• Corpus ID: 122056745

On the Sum of Exponentially Distributed Random Variables: A Convolution Approach

@inproceedings{Oguntunde2014OnTS,
  title={On the Sum of Exponentially Distributed Random Variables: A Convolution Approach},
  author={Pelumi E. Oguntunde and O. A. Odetunmibi and Adebowale Olusola Adejumo},
  year={2014}
}
In this paper, Exponential distribution as the only continuous statistical distribution that exhibits the memoryless property is being explored by deriving another two-parameter model representing the sum of two independent exponentially distributed random variables, investigating its statistical properties and verifying the memoryless property of the resulting model. 

Figures from this paper

A Comparative Analysis on the Performance of the Convoluted Exponential Distribution and the Exponential Distribution in Terms of Flexibility

In this article, the convoluted exponential distribution which was derived as the sum of two independent exponentially distributed random variables was compared with the exponential distribution in

Statistical Properties of the Exponentiated Generalized Inverted Exponential Distribution

We provide another generalization of the inverted exponential distribution which serves as a competitive model and an alternative to both the generalized inverse exponential distribution and the

Statistical Properties of the Exponentiated Generalized Inverted Exponential Distribution

We provide another generalization of the inverted exponential distribution which serves as a competitive model and an alternative to both the generalized inverse exponential distribution and the

Theoretical Analysis of the Kumaraswamy-Inverse Exponential Distribution

The Kumaraswamy distribution being a viable alternative to the beta distribution is being used to propose a three-parameter Kumaraswamy-Inverse Exponential distribution and some of its statistical

On a Fractional Beta-Exponential Distribution

A four parameter distribution representing the ratio of two independent Beta-Exponential variates is defined. An expression for the probability density function and the cumulative density function is

Theoretical Analysis of the Weibull Alpha Power Inverted Exponential Distribution: Properties and Applications

This article proposed a Weibull-Alpha Power Inverted Exponential (WAPIE) distribution for lifetime processes. Statistical properties of this distribution such as survival, hazard, reversed hazard,

The Transmuted Inverse Exponential Distribution

This article introduces a two-parameter probability model which represents another generalization of the Inverse Exponential distribution by using the quadratic rank transmuted map. The proposed

Ordinary differential equations of probability functions of convoluted distributions

This paper presents a meta-analyses of the response of the immune system to the presence of foreign substance such as anthrax and shows clear patterns of decline in the immune response to foreign substance abuse.

On The Transmuted Powered Moment Exponential Distribution

We introduce a new class of lifetime models called the transmuted powered moment exponential distribution. More specifically, the transmuted powered moment exponential distribution covers several new

Frequency-domain subcarrier diversity receiver for discrete Hartley transform OFDM systems

The coupling between symmetric carriers is exploited by introducing a frequency-domain subcarrier diversity receiver that takes advantage of the coupling to enhance the BER performance of the DHT-OFDM system by increasing the diversity gain between subcarriers.

References

SHOWING 1-8 OF 8 REFERENCES

The beta exponential distribution

Fitting an Exponential Distribution

Abstract Exponential distributions of the type N = N0 exp(−λt) occur with a high frequency in a wide range of scientific disciplines. This paper argues against a widely spread method for calculating

Statistical Properties of a Convoluted Beta-Weibull Distribution

A new class of distributions recently developed involves the logit of the beta distribution. Among this class of distributions are the beta-normal (Eugene et al. (2002)); beta-Gumbel (Nadarajah and

The Quotient of the beta-Weibull Distribution

The Quotient of the beta-Weibull Distribution Nonhle Channon Mdziniso A new class of distributions recently developed involves the logit of the beta distribution. Among this class of distributions

Reliability Engineering and System Safety

This paper presents a polynomial dimensional decomposition (PDD) method for global sensitivity analysis of stochastic systems subject to independent random input following arbitrary probability

Montgomery & George C . Runger ( 2003 )

  • Applied Statistics & Probability for Engineers . Third Edition

Applied Statistics & Probability for Engineers

  • 2003

“ On the Convoluted Beta - Exponential Distribution ”

  • Journal of Modern Mathematics and Statistics
  • 2012