A Test of Tippett's Random Sampling Numbers

A statistical study of randomness among the first 10,000 digits of 𝜋

“…This is the same as the one given in Table I of reference [11]. The mean value of i is 22.5 and its standard deviation is (41.25)us = 6.4226.…”

“…This test, as applied here, consists in taking the sum of the five digits comprising a (poker) hand as the variable, denoted by the symbol i, say, and comparing its distribution over the various hands with the one expected theoretically. The latter may be obtained in an elegant manner as follows (refer to the alternative approach of Yule [11]). …”

“…License or copyright restrictions may apply to redistribution; see https://www.ams.org/journal-terms-of-use test) [11] to the first 10,000 digits of x.f The value investigated here is the one computed by Genuys [13] using the formula _f.…”

Random number datasets generated from statistical analysis of randomly sampled GSM recharge cards

“…Furthermore, the data will not be found to follow any observed pattern(s). See [2], [3], [4], [5], [6], [7], [8], [9], [10] for details on other methodologies and results. The choice of using the used recharge cards of GSM network operator was based on the fact that their recharge cards are produced by strong computational algorithms that are programmed to generate random digits and numbers.…”

A History of Distribution Sampling Prior to the Era of the Computer and its Relevance to Simulation

“…-, 9 to test Tippett's digits for randomness and did not find any evidence of nonrandomness. Yule (1938) suspected Tippett's digits of being "patchy." To test this "hypothesis," he added sequences of five digits at a time going down column by column, page by page.…”