DTIC ADA151906: Asymptotic Expansions of the Distribution pdf

DTIC ADA151906: Asymptotic Expansions of the Distribution

More Book Details

Description of the Book:

This thesis used three criteria to test for equality of p populations with underlying two parameter exponential distributions (theta = location parameter, sigma = scale parameter). The criers use n random samples drawn for each of the p populations. The three criteria are based on three hypotheses. The asymptotic expansion of the distributions are found based on the Neyman-Pearson likelihood ratio. The asymptotic expansions are computed using Bernoulli polynomials and a recursive relationship developed by Kalinin and Shalaevskii. Nine tables of percentage points are computed for each test statistic from the expansions where p = 2(1)10, n = 10(1)20(5)50(10)100, and alpha = .100, 050, .025, .010, .005. These tables along with a practical illustration give the analyst a good technique that can be applied to many exponentially related situations. Originator-supplied keywords include: Asymptotic series, Exponential Distributions, Distribution functions, Hypotheses, Percentage point tables, and Likelihood ratio

• Creator/s: Defense Technical Information Center
• Date: 12/1/1984
• Year: 1984
• Book Topics/Themes: DTIC Archive, Lawton, D J, AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING, *STATISTICAL TESTS, *DISTRIBUTION FUNCTIONS, THESES, ASYMPTOTIC SERIES, POLYNOMIALS, RECURSIVE FUNCTIONS, SAMPLING, TABLES(DATA), STATISTICAL DISTRIBUTIONS, HYPOTHESES, EXPONENTIAL FUNCTIONS, POPULATION(MATHEMATICS

An excerpt captured from the PDF book