Topic
Natural exponential family
About: Natural exponential family is a research topic. Over the lifetime, 1973 publications have been published within this topic receiving 60189 citations. The topic is also known as: NEF.
Papers published on a yearly basis
Papers
More filters
01 Jan 2009
TL;DR: In this article, a special class of Orlicz spaces is introduced and its properties are discussed with respect to probability measures, whose densities are connected by an exponential model, whose properties are similar to BDG-inequalities.
Abstract: A result is found which is similar to BDG-inequalities, but in the framework of exponential (non moderate) Orlicz spaces. A special class of such spaces is introduced and its properties are discussed with respect to probability measures, whose densities are connected by an exponential model.
3 citations
3 citations
TL;DR: In this paper, it was shown that if the convolution of n HNBUE distributions is exponential, then n-1 of the distributions are degenerate at zero and the other distribution is exponential.
Abstract: The authors show that if the convolution of n HNBUE distributions is exponential, then n-1 of the distributions are degenerate at zero and the other distribution is exponential. This result is also shown to hold for the wider HNBUE(3) class. The result extends similar results previously published for the IFRA and NBU cases. The authors conjecture that if a monotonic system formed with independent components has exponential life, it must be essentially a series system with exponential components. >
3 citations
TL;DR: In this article, the authors derived several recurrence relations satised by the single moments and product moments of progressive type-II censored order statistics from the Marshall-Olkin exponential distribution.
Abstract: Marshall-Olkin exponential distribution has been studied by Salah, et al. [6]. In this paper, we derive several recurrence relations satised by the single moments and product moments of progressive type-II censored order statistics from Marshall-Olkin exponential distribution. These relations may then be used to compute all means, variances and covariances of progressive type-II censored ordered statistics based on Marshall-Olkin exponential distribution for arbitrary censoring scheme.
3 citations