메뉴 건너뛰기




Volumn 66, Issue 217, 1997, Pages 363-372

Average equidistribution properties of compound nonlinear congruential pseudorandom numbers

Author keywords

Average behavior; Compound nonlinear congruential method; Discrepancy; Equidistribution of subsequences; Incomplete exponential sums; Uniform pseudorandom numbers

Indexed keywords


EID: 0031541595     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-97-00802-8     Document Type: Article
Times cited : (3)

References (13)
  • 1
    • 84968494194 scopus 로고
    • An estimate concerning the Kolmogoroff limit distribution
    • MR 11:606c
    • K.L. Chung, An estimate concerning the Kolmogoroff limit distribution, Trans. Amer. Math. Soc. 67 (1949). 36-50. MR 11:606c
    • (1949) Trans. Amer. Math. Soc. , vol.67 , pp. 36-50
    • Chung, K.L.1
  • 2
    • 0001512119 scopus 로고
    • Inversive congruential pseudorandom numbers: A tutorial
    • J. Eichenauer-Herrmann. Inversive congruential pseudorandom numbers: a tutorial, Int. Statist. Rev. 60 (1992), 167-176.
    • (1992) Int. Statist. Rev. , vol.60 , pp. 167-176
    • Eichenauer-Herrmann, J.1
  • 3
    • 0001764482 scopus 로고
    • Equidistribution properties of nonlinear congruential pseudorandom numbers
    • MR 95a:65018
    • _, Equidistribution properties of nonlinear congruential pseudorandom numbers, Metrika 40 (1993), 333-338. MR 95a:65018
    • (1993) Metrika , vol.40 , pp. 333-338
  • 4
    • 0011408984 scopus 로고
    • Compound nonlinear congruential pseudorandom numbers
    • MR 96f:11099
    • _, Compound nonlinear congruential pseudorandom numbers. Monatsh. Math. 117 (1994), 213-222. MR 96f:11099
    • (1994) Monatsh. Math. , vol.117 , pp. 213-222
  • 5
    • 21844504838 scopus 로고
    • Pseudorandom number generation by nonlinear methods
    • _, Pseudorandom number generation by nonlinear methods. Int. Statist. Rev. 63 (1995). 247-255.
    • (1995) Int. Statist. Rev. , vol.63 , pp. 247-255
  • 6
    • 0000094459 scopus 로고
    • A unified approach to the analysis of compound pseudorandom numbers
    • MR 96h:11075
    • _, A unified approach to the analysis of compound pseudorandom numbers. Finite Fields and Their Appl. 1 (1995). 102-114. MR 96h:11075
    • (1995) Finite Fields and Their Appl. , vol.1 , pp. 102-114
  • 7
    • 0029684598 scopus 로고    scopus 로고
    • Average behaviour of compound nonlinear congruential pseudorandom numbers
    • CMP 96:07
    • J. Eichenauer-Herrmann and G. Larcher. Average behaviour of compound nonlinear congruential pseudorandom numbers. Finite Fields and Their Appl. 2 (1996). 111-123. CMP 96:07
    • (1996) Finite Fields and Their Appl. , vol.2 , pp. 111-123
    • Eichenauer-Herrmann, J.1    Larcher, G.2
  • 9
    • 0001098940 scopus 로고
    • Statistical independence of nonlinear congruential pseudorandom numbers
    • MR 89j:11079
    • H. Niederreiter, Statistical independence of nonlinear congruential pseudorandom numbers, Monatsh. Math. 106 (1988), 149-159. MR 89j:11079
    • (1988) Monatsh. Math. , vol.106 , pp. 149-159
    • Niederreiter, H.1
  • 10
    • 0011507326 scopus 로고
    • Recent trends in random number and random vector generation
    • MR 92h:65010
    • _, Recent trends in random number and random vector generation, Ann. Operations Res. 31 (1991). 323-345. MR 92h:65010
    • (1991) Ann. Operations Res. , vol.31 , pp. 323-345
  • 11
    • 0011408985 scopus 로고
    • Nonlinear methods for pseudorandom number and vector generation
    • Simulation and Optimization (G. Pflug and U. Dieter. eds.), Springer, Berlin
    • _, Nonlinear methods for pseudorandom number and vector generation, Simulation and Optimization (G. Pflug and U. Dieter. eds.), Lecture Notes in Econom. and Math. Systems, vol. 374, Springer, Berlin, 1992, pp. 145-153.
    • (1992) Lecture Notes in Econom. and Math. Systems , vol.374 , pp. 145-153
  • 13
    • 0002684849 scopus 로고
    • Finite fields, pseudorandom numbers, and quasirandom points
    • (G.L. Mullen and P.J.-S. Shiue, eds.). Dekker. New York, MR 94a:11121
    • _, Finite fields, pseudorandom numbers, and quasirandom points. Finite Fields, Coding Theory, and Advances in Communications and Computing (G.L. Mullen and P.J.-S. Shiue, eds.). Dekker. New York, 1993, pp. 375-394. MR 94a:11121
    • (1993) Finite Fields, Coding Theory, and Advances in Communications and Computing , pp. 375-394


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.