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Your search keyword '"Mathematics"' showing total 3 results
Start Over Descriptor "Mathematics" Search Limiters Full Text Topic binomial distribution Topic mathematical analysis Publication Year Range More than 50 years ago Journal journal of the american statistical association
3 results on '"Mathematics"'

1. Truncated Version of a Play-the-Winner Rule for Choosing the Better of Two Binomial Populations.

Author

Kiefer, James E. and Weiss, George H.

Subjects
*NUMERICAL analysis, *PROBABILITY theory, *BINOMIAL distribution, *BINOMIAL theorem, *MATHEMATICS, *MATHEMATICAL analysis
Abstract

Results are developed for play-the-winner sampling for choosing the better of two binomial populations when the maximum number of tests is specified. It is shown that for a fixed number of tests the probability of correct selection with alternating assignment exceeds that for play- the-winner sampling. However, when the probability of correct selection is fixed, neither sampling method is uniformly better than the other as measured by the expected number of tests on the poorer population, or on the total expected number of tests. [ABSTRACT FROM AUTHOR]

Published
1974
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2. Negative Moments of Positive Random Variables.

Author

Chao, M. T. and Strawderman, W. E.

Subjects
*RANDOM variables, *COMBINATORICS, *NONNEGATIVE matrices, *MATHEMATICAL combinations, *PROBABILITY theory, *MATHEMATICS, *BINOMIAL distribution, *MATHEMATICAL analysis, *POISSON distribution, *MATHEMATICAL variables
Abstract

We investigate the problem of finding the expected value of functions of a random variable X of the form f(X) = (X + A)[sup -n] where X + A > 0 a.s. and n is a non-negative integer. The technique is to successively integrate the probability generating function and is suggested by the well-known result that successive differentiation leads to the positive moments. The technique is applied to the problem of finding E[1/(X + A)] for the binomial and Poisson distributions. [ABSTRACT FROM AUTHOR]

Published
1972
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3. A Characterization of Hypergeometric Distributions

Author

Morris Skibinsky

Subjects
Statistics and Probability, Binomial distribution, Pure mathematics, Beta-binomial distribution, Binomial approximation, Mathematical analysis, Statistical parameter, Multinomial theorem, Statistics, Probability and Uncertainty, Binomial series, Binomial theorem, Hypergeometric distribution, Mathematics
Abstract

A theorem, that mixtures with binomial mixing distribution which are themselves binomial characterize the hypergeometric family of distributions, is displayed in various forms (the theorem and three equivalent restatements). These exhibit the fact that the property in question is related in a fundamental way to properties of moment sequences for distributions on the unit interval and is in fact equivalent to an identity on the space of the first N moments for distributions on the unit interval where N is the sample size parameter of the binomial mixing distributions.

Published
1970

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