Testing for bivariate gumbel against bivariate new better than used in expectation
Nader Baradaran Ebrahimi, Hassan Zahedi
Abstract
Nader Baradaran Ebrahimi, Hassan Zahedi
Abstract
It is shown that a bivariate survival function is both New Better than Used in Expectation (NBUE) and New Worse than Used in Expectation (NWUE) if and only if it is a bivariate Gumbel distribution. Statistical procedures are then presented to test whether that, within the class of bi-variate NBUE survival functions, a survival function is a Gumbel's bivariate exponential.
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It is shown that a bivariate survival function is both New Better than Used in Expectation (NBUE) and New Worse than Used in Expectation (NWUE) if and only if it is a bivariate Gumbel distribution. Statistical procedures are then presented to test whether that, within the class of bi-variate NBUE survival functions, a survival function is a Gumbel's bivariate exponential.
Key concepts: Gumbel distribution, Bivariate analysis, Mathematics, Survival function, Statistics, Univariate, Econometrics, Exponential function