WorldCat Identities

Simons, Gordon

Overview
Works: 43 works in 73 publications in 1 language and 147 library holdings
Roles: Author
Classifications: QA276,
Publication Timeline
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Most widely held works by Gordon Simons
A large-dimensional iid property for nearest neighbor counts in Poisson processes by Yi-Ching Yao( Book )

2 editions published in 1994 in English and held by 13 WorldCat member libraries worldwide

A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games by Sándor Csörgő( Book )

2 editions published in 1994 in English and held by 13 WorldCat member libraries worldwide

Precision calculation of distributions for trimmed sums by Sándor Csörgő( Book )

2 editions published in 1994 in English and held by 13 WorldCat member libraries worldwide

Asymptotic sine laws arising from alternating random permutations and sequences by Gordon Simons( Book )

2 editions published in 1993 in English and held by 12 WorldCat member libraries worldwide

A three color problem by Gordon Simons( Book )

2 editions published in 1991 in English and held by 12 WorldCat member libraries worldwide

On a problem of ammunition rationing by Lawrence A Shepp( Book )

2 editions published in 1990 in English and held by 11 WorldCat member libraries worldwide

Estimating distortion consistently : an algebraic approach by Gordon Simons( Book )

2 editions published in 1989 in English and held by 10 WorldCat member libraries worldwide

Some results on the bomber problem by Gordon Simons( Book )

2 editions published in 1989 in English and held by 8 WorldCat member libraries worldwide

Probability and Expectation Inequalities by Stamatis Cambanis( Book )

3 editions published in 1980 in English and held by 3 WorldCat member libraries worldwide

This paper introduces a mathematical framework within which a wide variety of known and new inequalities can be viewed from a common perspective. Probability and expectation inequalities of the following types are considered: (a) P(Z epsilon A)> or = P(Z' epsilon A) for some class of sets A, (b) Ek(Z)> or = Ek(Z') for some class of functions k, and (c) El (Z)> or = Ek(Z') for some class of of pairs of functions l and k
On [alpha]-symmetric multivariate distributions by Stamatis Cambanis( Book )

2 editions published in 1981 in English and held by 3 WorldCat member libraries worldwide

Sequential estimators and the Cramér-Rao lower bound by Gordon Simons( Book )

3 editions published in 1979 in English and Undetermined and held by 3 WorldCat member libraries worldwide

The minimax risk for clinical trials by John Bather( Book )

1 edition published in 1984 in English and held by 2 WorldCat member libraries worldwide

A sequential estimation of tall probabilities in exponential distributions with a prescribed proportional closeness by Gordon Simons( Book )

3 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide

On the cost of not knowing the variance when making a fixed-width confidence interval of the mean by Gordon Simons( Book )

2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide

A Weak Invariance Principle with Applications to Domains of Attraction by Gordon Simons( Book )

2 editions published in 1975 in English and held by 2 WorldCat member libraries worldwide

An elementary probabilistic argument is given which establishes a 'weak invariance principle' which in turn implies the sufficiency of the classical assumptions associated with the weak convergence of normed sums to stable laws. The argument, which uses quantile functions (the inverses of distribution functions), exploits the fact that two random variables X = F sup( -1)(U) and Y = G sup( -1)(U) are, in a useful sense, close together when F and G are, in a certain sense, close together. Here U denotes a uniform variable on (0,1). Byproducts of the research are two alternative characterizations for a random variable being in the domain of partial attraction to a normal law and some results concerning the study of domains of partial attraction
Optimality within the class of sequential probability ratio tests by Gordon Simons( Book )

1 edition published in 1974 in English and held by 2 WorldCat member libraries worldwide

Generalized cumulative distribution functions: I. The linear case with applications to nonparametric statistics by Gordon Simons( Book )

2 editions published in 1972 in English and held by 2 WorldCat member libraries worldwide

The author investigates the behavior of (univariate) cumulative distribution functions which are defined on an abstract linearly ordered space. Special emphasis is given to the study of a class of linearly ordered spaces which J.H.B. Kemperman introduced into the subject of monparametric tolerance regions. Distribution functions on such spaces can be decomposed. Considerable attention is given to applications. In particular, it is shown how a number of nonparametric statistical procedures can be extended to include situations of multivariate and time dependent data. (Author)
Existence of optimal stopping rules for rewards related to Sn̳/n by David Siegmund( Book )

3 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide

On characterization of the gamma distribution by W. J Hall( Book )

2 editions published in 1968 in English and held by 1 WorldCat member library worldwide

Let X sub 1, X sub 2 ... be a sequence of i.i.d. random variables and S sub n = summation, j = 1 to j = n, of X sub j. If X sub 1 has a gamma distribution, (Z sub n is identically equal to S(subscript n, superscript r)/E(S subscript n, superscript r)); n = or> 1) is a reverse martingale sequence for any positive r. These reverse martingales find applications in sequential analysis. In this paper the converse is proved for any integer r> 1, and this provides a characterization of the gamma distribution; in fact, it is sufficient that the reverse martingale sequence have finite length r. Another characterization is also proved, extending the case r = 2 to non-identically distributed r.v.'s. (Author)
Existence of optimal stopping rules for rewards of the form cn̳[pipe]Sn̳[pipe][alpha] by Stanford University( Book )

2 editions published in 1967 in English and held by 1 WorldCat member library worldwide

 
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Alternative Names
Simons, G. (Gordon)

Languages
English (41)