Abstract
In this chapter, characterization based on record values for a family of distributions namely; exponentiated generalized family of distributions is provided. Two measures of reliability are considered, namely; R(t) = P(X > t) and P = P(X > Y). Point as well as interval estimation procedures are developed for unknown parameter(s), R(t) and P, based on records. Two types of point estimators are considered, namely; (i) uniformly minimum variance unbiased estimators and (ii) 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.
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