A note on some asymptotic properties of the logarithmic series distribution

A - Papers appearing in refereed journals

Gower, J. C. 1961. A note on some asymptotic properties of the logarithmic series distribution. Biometrika. 48 (1-2), pp. 212-215. https://doi.org/10.1093/biomet/48.1-2.212

Authors	Gower, J. C.
Abstract	SUMMARYFormulae are given to calculate S(x, R) = ∞Σr−R+1 x7/r9 the remainder term in the logarithmic series, which are valid for high values of R and values of x close to unity. These are of value when dealing with extreme values of the parameters appearing in the logarithmic series distribution such as have arisen in C. B. William's recent study of the possible distribution of the number per species for all the insects in the world. Bounds are given for the errors involved when making the recommended approximations. The calculation of the median of the distribution is also discussed.
Year of Publication	1961
Journal	Biometrika
Journal citation	48 (1-2), pp. 212-215
Digital Object Identifier (DOI)	https://doi.org/10.1093/biomet/48.1-2.212
Open access	Published as bronze (free) open access
Publisher's version	Gower-1961-A-note-on-some-asymptotic-propertie.pdf
ISSN	0006-3444
Publisher	Oxford University Press (OUP)

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