Background
Teicher, Henry Earl was born on July 9, 1922 in Jersey City. Son of Leo and Anna Binn Teicher.
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Probability Theory: Independence, Interchangeability, Martingales (Springer Texts Statistics)
(Apart from new examples and exercises, some simplificatio...)
Apart from new examples and exercises, some simplifications of proofs, minor improvements, and correction of typographical errors, the principal change from the first edition is the addition of section 9.5, dealing with the central limit theorem for martingales and more general stochastic arrays. vii Preface to the First Edition Probability theory is a branch of mathematics dealing with chance phenomena and has clearly discernible links with the real world. The origins of the sub ject, generally attributed to investigations by the renowned French mathe matician Fermat of problems posed by a gambling contemporary to Pascal, have been pushed back a century earlier to the Italian mathematicians Cardano and Tartaglia about 1570 (Ore, 1953). Results as significant as the Bernoulli weak law of large numbers appeared as early as 1713, although its counterpart, the Borel strong law oflarge numbers, did not emerge until 1909. Central limit theorems and conditional probabilities were already being investigated in the eighteenth century, but the first serious attempts to grapple with the logical foundations of probability seem to be Keynes (1921), von Mises (1928; 1931), and Kolmogorov (1933).
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Probability Theory: Independence Interchangeability Martingales
http://www.amazon.com/gp/product/1468400649/?tag=2022091-20
Probability Theory: Independence, Interchangeability, Martingales (Springer Texts in Statistics)
( Comprising the major theorems of probability theory and...)
Comprising the major theorems of probability theory and the measure theoretical foundations of the subject, the main topics treated here are independence, interchangeability, and martingales. Particular emphasis is placed upon stopping times, both as tools in proving theorems and as objects of interest themselves. No prior knowledge of measure theory is assumed and a unique feature of the book is the combined presentation of measure and probability. It is easily adapted for graduate students familiar with measure theory using the guidelines given. Special features include: - A comprehensive treatment of the law of the iterated logarithm - The Marcinklewicz-Zygmund inequality, its extension to martingales and applications thereof - Development and applications of the second moment analogue of Walds equation - Limit theorems for martingale arrays; the central limit theorem for the interchangeable and martingale cases; moment convergence in the central limit theorem - Complete discussion, including central limit theorem, of the random casting of r balls into n cells - Recent martingale inequalities - Cram r-L vy theorem and factor-closed families of distributions.
http://www.amazon.com/gp/product/0387406077/?tag=2022091-20
Henry Earl Teicher
Edit ProfileEducation
Bachelor, State University Iowa, 1946. Master of Arts, Columbia University, 1947. Doctor of Philosophy, Columbia University, 1950.
Career
From assistant professor to professor Purdue University, West Lafayette, Indiana, 1951—1967. Assistant professor Stanford University, Palo Alto, California, 1955—1956. Associate professor New York University, New York City, 1960—1962.
Professor Columbia University, 1967—1968, Rutgers University, New Brunswick, New Jersey, 1968—1993. Retired, 1993
Consultant Radio Corporation American, Indianapolis, 1967. With United States Army, 1943-1946.
Achievements
Works
book
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Probability Theory: Independence, Interchangeability, Martingales (Springer Texts Statistics)
(Apart from new examples and exercises, some simplificatio...)
-
Probability Theory: Independence, Interchangeability, Martingales (Springer Texts in Statistics)
( Comprising the major theorems of probability theory and...)
- Probability Theory: Independence, Interchangeability, Martingales
- Probability Theory: Independence Interchangeability Martingales
-
Probability Theory: Independence, Interchangeability, Martingales (Springer Texts Statistics)
Membership
Fellow: Institute of Mathematics Statistical. Member: Phi Beta Kappa.
Interests
Connections
Married Anne Severin, August 14, 1962. 1 child Rikke Jordahn.
