書誌事項

Mathematics of the decision sciences

George B. Dantzig and Arthur F. Veinott, Jr., editors

(Lectures in applied mathematics, v. 11-12)

American Mathematical Society, 1968

  • pt. 1
  • pt. 2

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注記

"Prepared by the American Mathematical Society under contracts AT (30-1)-3164, Mod. no. 3, with U.S. Atomic Energy Commission, and PH-43-67-712 with the National Institute of Health and the Air Force Office of Scientific Research."--Verso t.p.

"Proceedings of the Fifth Summer Seminar on the Mathematics of the Decision Sciences sponsored by the American Mathematical Society and held at Stanford University from July 10 to August 11, 1967."--Foreword

Includes bibliographies

内容説明・目次

目次

  • Part II:
  • VI. Control Theory: A survey of certain aspects of control theory by L. W. Neustadt Necessary conditions for optimality in control programming by E. Polak Linear control processes and mathematical programming by G. B. Dantzig Numerical solution of optimal control problems by J. B. Rosen
  • VII. Mathematical Economics: Mathematical economics by H. W. Kuhn Applications of control theory to economic growth by K. J. Arrow Analysis of a one good model of economic development by D. Gale and W. R. Sutherland Dynamic Programming: Markovian decision processes--average cost criterion by C. Derman Optimal stochastic control by H. Chernoff On the optimality of $(s,S)$ inventory policies: new conditions and a new proof by A. F. Veinott, Jr.
  • IX. Applied Probability and Statistics: Branching processes by S. Karline Diffusion approximations in applied probability by D. I. Iglehart Reliability theory by R. E. Barlow Iterated logarithm inequalities and related statistical procedures by H. Robbins and D. Siegmund
  • X. Mathematical Psychology and Linguistics: Mathematical learning theory by M. F. Norman A survey of measurement theory by D. Krantz Two dimensional visual geometry by A. J. Ehrenfeucht Mathematical linguistics by S. Peters
  • XI. Computer Science: Computer science by A. H. Taub Computer science by W. F. Miller.

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