A HISTORICAL SKETCH AND SOME NEW RESULTS ON THE IMPROVED LOG LIKELIHOOD RATIO STATISTIC

In the first part we discuss the known results concerning the reductio n of the error of the chi-squared approximation when using the Bartlet t adjusted log likelihood ratio statistic. In the second part we state some new results for the case where the first four log likelihood der ivatives have both continuous and lattice variables. The latter result s are of interest for example in connection with censored life times a nd in logistic regression. Finally, in the last section we discuss how to perform the algebraic manipulations using REDUCE.