TY - GEN

T1 - Exponential Conway Maxwell Poisson distribution

AU - Adzkiah, A.

AU - Lestari, D.

AU - Safitri, L.

N1 - Funding Information:
This research is funded by PUTI Prosiding 2020 research grant from DPRM Universitas Indonesia.
Publisher Copyright:
© 2021 Author(s).

PY - 2021/7/23

Y1 - 2021/7/23

N2 - The study of the lifetime of an organism, devices, etc., is very important in the field of health, biology, and industry. We need a distribution that can model the data with certain characteristics. The lifetime distribution with a decreasing hazard rate has been discussed in the new literature. In this research, a new distribution with a decreasing hazard rate is presented with three parameters that match real data that has no zero observation, namely the Exponential Conway Maxwell Poisson distribution (ECOMP). The ECOMP distribution can be used to model the minimum lifetime of an exponential random variable. In this research, we explain how to construct ECOMP distribution and discuss its properties. The parameter estimation is performed using the maximum likelihood method. The application of earthquake data shows that the ECOMP distribution is more suitable in modeling data than the Exponential Poisson (EP) distribution.

AB - The study of the lifetime of an organism, devices, etc., is very important in the field of health, biology, and industry. We need a distribution that can model the data with certain characteristics. The lifetime distribution with a decreasing hazard rate has been discussed in the new literature. In this research, a new distribution with a decreasing hazard rate is presented with three parameters that match real data that has no zero observation, namely the Exponential Conway Maxwell Poisson distribution (ECOMP). The ECOMP distribution can be used to model the minimum lifetime of an exponential random variable. In this research, we explain how to construct ECOMP distribution and discuss its properties. The parameter estimation is performed using the maximum likelihood method. The application of earthquake data shows that the ECOMP distribution is more suitable in modeling data than the Exponential Poisson (EP) distribution.

KW - decreasing hazard rate

KW - lifetime data

KW - maximum likelihood method

KW - Mixing distribution

UR - http://www.scopus.com/inward/record.url?scp=85112113815&partnerID=8YFLogxK

U2 - 10.1063/5.0059254

DO - 10.1063/5.0059254

M3 - Conference contribution

AN - SCOPUS:85112113815

T3 - AIP Conference Proceedings

BT - Proceedings of the 6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020

A2 - Ivandini, Tribidasari A.

A2 - Churchill, David G.

A2 - Lee, Youngil

A2 - Alias, Yatimah Binti

A2 - Margules, Chris

PB - American Institute of Physics Inc.

T2 - 6th International Symposium on Current Progress in Mathematics and Sciences 2020, ISCPMS 2020

Y2 - 27 October 2020 through 28 October 2020

ER -