develop an order k version of the alpha-logarithmic series distribution of Kumar and Riyaz (South African Statist. J., 2014) through its probability generating function and derive its probability mass function, mean and variance. The parameters of the model are estimated by the method of maximum likelihood and the distribution has been fitted to certain real life data sets. Certain test procedures are considered for testing the significance of the additional parameters of the distribution. In addition, a simulation study is conducted for assessing the performance of the likelihood estimators of each of the parameters of the model.

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Section: Applicationsmentioning

confidence: 99%

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

Kumar¹,

Riyaz²

2016

JSTA

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“…Various authors have described its properties : in particular, Evans 7 points out that a recurrence relationship exists between the probabilities as follows (in our notation)…”

Section: Imentioning

confidence: 99%

Stuttering Poisson Distributions

Kemp¹

2014

Wiley StatsRef: Statistics Reference Online

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“…Beall(1940) Evans (1953)but it is not as convenient in computing probabilities as is the Negative Binomial. Methods have been devised for simplifying these computations (cf.…”

Section: Say (Q -Plz)mentioning

confidence: 99%

Some Families of Compound and Generalized Distributions

Gurland¹

1963

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Experimental Evidence Concerning Contagious Distributions in Ecology

Cited by 125 publications

References 2 publications

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

The Alpha-Logarithmic Series Distribution of Order ligkl/ig and Some of Its Applications

Stuttering Poisson Distributions

Some Families of Compound and Generalized Distributions

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