In this article, characterization based on record values for Kumaraswamy-G distributions is provided. Two measures of reliability are considered, namely R(t) = P(X > t) and P = P(X > Y). Point and interval estimation procedures are developed for unknown parameter(s), R(t) and P, based on records. Two types of point estimators are considered, namely (1) uniformly minimum variance unbiased estimators and (2) maximum likelihood estimators. Testing procedures are also developed for the hypotheses related to various parametric functions. A comparative study of different methods of estimation is done through simulation studies. Real data example is used to illustrate the results.
Financed by the National Centre for Research and Development under grant No. SP/I/1/77065/10 by the strategic scientific research and experimental development program:
SYNAT - “Interdisciplinary System for Interactive Scientific and Scientific-Technical Information”.