Handbook of the Normal Distribution, 2nd Edition.

Accelerating secure circuit design with hardware implementation of Diehard Battery of tests of randomness

“…These tests count the number of missing words in a sequence of 2 21 The number of missing words (j) should be very close to normal distribution data [6].…”

“…If the sequence under test is in fact non-random, the calculated test result will fall in extreme regions of the reference distribution. The comparison between the obtained value from the test and the expected value for random assumption is made applying standard normal distribution [6] and others statistical functions. One of them is Chi-square ²) with corresponds to a chi-square distribution, and other one is the covariance matrix for Overlapping 5-Permutation and Count-the-1's tests.…”

Bootstrap Confidence Intervals for Costs-of-Illness of Type 2 Diabetes Mellitus in Germany

“…Furthermore, there is no information on a possible dependence structure. Theoretical assumptions involved in the application of central limit theorems [10], which are essential for a direct statistical approach, are not met. Moreover, the weights, p j , are estimates from our prestudy and are therefore considered as random as is the estimated m j .…”

Tables Related to the Normal Distribution

“…Extensive listings were given by Fletcher, Miller, Rosenhead, and Comrie (1962) and Greenwood and Hartley (1962); see also Johnson, Kotz, and Balakrishnan (1994) and Patel and Read (1996). Extensive listings were given by Fletcher, Miller, Rosenhead, and Comrie (1962) and Greenwood and Hartley (1962); see also Johnson, Kotz, and Balakrishnan (1994) and Patel and Read (1996).…”