Voir la notice de l'article provenant de la source Math-Net.Ru
@article{DM_2023_35_1_a6, author = {M. P. Savelov}, title = {Limit joint distribution of {<<Monobit} test>>, {<<Frequency} {Test} within a {Block>>,} and {<<Serial} {Test>>} {Statistics}}, journal = {Diskretnaya Matematika}, pages = {88--106}, publisher = {mathdoc}, volume = {35}, number = {1}, year = {2023}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/DM_2023_35_1_a6/} }
M. P. Savelov. Limit joint distribution of <>, < >, and < > Statistics. Diskretnaya Matematika, Tome 35 (2023) no. 1, pp. 88-106. http://geodesic.mathdoc.fr/item/DM_2023_35_1_a6/
[1] Rukhin A., Soto J., Nechvatal J., Smid M., Barker E., Leigh S., Levenson M., Vangel M., Banks D., Heckert A., Dray J., Vo S., “A statistical test suite for random and pseudorandom number generators for cryptographic applications”, NIST Special Publication 800-22, Revision 1a, April 2010
[2] Serov A. A., “Formuly dlya chisel posledovatelnostei, soderzhaschikh zadannyi shablon zadannoe chislo raz”, Diskretnaya matematika, 32:4 (2020), 120–136
[3] Zubkov A. M., Serov A. A., “A natural approach to the experimental study of dependence between statistical tests”, Matem. vopr. kriptogr., 12:1 (2021), 131–142 | MR
[4] Zubkov A. M., Serov A. A., “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Matem. vopr. kriptogr., 10:2 (2019), 89–96 | MR
[5] Zaman J. K. M. S. , Ghosh R., “Review on fifteen statistical tests proposed by NIST”, J. Theor. Phys. Cryptography, 1 (2012), 18–31
[6] Sulak F., Doǧanaksoy A., Uǧuz M., Koçak O., “Periodic template tests: A family of statistical randomness tests for a collection of binary sequences”, Discrete Applied Mathematics, 271 (2019), 191–204 | DOI | MR
[7] Soto J., Bassham L., Randomness testing of the Advanced Encryption Standard finalist candidates, NIST IR 6483, Nat. Inst. Stand. Technol., 2000
[8] Sulak F., Uǧuz M., Koçak O., Doǧanaksoy A., “On the independence of statistical randomness tests included in the NIST test suite”, Turkish J. Electr. Eng. $\$ Comput. Sci., T., 25:5 (2017), 3673–3683 | DOI | MR
[9] Georgescu C., Simion E., “New results concerning the power of NIST randomness tests”, Proc. Romanian acad., ser. A., 18 (2017), 381–388 | MR
[10] Iwasaki A., Umeno K., “Randomness test to solve Discrete Fourier Transform Test problems”, IEICE Trans. Fundam. Electronics, Commun. Comput. Sci., E101.A:8 (2018), 1204–1214 | DOI
[11] Burciu P., Simion E., “A systematic approach of NIST statistical tests dependencies”, J. Electr. Eng., Electronics, Control and Comput. Sci., 5:15 (2019), 1–6
[12] Rukhin A. L., “Testing randomness: a suite of statistical procedures”, Teor. Veroyatnost. i Primenen., 45:1 (2000), 137—162 | DOI | MR
[13] Ryabko B. Ya., Pestunov A. I., “«Stopka knig» kak novyi statisticheskii test dlya sluchainykh chisel”, Probl. peredachi inform., 40:1 (2004), 73–78 | MR
[14] Maltsev M. V., Kharin Yu. S., “O testirovanii vykhodnykh posledovatelnostei kriptograficheskikh generatorov na osnove tsepei Markova uslovnogo poryadka”, Informatika, 4 (2013), 104–111
[15] Savelov M. P., “Predelnye sovmestnye raspredeleniya statistik chetyrekh kriteriev paketa NIST”, Diskretnaya matematika, 33:2 (2021), 141–154
[16] Savelov M. P., “Predelnye sovmestnye raspredeleniya statistik trekh kriteriev paketa NIST”, Diskretnaya matematika, 33:3 (2021), 92–106
[17] Savelov M. P., “Predelnaya teorema dlya sglazhennogo varianta spektralnogo kriteriya ravnoveroyatnosti dvoichnoi posledovatelnosti”, Diskretnaya matematika, 33:4 (2021), 132–140
[18] Savelov M. P., “Predelnoe sovmestnoe raspredelenie statistik kriteriev «Monobit test», «Frequency Test within a Block» i «Test for the Longest Run of Ones in a Block»”, Diskretnaya matematika, 34:3 (2022), 70–84
[19] Savelov M. P., “Predelnoe sovmestnoe raspredelenie statistik kriteriev «Monobit test», «Frequency Test within a Block» i «Binary Matrix Rank Test»”, Diskretnaya matematika, 34:4 (2022), 84–98 | MR
[20] Good I. J., “The serial test for sampling numbers and other tests for randomness”, Proc. Camb. Phil. Soc., 49:2 (1953), 276–284 | DOI | MR
[21] Good I. J., Gover T. N., “The generalized serial test and the binary expansion of $\sqrt{2}$”, J. Roy. Statist. Soc. Ser. A, 130:1 (1967), 102–107 | DOI
[22] Billingsli P., Skhodimost veroyatnostnykh mer, perev. s angl., «Nauka», M., 1977, 352 pp.
[23] Petrov V. V., “Ob usilennom zakone bolshikh chisel dlya posledovatelnosti neotritsatelnykh sluchainykh velichin”, Teoriya veroyatn. i ee primen., 53:2 (2008), 379–382
[24] Stepanov V. E., “Nekotorye statisticheskie kriterii dlya tsepei Markova”, Teoriya veroyatn. i ee primen., 2:1 (1957), 143–144