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 ?
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.
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).
Wani, Certain Studies on the Structure and Statistics of the Logarithmic Series Distribution and Related Tables, U.
Wani, Maximum Likelihood Estimation for the Complete and Truncated Logarithmic Series Distributions, Sankhya, Series A 27, 281-292 (1965).