User:HansWDaniel/sandbox

Subject's popular name (birthdate – death) can be a lead-in to the subject's real, formal, or extended name. Describe the subject's nationality and profession(s) in which the subject is most notable. Provide a description of the subject's major contributions in the immediately relevant field(s) of notable expertise.

Biography
Ensure that the following sections are organized by year. For instance, the section Marriage and children might be presented before or after the Expanded descriptions, and vice versa.

Early life
Explain the subject's early life historically using a journalistic style.



Marriage and children
If the subject married and produced offspring, describe the marriage and list the immediate offspring.


 * Subject's Son (birthdate – death) If notable, provide a brief single-line description.
 * Subject's Daughter (birthdate – death) If notable, provide a brief single-line description.

Professional Carreer
Moshe Shaked has been for the past thirty-one years a professor of mathematics at the University of Arizona, Tucson, AZ. He received his B.A. and M.A. degrees from Hebrew University of Jerusalem in 1967 and 1971 respectively. Moshe pursued his graduate studies in mathematics and statistics under Albert W. Marshall at the University of Rochester from 1971 to 1975. Moshe received his Ph.D. in 1975 and his dissertation was entitled “On Concepts of Positive Dependence”. After short stays at the University of New Mexico, University of British Columbia, and at Indiana University, Moshe became an associate professor of mathematics at the University of Arizona in 1981. Since 1986, he has been a full professor at Arizona.

Moshe has made fundamental contributions in various areas of probability, statistics and operations research. He has published over 180 papers and many of his papers appeared in the top journals in probability, statistics and operations research. Co-authored with George Shanthikumar, Moshe published one of two popular books on stochastic orders [22] (the other book was written by Alfred M¨uller and Dietrich Stoyan [16]). Moshe’s contribution is extremely broad; for example, Moshe made seminal contributions to the following areas: • Dependence analysis, positive and negative dependence notions, dependence by mixture of distributions, distributions with fixed marginals, global dependence; 3 • Comparison of stochastic processes, aging properties of stochastic processes, aging first passage times; • Stochastic variability orders, dispersive ordering of distributions, excess wealth order; • Accelerated life tests – inference, nonparametric approach, and goodness-of-fit; • Multivariate phase-type distributions; • Multivariate aging notions, multivariate life distributions; • Multivariate conditional hazard rate functions; • Linkages as a tool for construction of multivariate distributions; • Inventory centralization costs and games; • Stochastic convexity and concavity, stochastic majorization; • Stochastic comparisons of order statistics; • Total time on test transform order; • Use of antithetic variables in simulation; • Scientific activity and truth acquisition in social epistemology, etc. In recognition of his many contributions, Moshe Shaked was elected as a Fellow of the Institute of Mathematical Statistics in 1986. He has been serving in editorial boards of various probability, statistics and operations research journals and book series. Moshe enjoys collaborations and has been working with more than 60 collaborators worldwide. Moshe is a stimulating, accommodating and generous collaborator with colleagues and students alike. Moshe and Edith travel a lot professionally, so the concepts of “vacation” and “conference” often have the same meaning for them. Changing a routine in Tuscon, visiting different places in other parts of the world, and meeting new friends (potential collaborators?) are all both relaxing and rewarding for Moshe and Edith. In coffee breaks of several conferences, we have witnessed that Moshe still worked on problems with collaborators one by one. It seems to us that Moshe values collaborating itself as much as he values possible products (i.e., papers) resulting from collaboration. This reminds us Paul Erd˝os, a great mathematician, who strongly believed in scientific collaboration and practiced mathematics research as a social activity.

Papers
If any, list the works organized by date of publication. See Charles Darwin for example. Kijima, M., Li, H. and Shaked, M.: Stochastic Processes in Reliability, Handbook of Statistics, 18, Eds. C. R. Rao and D. N. Shanbhag, 471-510 (1999) Shaked, M. and Shanthikumar, J. G.: IFRA properties of some Markov jump processes with general state space. Mathematics of Operations Research, 12, 562-568 (1987) Shaked, M. and Shanthikumar, J. G.: Stochastic Orders and Their Applications. Academic Shaked, M. and Tong, Y. L.: Stochastic Inequalities. Lecture Notes-Manograph Series, IMS, Hayward, CA (1992)

Publications
Stochastic Orders (Springer Series in Statistics) by Moshe Shaked and J. George Shanthikumar (Oct 17, 2006) Dynamic Modeling of Joint Lifetimes of Marginalization and of Multi-Unit Minimal Repairs by Moshe Shaked (1993) Reliability Modeling of Repairable Systems in Random Environments Using Multivariate Conditional Failure by M. Shaked (1990)

Awards
(If any)