Sum of generalized exponential mixture distribution with random parameter
2015
In this paper we deduce the probability density function (PDF) for a random variable which follows the generalized exponential mixture distribution, where the parameter \(\alpha \) varies randomly. We derive the PDF for random sum of the generalized exponential distribution. Also, the PDF for random sum of the generalized exponential mixture distribution is investigated. And we give some special cases.
Keywords:
- Gamma distribution
- Exponentially modified Gaussian distribution
- Generalized integer gamma distribution
- Natural exponential family
- Erlang distribution
- Exponential-logarithmic distribution
- Statistics
- Generalized beta distribution
- Mathematics
- Mixture distribution
- Combinatorics
- Mathematical analysis
- Illustration of the central limit theorem
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
15
References
0
Citations
NaN
KQI