The Fit and Significance of Contagious Distributions when Applied to Observations on Larval Insects

Beall, Geoffrey

doi:10.2307/1930285

Cited by 80 publications

(42 citation statements)

References 2 publications

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“…Two examples of observed datasets, for which the PD, PLD and PGD has been fitted, are presented. The first data-set is due to Kemp and kemp [9] regarding the distribution of mistakes in copying groups of random digits and the second data-set is due to Beall [10] regarding the distribution of Pyrausta nublilalis.…”

Section: Applicationsmentioning

confidence: 99%

The Discrete Poisson-Garima Distribution

Shanker¹

2017

BBIJ

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In this paper, a discrete Poisson-Garima distribution has been obtained by compounding Poisson distribution with Garima distribution introduced by Shanker [1]. The general expression for the th factorial moment has been derived and hence moments about origin and central moments have been obtained. The expression for coefficient of Variation, skewness, kurtosis and index of dispersion has been given. Maximum likelihood estimation and the method of moments have been discussed for estimating the parameter of the distribution. Two examples of real data set have been given to test the goodness of fit of the discrete PoissonGarima distribution and the fit has been compared with Poisson and PoissonLindley distributions.

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Section: Applicationsmentioning

confidence: 99%

The Discrete Poisson-Garima Distribution

Shanker¹

2017

BBIJ

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“…To illustrate the goodness of fit by the modified forms of the Borel distribution we consider the data on the European Corn-borers Pyrausta nubilalis collected by Beall in 1940. Table I gives the observed frequencies along with expected frequencies as obtained by modified Borel distribution (2.1).…”

Section: Goodness Of Fitmentioning

confidence: 99%

“…Observed and expected frequencies of Pyrausta nubilulis (data ofBeall, 1940) by modified Borel and other distributions =0.7500. 0 =0.410714, 1=0.452381 Sourcc.…”

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confidence: 95%

Modified borel distributions†

Gupta

Jain

1979

Journal of Statistical Computation and Simulation

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Modified forms of the Borel distribution are fitted to the distribution of organisms in the following cases: (1) Empty colonies, i.e. zero class, are included in the samples; (2) some of the colonies with one organism have been included in the zero class; and (3) empty colonies and some colonies with one organism have been left out.KEY WORDS: Contagious distributions, compound Poisson, growth of organisms, over and under dispersion, zero class, goodness of fit.

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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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The Fit and Significance of Contagious Distributions when Applied to Observations on Larval Insects

Cited by 80 publications

References 2 publications

The Discrete Poisson-Garima Distribution

The Discrete Poisson-Garima Distribution

Modified borel distributions†

Some Families of Compound and Generalized Distributions

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