A New Characterization of IFR-Distributions
โ Scribed by Gabriele Laue
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 362 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Denoting by \(X_{(1,} \leqslant X_{t 2} \leqslant \cdots \leqslant X_{(n)}\) the order statistic based on a random sample \(X_{1}, X_{2}, \ldots, X_{n}\) drawn from a distribution \(F\), it is shown that the property " \(E\left(X_{1} \mid X_{(1)}, X_{(n)}\right)=\frac{1}{2}\left(X_{(1)}+X_{(n)}\righ
Suppose X is a random variable having an absolutely continuous distribution function F(x). We assume that F ( x ) has the Wald distribution. A relation between the probability density function of X-' with that of X is used to characterize the Wald distribution. x > 0, A, p > 0, (3) in such situatio
In this article a characterisation of the Gumbel's Bivariate Exponential Distribution is established on the basis of the propertiea of the conditional expectation of the component variables. The characterieing property is propoeed as the definition of lack of memory in the biveriate case.