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Topic: Skellam distribution

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	UTS Blog
		Kurtosis - Used to compare the distribution with a normal distribution, kurtosis is an indication of the “peakedness” of the resulting distribution.
		The results from each distribution are ranked and the ranks summed to form a score.
		A plot of the best-fitting cumulative distribution is shown along with the actual data.
	uts-inc.blogspot.com (4076 words)

	Normal Distribution Encyclopedia Article @ Ordinarily.org (Site not responding. Last check: 2007-10-12)
		The fundamental importance of the normal distribution as a model of quantitative phenomena in the natural and behavioral sciences is due to the central limit theorem (the proof of which requires rather advanced undergraduate mathematics).
		The normal distribution also arises in many areas of statistics: for example, the sampling distribution of the mean is approximately normal, even if the distribution of the population the sample is taken from is not normal.
		The normal distribution was first introduced by Abraham de Moivre in an article in 1734 (reprinted in the second edition of his The Doctrine of Chances, 1738) in the context of approximating certain binomial distributions for large n.
	www.ordinarily.org /encyclopedia/Normal_distribution (4070 words)

	Chi-square Encyclopedia Article @ Ordinarily.net (Site not responding. Last check: 2007-10-12)
		The best-known situations in which the chi-square distribution is used are the common chi-square tests for goodness of fit of an observed distribution to a theoretical one, and of the independence of two criteria of classification of qualitative data.
		It enters the problem of estimating the mean of a normally distributed population and the problem of estimating the slope of a regression line via its role in Student's t-distribution.
		It enters all analysis of variance problems via its role in the F-distribution, which is the distribution of the ratio of two independent chi-squared random variables divided by their respective degrees of freedom.
	www.ordinarily.net /encyclopedia/Chi-square (717 words)

	Probability_distribution info here at en.articles-on-parenting.info (Site not responding. Last check: 2007-10-12)
		It is the Zipf distribution for an emblem of elements.
		The logarithmic spreading (continuous) The triangular distribution on [a, b], a special canister of which is the spreading of the sum of two uniformly distributed random variables (the convolution of two uniform distributions).
		The Pearson Type III distribution (see Pearson distributions) The Rayleigh distribution The Rayleigh mixture distribution The Rice distribution The type-2 Gumbel distribution The Wald distribution The Weibull distribution, of which the exponential spreading is a special case, is used to exemplary the course of professional devices.
	en.articles-on-parenting.info /Probability_distribution (1847 words)

	Probability distribution - Wikipedia, the free encyclopedia
		A probability distribution is a special case of the more general notion of a probability measure, which is a function that assigns probabilities satisfying the Kolmogorov axioms to the measurable sets of a measurable space.
		The rectangular distribution is a uniform distribution on [-1/2,1/2].
		The F-distribution, which is the distribution of the ratio of two (normalized) chi-square distributed random variables, used in the analysis of variance.
	en.wikipedia.org /wiki/Probability_distribution (1460 words)

	ScienceDaily: Probability distribution
		In mathematics and statistics, a probability distribution, more properly called a probability density, assigns to every interval of the real numbers a probability, so that the probability axioms are satisfied.
		Probability distribution -- In mathematics and statistics, a probability distribution, more properly called a probability density, assigns to every interval of the real numbers a probability, so that the probability axioms are...
		Uniform distribution (continuous) -- In mathematics, the continuous uniform distributions are probability distributions such that all intervals of the same length are equally probable.
	www.sciencedaily.com /encyclopedia/Probability_distribution (2654 words)

	[No title] (Site not responding. Last check: 2007-10-12)
		\bibitem{roughgarden} Roughgarden, J., Patchiness in the spatial distribution of a population caused by stochastic fluctuations in resources, {\it Oikos, 29}, 52-59, 1977.
		\bibitem{skellam} Skellam, J.G., Random dispersal in theoretical populations, {\it Biometrika, 38}, 196-218, 1951.
		\bibitem{thomas} Thomas, C.D., J.A. Thomas, and M.S. Warren, Distributions of occupied and vacant butterfly habitats in fragmented landscapes, {\it Oecologia, 92}, 563-567, 1992.
	geomorphology.geo.arizona.edu /biblio/populationvarspeciesarea (2220 words)

