Next Article in Journal
A Quantitative Approach to Evaluate the Application of the Extended Situational Teaching Model in Engineering Education
Previous Article in Journal
General Formulas for the Central and Non-Central Moments of the Multinomial Distribution
Article

Kumaraswamy Generalized Power Lomax Distributionand Its Applications

1
Department of Statistics, Pondicherry University, Pondicherry 605 014, India
2
Department of Mathematics, LMNO, Université de Caen, Campus II, Science 3, 14032 Caen, France
*
Author to whom correspondence should be addressed.
Received: 24 December 2020 / Revised: 2 January 2021 / Accepted: 2 January 2021 / Published: 7 January 2021
In this paper, a new five-parameter distribution is proposed using the functionalities of the Kumaraswamy generalized family of distributions and the features of the power Lomax distribution. It is named as Kumaraswamy generalized power Lomax distribution. In a first approach, we derive its main probability and reliability functions, with a visualization of its modeling behavior by considering different parameter combinations. As prime quality, the corresponding hazard rate function is very flexible; it possesses decreasing, increasing and inverted (upside-down) bathtub shapes. Also, decreasing-increasing-decreasing shapes are nicely observed. Some important characteristics of the Kumaraswamy generalized power Lomax distribution are derived, including moments, entropy measures and order statistics. The second approach is statistical. The maximum likelihood estimates of the parameters are described and a brief simulation study shows their effectiveness. Two real data sets are taken to show how the proposed distribution can be applied concretely; parameter estimates are obtained and fitting comparisons are performed with other well-established Lomax based distributions. The Kumaraswamy generalized power Lomax distribution turns out to be best by capturing fine details in the structure of the data considered. View Full-Text
Keywords: kumaraswamy generalized distribution; moments; order statistics; lomax distribution; power lomax distribution kumaraswamy generalized distribution; moments; order statistics; lomax distribution; power lomax distribution
Show Figures

Figure 1

MDPI and ACS Style

Nagarjuna, V.B.V.; Vardhan, R.V.; Chesneau, C. Kumaraswamy Generalized Power Lomax Distributionand Its Applications. Stats 2021, 4, 28-45. https://0-doi-org.brum.beds.ac.uk/10.3390/stats4010003

AMA Style

Nagarjuna VBV, Vardhan RV, Chesneau C. Kumaraswamy Generalized Power Lomax Distributionand Its Applications. Stats. 2021; 4(1):28-45. https://0-doi-org.brum.beds.ac.uk/10.3390/stats4010003

Chicago/Turabian Style

Nagarjuna, Vasili B.V., R. V. Vardhan, and Christophe Chesneau. 2021. "Kumaraswamy Generalized Power Lomax Distributionand Its Applications" Stats 4, no. 1: 28-45. https://0-doi-org.brum.beds.ac.uk/10.3390/stats4010003

Find Other Styles

Article Access Map by Country/Region

1
Back to TopTop