logarithmic series

logarithmic series

[¦läg·ə‚ə‚rith·mik ′sir·ēz]
(mathematics)
The expansion of the natural logarithm of 1t x in a Maclaurin series; namely, x-x 2/2+ x 3/3-⋯.
References in periodicals archive ?
He describes such discrete distributions as binomial, Poisson, and logarithmic series.
We have worked with logarithmic series which is a usual practice to deal with the heteroscedasticity problem of time series.
Johansen cointegration estimation results between logarithmic series of GDP and S[O.
the logarithmic series distribution, with its mixture.
2010, "Ordering comparison of logarithmic series random variables with their mixtures", Communication in Statistics: Theory and Methods, 39,1-12.
The Whittaker plot guided us in deciding about the most appropriate species-abundance model fitting (geometric series, logarithmic series, truncated lognormal and broken stick model).
The adopted species-abundance model were the Logarithmic Series ([chi square] = 10.
The logarithmic series fitted better to communities characterized as being influenced by only one or a few determining factors affecting ecological interactions, with a high proportion of species found to be very uncommon (Magurran, 1988).
9) For Reynolds, logarithmic series "provide a reliable model for accelerating or retarding [formal] dimensions," thus affording him precise control over this aspect of his music.
Reynolds first defines one or more logarithmic series using semi-logarithmic graph paper that features a linear x-axis and a logarithmic y-axis, and enables him to create logarithmic series simply by drawing straight lines of varying slope across the paper; a numerical value derived in this manner corresponds to a sectional duration of that many seconds.
Patil, Some Methods of Estimation for the Logarithmic Series Distribution, Biometrics 18, 68-75 (1962).
The log-normal and the logarithmic series patterns are discussed as predictions of a variety of theories and repeatedly seen in nature.