	Skellam distribution - Wikipedia, the free encyclopedia
		The Skellam distribution is the discrete probability distribution of the difference K
		Notice that the form of the generating function implies that the distribution of the sums or the differences of any number of independent Skellam-distributed variables are again Skellam-distributed.
		Skellam • uniform • Yule-Simon • zeta • Zipf • Zipf-Mandelbrot
	en.wikipedia.org /wiki/Skellam_distribution (598 words)

	[No title]
		The noncentral F distribution is the ratio % of a non-central chi-square distribution with d1 degrees of freedom and non-centrality % parameter lambda and a central chi-square distribution with degrees of freedom parameter % d2.
		Wald distribution is a special case of The Inverse Gaussian distribution % where the mean is a constant with the value one.
		V is distributed as a chi-square random variable with % one degree of freedom.
	www.maths.tcd.ie /~donmoore/matlab/randraw.m (3327 words)

	[No title]
		To quantify the relative effects of landscape structure and composition on the distribution of distance moved I partitioned the variance in kurtosis measured at the end of the simulation (excluding the homogeneous landscapes).
		Skellam, J. The formulation and interpretation of mathematical models of diffusionary processes in population biology in M. Barlett, and R. Hiorns, eds.
		Values for the kurtosis of the distribution of movement distance at the end of simulations of individuals moving in landscapes with different structure and composition, and for different boundary reactions.
	hydrodictyon.eeb.uconn.edu /people/jmorales/download/kurtosis.doc (3382 words)

	Diffusion Models (Site not responding. Last check: 2007-10-12)
		Skellam (1951) combined diffusion equation in a 2-dimensional space with exponential local population growth:
		Skellam's model predicts that if a population was released at a single point, then its spatial distribution will be a 2-dimensional normal distribution:
		One of the most interesting features of this model is that it predicts the asymptotic rate of expansion of population front.
	www.gypsymoth.ento.vt.edu /~sharov/PopEcol/lec12/diffus.html (297 words)

	Simulation of mate finding behaviour in pine shoot beetles, Tomicus piniperda (Site not responding. Last check: 2007-10-12)
		A more realistic model of animal movement in all possible directions was diagrammed by Skellam (1973) for use in dispersal studies, but was not implemented by computer.
		The angular distribution would also probably be influenced by the `roughness' of the bark, a rougher bark causing more detours.
		Skellam, J. The formulation and interpretation of mathematical models of diffusionary processes in population biology.
	www.wcrl.ars.usda.gov /cec/papers/anbeh91.htm (6161 words)

	Home range analysis using a mechanistic home range model Ecology - Find Articles
		The relationship between patterns of space use and the spatial and temporal distribution of resources (Brown and Orians 1970), as well as the consequences for social organization (Rubenstein, and Wrangham 1986), mating systems (Clutton-Brock 1989) and demography (Clutton-Brock and Albon 1985) have all been subjects of considerable theoretical and empirical interest.
		The origins of mechanistic models for animal movement lie in the mathematical analysis of correlated random walks, in which individual motion is characterized as a sequence of movements at different speeds, orientations, and turning frequencies.
		Scent marking patterns also vary, both in density and spatial distribution, from cases where scent marks are found mostly in the interior of the home range to cases where the scent marks are concentrated into peaks along home range boundaries (Moorcroft 1997).
	www.findarticles.com /p/articles/mi_m2120/is_5_80/ai_55438276 (855 words)

	Target Site Specificity of the Tos17 Retrotransposon Shows a Preference for Insertion within Genes and against ...
		The percentages of GC for 1-kb windows centered on 20,458 insertion points were calculated, and the frequency distribution was plotted in red.
		To generate a frequency distribution for protein kinase and defense-related genes (pink line), each 1-kb fragment of the rice genomic sequences was searched by BLASTX against an amino acid data set containing records of protein kinase and disease resistance genes.
		Hopkins, B., and Skellam, J.G. A new method for determining the type of distribution of plant individuals.
	www.plantcell.org /cgi/content/full/15/8/1771 (6141 words)

