Note on the derivation of fluctuation formulae for statistical assemblies
- 1 July 1937
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 33 (3) , 390-393
- https://doi.org/10.1017/s0305004100019782
Abstract
1. A familiar device in the study of statistical distributions is to form the moment-generating function where the bar denotes averaging over all values of the statistical variate x. The moments μr of x are the coefficients of αr/r!, and the derived coefficients in the expansion of K ≡ log M are termed the semi-invariants kr. In particular, and, for the normal (Gaussian) law, we have the simple formulaThis publication has 1 reference indexed in Scilit:
- The generalised product moment distribution in a normal systemMathematical Proceedings of the Cambridge Philosophical Society, 1933