Summary
The mean and variance of — 2 In A for the multinomial distribution are derived in closed form. A comparison is made betweenSchaffer's [1957] approximations to the moments and the exact moments for varying sample size.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Hardy, G.H.: On the Frullanian Integral. Quart. J. Math.33, 1901–1902, 113–44.
Hutcheson, K., andL.R. Shenton: Some moments of an estimate of Shannon's measure of information. Commun. in Statist.3 (1), 1974, 89–94.
Schaffer, K.A.: The likelihood test for fit. Mittbl. Math. Statistic.9, 1957, 27–54.
Sugg, M.N., andK. Hutcheson: Gauss-Krawtchouk quadrature approximation for the moments of multinomial type distributions. Biometrika63, 1976, 396–400.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hutcheson, K., Lyons, N.I. The mean and variance of the likelihood ratio criterion for the multinomial distribution. Metrika 26, 57–61 (1979). https://doi.org/10.1007/BF01893470
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01893470