	Technical Papers
		Cernoff, H. “On the distribution of the likelihood ratio.” Ann.
		Griffiths, D.A. “Maximum Likelihood Estimation for the Beta-binomial Distribution and an Application to the Household Distribution of the Total Number of Cases of a Disease.” Biometrics 29:37–48.
		Skellam, J.G. “A Probability Distribution Derived from the Binomial Distribution by Regarding the Probability of Success as Variable between the Sets of Trials.” J.
	www.cytel.com /products/egret/techpapers.asp (1212 words)

	Ioannis Ntzoufras Publications Page (Site not responding. Last check: 2007-10-12)
		This distribution is used for hypothesis testing under both classical and Bayesian framework.
		The derived distribution is shown to be the same to the one derived for the difference of the independent Poisson counts, thus recasting interest on the distribution introduced by Skellam (1946).
		Using this distribution we remove correlation, which naturally exists on paired data, and we improve the quality of our inference since we use exact distributions instead of normal approximationsEstimation procedures based on the Bayesian theory are presented and discussed in detail.
	stat-athens.aueb.gr /~jbn/papers/paper11.htm (205 words)

	Newsletter Volume 27, No. 1 (79) 2003
		Bulletin No. 1 has been distributed and, as well as a mass of information, contains pre-registration forms.
		We are also in the process of compiling a cumulative list of ISI members starting at the founding of the ISI, for distribution at the Berlin ISI Session.
		Last but not least, I would like to announce my decision to resign as the Director of the Permanent Office and Secretary/Treasurer of the ISI after the Berlin Session in August of this year.
	isi.cbs.nl /NLet/NLet031.htm (2424 words)

	Real, Leslie A.: Foundations of Ecology
		The Role of Theory in the Rise of Modern Ecology
		The Canonical Distribution of Commonness and Rarity, Part I
		The Influence of Interspecific Competition and Other Factors on the Distribution of the Barnacle Chthamalus stellatus
	www.press.uchicago.edu /cgi-bin/hfs.cgi/00/7301.ctl (686 words)

	Biometrika -- Table of Contents (December 1952, 39 [3-4])
		To see one abstract at a time, click its [Abstract] link.
		N. Approximations to the probability integral of the distribution of range
		D. A note on ‘The estimation of the parameters of tolerance distributions’
	biomet.oxfordjournals.org /content/vol39/issue3-4 (219 words)

	Biometrika -- Table of Contents (June 1958, 45 [1-2])
		H. An empirical investigation into the distribution of the F-ratio in samples from two non-normal populations
		C. Interval estimation for the parameter of a binomial distribution
		A. Further critical values for the sum of two variances
	biomet.oxfordjournals.org /content/vol45/issue1-2/index.dtl (270 words)

	Univariate Discrete Distributions, 3rd Edition:0471272469:Norman L. Johnson (University of North Carolina, Chapel Hill ... (Site not responding. Last check: 2007-10-12)
		Univariate Discrete Distributions, 3rd Edition:0471272469:Norman L. Johnson (University of North Carolina, Chapel Hill); Adrienne W. Kemp (University of St Andrews, Scotland); Samuel Kotz (George Washington University, Washington, DC):eCampus.com
		Continuous Univariate Distributions, 2nd Edition, Volume 1, 2nd Edition
		Advances in the Theory and Practice of Statistics: A Volume in Honor of Samuel Kotz
	www.ecampus.com /bk_detail.asp?isbn=0471272469 (243 words)

	Description of randraw (Site not responding. Last check: 2007-10-12)
		EFFICIENT RANDOM VARIATES GENERATOR See alphabetical list of the supported distributions below (over 50 distributions) 1) randraw presents general help.
		2) randraw(distribName) presents help for the specific distribution defined by usage string distribName (see table below).
		3) Y = randraw(distribName, distribParams, sampleSize); returns array Y of size = sampleSize of random variates from distribName distribution with parameters distribParams Example: Y = randraw('poisson',7,5000); hist(Y,50) ALPHABETICAL LIST OF THE SUPPORTED DISTRIBUTIONS: ____________________________________________________________________
	white.stanford.edu /~brian/ISET-Manual/ISET-1.0/utility/randraw.html (80 words)

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