Accession Number:

AD0688404

Title:

ESTIMATING THE PARAMETER k OF THE RAYLEIGH DISTRIBUTION FROM CENSORED SAMPLES.

Descriptive Note:

Master's thesis,

Corporate Author:

SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s):

Report Date:

1969-04-16

Pagination or Media Count:

28.0

Abstract:

Let gx be the ratio of the ordinate and the probability integral for the Rayleigh distribution. That is, gx fxFx, where fx 2xkexp-x squaredk, x 0, k 0, and Fx the integral from 0 to x of ftdt. Tikus local approximation gx is approximately equal to alpha beta xthe square root of k is used to simplify the maximum likelihood equation for estimating k from a doubly censored sample from this population. The solution to the simplified maximum likelihood equation is the estimator for k, which is called k sub c. It is much easier to compute than the maximum likelihood estimator, since no iterative procedure is required. After the solution for k sub c is given, equations are developed for its bias and variance. Numerical comparisons are made among k sub c and other estimators for k. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE