Arif Zaman is a Pakistani

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

, academic scientist, and a retired professor of

Statistics Statistics (from German language, German: ''wikt:Statistik#German, Statistik'', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of ...

and

Mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

from Syed Babar Ali School of Science and Engineering,

Lahore University of Management Sciences Lahore University of Management Sciences (LUMS) () is a private research university, located in Lahore, Punjab, Pakistan. In 1983, Syed Babar Ali, a renowned businessman in Pakistan, recognized the shortage of qualified managers in the co ...

(LUMS),

Lahore Lahore ( ; pnb, ; ur, ) is the second most populous city in Pakistan after Karachi and 26th most populous city in the world, with a population of over 13 million. It is the capital of the province of Punjab where it is the largest city. ...

Pakistan Pakistan ( ur, ), officially the Islamic Republic of Pakistan ( ur, , label=none), is a country in South Asia. It is the world's List of countries and dependencies by population, fifth-most populous country, with a population of almost 24 ...

. Before joining LUMS in 1994, he also served in the Statistics Department at

Purdue University Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money ...

and at

Florida State University Florida State University (FSU) is a public research university in Tallahassee, Florida. It is a senior member of the State University System of Florida. Founded in 1851, it is located on the oldest continuous site of higher education in the st ...

. Zaman attended

Harvey Mudd College Harvey Mudd College (HMC) is a private college in Claremont, California, focused on science and engineering. It is part of the Claremont Colleges, which share adjoining campus grounds and resources. The college enrolls 902 undergraduate students ...

, where he completed his

B.S. A Bachelor of Science (BS, BSc, SB, or ScB; from the Latin ') is a bachelor's degree awarded for programs that generally last three to five years. The first university to admit a student to the degree of Bachelor of Science was the University ...

in Mathematics in 1976. He received an

M.A. A Master of Arts ( la, Magister Artium or ''Artium Magister''; abbreviated MA, M.A., AM, or A.M.) is the holder of a master's degree awarded by universities in many countries. The degree is usually contrasted with that of Master of Science. Tho ...

Applied Mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...

in 1977 at the

Claremont Graduate School The Claremont Graduate University (CGU) is a private, all-graduate research university in Claremont, California. Founded in 1925, CGU is a member of the Claremont Colleges which includes five undergraduate ( Pomona College, Claremont McKenna C ...

, and his PhD in

Stanford University Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

in 1981. In his doctoral thesis, he studied

de Finetti's theorem In probability theory, de Finetti's theorem states that exchangeable observations are conditionally independent relative to some latent variable. An epistemic probability distribution could then be assigned to this variable. It is named in honor ...

and its possible turn out in

Markov chain A Markov chain or Markov process is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, "What happe ...

. His dissertation was supervised by

Persi Diaconis Persi Warren Diaconis (; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University. He is particularly known f ...

Works

*Arif Zaman (1984),
An Approximation Theorem for Finite Markov Exchangeability
, ''

Annals of Applied Probability '' The Annals of Applied Probability'' is a leading peer-reviewed mathematics journal published by the Institute of Mathematical Statistics, which is the main international society for researchers in probability and statistics. The journal was es ...

'', volume 4, page 223–229. *"Random Binary Matrices in Bio-ecological Ecology - Instituting a Good Neighbor Policy", ''Environmental and Ecological Statistics'', 9, No. 4, 405–421, 2002, (with D. Simberloff).

References

External links

* * {{DEFAULTSORT:Zaman, Arif 20th-century Pakistani mathematicians 21st-century Pakistani mathematicians Claremont Graduate University alumni Florida State University faculty Harvey Mudd College alumni Lahore University of Management Sciences faculty Living people Pakistani statisticians Purdue University faculty Stanford University alumni Year of birth missing (living people)