James Pickands Explained

James Pickands III (September 4, 1931 – March 9, 2022) was an American mathematical statistician known for his contribution to extreme value theory and stochastic processes.^{[1] [2]}

Pickands was born in Euclid, Ohio to James Pickands II and Sarah Cornelia Martin.^[3] He studied at Yale University, where he obtained his bachelor's degree. He then moved to Columbia University, where he received his PhD under Simeon Berman in 1965. While at Columbia, Pickands also worked with Emil Gumbel,^[4] and developed interests in extreme value theory.

Pickands served in the US Army in Aberdeen, Maryland^[5] after graduating from Columbia university. He briefly taught at Virginia Tech as an assistant professor before joining the Wharton School at the University of Pennsylvania in 1969 as an associate professor, where he stayed for the rest of his career.

Pickands had three doctoral students, including Bruce Cooil.^[6]

Personal life

Pickands's great-grandfather James S. Pickands (1839–1896)^[7] is a cofounder of the American shipping company Pickands Mather Group.

Bibliography

• Pickands Iii . James . 1967 . Sample Sequences of Maxima . The Annals of Mathematical Statistics . en . 38 . 5 . 1570–1574 . 10.1214/aoms/1177698711 . 0003-4851. free .
• Pickands . James . 1967 . Maxima of stationary Gaussian processes . Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete . en . 7 . 3 . 190–223 . 10.1007/BF00532637 . 125732567 . 0044-3719. free .
• Pickands Iii . James . 1968 . Moment Convergence of Sample Extremes . The Annals of Mathematical Statistics . 39 . 3 . 881–889 . 10.1214/aoms/1177698320 . 0003-4851. free .
• Pickands . James . 1969 . Upcrossing probabilities for stationary Gaussian processes . Transactions of the American Mathematical Society . en . 145 . 51–73 . 10.1090/S0002-9947-1969-0250367-X . 0002-9947. free .
• Pickands . James . 1971 . The two-dimensional Poisson process and extremal processes . Journal of Applied Probability . en . 8 . 4 . 745–756 . 10.2307/3212238 . 3212238 . 208869161 . 0021-9002.
• Pickands Iii . James . 1975 . Statistical Inference Using Extreme Order Statistics . The Annals of Statistics . 3 . 1 . 10.1214/aos/1176343003 . 0090-5364.
• Pickands, James (1981). "Multivariate extreme value distribution." Proceedings 43th, Session of International Statistical Institution, 859–878.
• Pickands Iii . James . 1986 . The Continuous and Differentiable Domains of Attraction of the Extreme Value Distributions . The Annals of Probability . 14 . 3 . 10.1214/aop/1176992453 . 0091-1798. free .

See also

• Pickands–Balkema–De Haan theorem

Notes and References

1. Web site: Institute of Mathematical Statistics Obituary: James Pickands III 1931–2022 . 2023-02-23 . en.
2. Web site: James Pickands III, Wharton . 2023-02-23 . almanac.upenn.edu . en.
3. Web site: James Pickands II . 2023-04-02 . ancestors.familysearch.org.
4. Gumbel . E. J. . Iii . James Pickands . 1967 . Probability Tables for the Extremal Quotient . The Annals of Mathematical Statistics . 38 . 5 . 1541–1551 . 10.1214/aoms/1177698708 . 0003-4851. free .
5. Web site: Yuen . Gloria . 2022-05-06 . James Pickands III . 2023-02-23 . News . en-US.
6. Web site: James Pickands, III - The Mathematics Genealogy Project . 2023-12-10 . www.genealogy.math.ndsu.nodak.edu.
7. Web site: 2018-06-18 . PICKANDS, JAMES S. . 2023-04-02 . Encyclopedia of Cleveland History Case Western Reserve University . en.