Arif Zaman

Arif Zaman
Alma materStanford University[2]
Harvey Mudd College
Claremont Graduate University
Known forContributions in pseudo-random number generation and his contribution to the field of Computer science
Scientific career
FieldsMathematics
InstitutionsPurdue University[1]
Florida State University
Lahore University of Management Sciences
Doctoral advisorPersi Diaconis
Other academic advisorsJerome Spanier

Arif Zaman is a Pakistani mathematician and retired professor of Statistics and Mathematics at the Syed Babar Ali School of Science and Engineering, Lahore University of Management Sciences (LUMS) in Lahore, Pakistan, where he served from 1994 to 2017.[3] He is known for his contributions to pseudorandom number generation, particularly the co-development of add-with-carry and subtract-with-borrow generators with George Marsaglia.[4] His doctoral dissertation, supervised by Persi Diaconis, was titled Finite Forms of de Finetti's Theorem for Markov Chains.[5][6] Before joining LUMS, he served in the Statistics departments at Purdue University and Florida State University.[5]

Early life and education

Zaman attended Harvey Mudd College, where he completed his B.S. in Mathematics in 1976.[7] He received an M.A. in Applied Mathematics in 1977 at the Claremont Graduate School, and his PhD in Statistics at Stanford University in 1981.[7] In his doctoral thesis, he studied de Finetti's theorem and its possible turn out in Markov chain.[clarification needed] His dissertation was supervised by Persi Diaconis.[8]

Research

Zaman's most influential work is in the field of pseudorandom number generation. In collaboration with George Marsaglia, he developed the add-with-carry and subtract-with-borrow classes of generators, which offer very long periods and good statistical properties.[4][9][10] These generators have been widely implemented in computing and Monte Carlo simulations.

His other research includes work on exchangeability in Markov chains and applications in ecological statistics.[11][12]

As of 2025, Zaman's works have received over 2,000 citations.[13]

Selected works

References

  1. ^ "Statistics - 40 year celebration - Purdue University".
  2. ^ "Alumni 1981-1982, Dept. of Statistics, Stanford University". Retrieved 28 June 2010.
  3. ^ "Stories of Change: How I came to Islam by Dr. Arif Zaman". Naseeha Institute (via YouTube). May 17, 2020. Retrieved December 14, 2025.
  4. ^ a b Marsaglia, George; Zaman, Arif (1991). "A new class of random number generators". Annals of Applied Probability. 1 (3): 462–480. doi:10.1214/aoap/1177005878.
  5. ^ a b "Arif Zaman". Mathematics Genealogy Project. Retrieved December 14, 2025.
  6. ^ Zaman, Arif (1984). "An Approximation Theorem for Finite Markov Exchangeability". Annals of Probability. 12 (1): 223–229. doi:10.1214/aop/1176993384.
  7. ^ a b "Arif Zaman". Arif Zaman, Professor of Mathematics and Statistics. 19 November 2007. Archived from the original on 28 May 2010. Retrieved 28 June 2010.
  8. ^ Arif Zaman at the Mathematics Genealogy Project
  9. ^ Marsaglia, George; Zaman, Arif; Tsang, Wai Wan (1990). "Toward a universal random number generator". Statistics & Probability Letters. 9 (1): 35–39. doi:10.1016/0167-7152(90)90092-6.
  10. ^ Marsaglia, George; Zaman, Arif (1993). "Monkey tests for random number generators". Computers & Mathematics with Applications. 26 (9): 1–10. doi:10.1016/0898-1221(93)90002-B.
  11. ^ Zaman, Arif (1984). "An Approximation Theorem for Finite Markov Exchangeability". Annals of Probability. 12 (1): 223–229. doi:10.1214/aop/1176993384.
  12. ^ Simberloff, Daniel; Zaman, Arif (2002). "Random Binary Matrices in Biogeographical Ecology—Instituting a Good Neighbor Policy". Environmental and Ecological Statistics. 9: 405–421. doi:10.1023/A:1021380323055.
  13. ^ "Arif Zaman". Google Scholar. Retrieved December 14, 2025.
allikas: https://en.wikipedia.org/wiki/Arif_Zaman