Keener, Robert W.; Robinson, John; Weber, Neville C. - In: Statistics & Probability Letters 37 (1998) 1, pp. 59-65
Let Un be a second-degree, nondegenerate, zero mean U-statistic with a bounded kernel, scaled so that Un/[radical sign]n => N(0, [sigma]2). Large deviation approximations are developed for tail probabilities P(Un > x[radical sign]n) using a new explicit tilting procedure.