A conversation with Ulf Grenander.

*(English)*Zbl 1246.01039Summary: Ulf Grenander was born in Vastervik, Sweden, on July 23, 1923. He started his undergraduate education at Uppsala University, and earned his B.A. degree in 1946, the Fil. Lic. degree in 1948 and the Fil. Dr. degree in 1950, all from the University of Stockholm. His Ph.D. thesis advisor was Harald Cramér. Professor Grenander is well known for pathbreaking research in a number of areas including pattern theory, computer vision, inference in stochastic processes, probabilities on algebraic structures and actuarial mathematics. He has published more than one dozen influential books created and nurtured a brand new area of research. During 1951-1966, Professor Grenander’s career path took him to the University of Chicago (1951-1952), the University of California-Berkeley (1952-1953), the University of Stockholm (1953-1957), Brown University (1957-1958) and the Institute for Insurance Mathematics and Mathematical Statistics (1958-1966) as its Professor and Director. From 1966 until his retirement he was L. Herbert Ballou University Professor at Brown University. Professor Grenander also held the position of Scientific Director (1971-1973) of the Swedish Institute of Applied Mathematics. He has earned many honors and awards, including Arhennius Fellow (1948), Fellow of the Institute of Mathematical Statistics (1953), Prize of the Nordic Actuaries (1961), Arnberger Prize of the Royal Swedish Academy of Science (1962), Member of the Royal Swedish Academy of Science (1965), Guggenheim Fellowship (1979) and Honorary Fellow of the Royal Statistical Society, London (1989). He has delivered numerous prestigious lectures, including the Rietz Lecture (1985), the Wald Lectures (1995) and the Mahalanobis Lecture (2004). Professor Grenander received an Honorary D.Sc. degree (1993) from the University of Chicago and is a Fellow of both the American Academy of Arts and Sciences (1995) and the National Academy of Sciences, U.S.A. (1998). Professor Grenander’s career, life, passion and hobbies can all be summarized by one simple word: Mathematics.

##### Biographic References:

Grenander, Ulf**OpenURL**

##### References:

[1] | Cramér, H. (1946). Mathematical Methods of Statistics . Princeton Univ. Press. · Zbl 0063.01014 |

[2] | Dalenius, T. (1950). The problem of optimum stratification. Skand. Aktuarietidskrift 33 203–213. · Zbl 0041.46302 |

[3] | Dalenius, T. and Hodges, J. L. (1957). The choice of stratification points. Skand. Aktuarietidskrift 40 198–203. · Zbl 0084.35905 |

[4] | Dalenius, T. and Hodges, J. L. (1959). Minimum variance stratification. J. Amer. Statist. Assoc . 54 88–101. · Zbl 0087.34101 |

[5] | Grenander, U. (1950). Stochastic processes and statistical inference. Ark. Mat. 1 195–277. (Ph.D. thesis, Univ. Stockholm. Also available as a monograph in Russian, Hungarian and Chinese.) · Zbl 0058.35501 |

[6] | Grenander, U. (1956). On the theory of mortality measurement. I. Skand. Aktuarietidskrift 39 70–96. · Zbl 0073.15404 |

[7] | Grenander, U. (1957). On the theory of mortality measurement. II. Skand. Aktuarietidskrift 39 125–153. · Zbl 0077.33715 |

[8] | Grenander, U. (1958). Some remarks on bonus systems in automobile insurance. Skand. Aktuarietidskrift 40 180–197. · Zbl 0087.16603 |

[9] | Grenander, U. (1963). Probabilities on Algebraic Structures . Wiley, New York. (Also available in Russian.) · Zbl 0131.34804 |

[10] | Grenander, U. (1976). Pattern Synthesis : Lectures in Pattern Theory 1 . Springer, New York. · Zbl 0334.68009 |

[11] | Grenander, U. (1978). Pattern Analysis : Lectures in Pattern Theory 2 . Springer, New York. · Zbl 0428.68098 |

[12] | Grenander, U. (1981a). Regular Structures : Lectures in Pattern Theory 3 . Springer, New York. (Also available in Russian.) · Zbl 0481.68081 |

[13] | Grenander, U. (1981b). Abstract Inference . Wiley, New York. · Zbl 0505.62069 |

[14] | Grenander, U. (1982). Mathematical Experiments on the Computer . Academic Press, New York. · Zbl 0541.68078 |

[15] | Grenander, U. (1993). General Pattern Theory. Oxford Univ. Press. |

[16] | Grenander, U. (1996). Elements of Pattern Theory. Johns Hopkins Univ. Press, Baltimore. · Zbl 0869.68096 |

[17] | Grenander, U., Chow, Y. and Keenan, D. M. (1991). HANDS : A Pattern-Theoretic Study of Biological Shapes . Springer, New York. · Zbl 0808.68018 |

[18] | Grenander, U. and Miller, M. I. (1994). Representations of knowledge in complex systems (with discussion). J. Roy. Statist. Soc. Ser. B 56 549–603. JSTOR: · Zbl 0814.62009 |

[19] | Grenander, U. and Miller, M. I. (2005). Pattern Theory : From Representation to Inference . Oxford University Press, New York. · Zbl 1259.62089 |

[20] | Grenander, U. and Rosenblatt, M. (1957). Statistical Analysis of Stationary Time Series . Wiley, New York. [2nd ed. (1984), Chelsea, New York.], Mathematical Reviews (MathSciNet): · Zbl 0080.12904 |

[21] | Grenander, U. and Sethuraman, J. (1994). Mixed limit theorems for pattern analysis. J. Multivariate Anal . 51 414–431. · Zbl 0855.62010 |

[22] | Grenander, U. and Szegö, G. (1958). Toeplitz Forms and Their Applications . Univ. California Press, Berkeley. [2nd ed. (1984), Chelsea, New York.] (Also available in Russian.), () Mathematical Reviews (MathSciNet): Mathematical Reviews (MathSciNet): MR0130488 · Zbl 0080.09501 |

[23] | Hǎjek, J. (1964). Asymptotic theory of rejective sampling with varying probabilities from a finite population. Ann. Math. Statist . 35 1491–1523. · Zbl 0138.13303 |

[24] | Kurien, T. V. and Sethuraman, J. (1993a). A mixed limit theorem for stable random fields. J. Multivariate Anal . 47 152–162. · Zbl 0780.60022 |

[25] | Kurien, T. V. and Sethuraman, J. (1993b). Singularities in Gaussian random fields. J. Theoret. Probab . 6 89–99. · Zbl 0764.60051 |

[26] | Rao, M. M. (2000). Stochastic Processes : Inference Theory . Kluwer, Dordrecht. · Zbl 0955.62086 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.