Accession Number : AD0717933

Title :   Approximate Intervals and Tests for Products and Ratios of Binomial Probabilities.

Descriptive Note : Technical rept.,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Walsh,John E.

Report Date : 14 DEC 1970

Pagination or Media Count : 11

Abstract : The data are the observed numbers of successes for sets of independent trials from binomial distributions (success and failure are the possible outcomes for each binomial event). Desired are confidence intervals and tests for the product of the success probabilities for these binomial distributions. Also desired are intervals and tests for the product of a specified set of these probabilities divided by the product of the remaining probabilities. The situation of interest is that where, for all distributions, the success probabilities are of at least moderate size (say, at least 2/3) and the numbers of trials are at least moderately large. Approximate intervals and tests are developed by use of logarithms, expansions, and normal approximations. These results have application in investigating and comparing system reliabilities. (Author)

Descriptors :   (*STATISTICAL TESTS, STOCHASTIC PROCESSES), CONFIDENCE LIMITS, STATISTICAL DISTRIBUTIONS, APPROXIMATION(MATHEMATICS), ANALYSIS OF VARIANCE, RELIABILITY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE