Exponential and hypoexponential distributions: Some characterizations
Mathematics, ISSN: 2227-7390, Vol: 8, Issue: 12, Page: 1-10
2020
- 9Citations
- 718Usage
- 12Captures
- 2Mentions
Metric Options: CountsSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations9
- Citation Indexes9
- CrossRef9
- Usage718
- Downloads621
- Abstract Views97
- Captures12
- Readers12
- 12
- Mentions2
- Blog Mentions1
- Blog1
- References1
- 1
Article Description
The (general) hypoexponential distribution is the distribution of a sum of independent exponential random variables. We consider the particular case when the involved exponential variables have distinct rate parameters. We prove that the following converse result is true. If for some n ≥ 2, X, X, …, X are independent copies of a random variable X with unknown distribution F and a specific linear combination of X ’s has hypoexponential distribution, then F is exponential. Thus, we obtain new characterizations of the exponential distribution. As corollaries of the main results, we extend some previous characterizations established recently by Arnold and Villaseñor (2013) for a particular convolution of two random variables.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85097939012&origin=inward; http://dx.doi.org/10.3390/math8122207; https://www.mdpi.com/2227-7390/8/12/2207; https://scholarworks.utrgv.edu/mss_fac/111; https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1111&context=mss_fac; https://dx.doi.org/10.3390/math8122207
MDPI AG
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know