>Comments on any and all of these appreciated. What books
>could still be used as textbooks today? As reference
>books? Classics everyone should have?
At least many of these are not statistics books. Nor have I seen
a large number of them.
At the present time, I would recommend very few of them as
textbooks, and not many as references. Those which claim to be
statistics texts are mainly the type I have been criticizing.
Operations research is the application of probabilitity, mainly.
Information theory, completely. Also, the level of some of the
books is not what the title would indicate. Game theory uses
probability, and some parts of game theory are useful in proving
results in statistics.
Goldberg IS a reasonable, but verbose, text for relatively weak
undergraduates in probability. Savage is neither a text nor a
reference; it is an overly philosophical book on foundations.
Chernoff and Moses is a fairly well written text, at the
high school algebra level, concerning decision making; it
has a discussion of utility, and discusses the problems.
Blackwell and Girshick is a well-written book, obsolete
when it came out. It a little more emphasis to game theory
than would be done now, but the game theory still is mainly
a tool for statistics; it is a necessary tool for some purposes.
The book is mostly written at the discrete probability level,
although there is some on estimation with continuous models.
It was recognized that, for purposes of rigor, there was
nothing between discrete and full measure-theoretic generality.
<W.H. Marlow, Mathematics for Operations Research
<J.E. Freund, Introduction to Probability
<F. Mosteller, Fifty Challenging Probs. w/ Solns.
<S. Goldberg, Probability, an Introduction
<A.A. Sveshnikov, Problems in Prob. Theory ...
<P.E. Pfeiffer, Concepts of Prob. Theory
<T.L. Saaty, Math. Methods of Op. Res.
<S.M. Ross, Applied Probability Models...
<Y.A. Rozanov, Prob. Theory: A Concise Course
<B.V. Gnedenko and A. Khinchin, An Elementary Intro. to the Theory
< of Probability
<J.E. Freund and F.J. Williams, Dictionary/Outline of Basic Stat.
<J. Mandel, The Statistical Analysis of Experimental Data
<W.A. Shewhart, Statistical Method ... Viewpoint of Qual. Control
<E.L. Crow, F.A. Davis, M.W. Maxfield, Statistics Manual
<W.E. Deming, Statistical Adjustment of Data
<R. Langley, Practical Statistics, Simply Explained
<M.G. Bulmer, Principles of Statistics
<L.J. Savage, The Foundations of Statistics
<H. Chernoff, L.E. Moses, Elementary Decision Theory
<K. Lancaster, Mathematical Economics
<R. Dorfman, P.A. Samuelson, R.M. Solow, Linear Programming and
< Economic Analysis
<W.E. Deming, Some Theory of Sampling
<Y.S. Chow, H. Robbins, D. Siegmund, The Theory of Optimal Stopping
<T.E. Harris, The Theory of Branching Processes
<T.L. Saaty, Mathematical Methods of O. R.
<T.L. Saaty, Elements of Queueing Theory with Apps.
<D. Raghavarao, Constructions and Comb. Probs. in D. E.
<A.I. Khinchin, Math. Foundations of Information Theory
<R. Ash, Information Theory
<S. Karlin, Math. Methods and Theory in Games, Prog., and Econ.
<R.D. Luce, H. Raiffa, Games and Decisions
<M. Dresher, Math. of Games and Strategy
<J.D. Williams, The Compleat Strategyst
<D.A. Blackwell, M.A. Girshick, Theory of Games and Stat. Decisions
<
<
--
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
Phone: (317)494-6054
hrubin@stat.purdue.edu (Internet, bitnet)
{purdue,pur-ee}!snap.stat!hrubin(UUCP)